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diff --git a/Data/Mesh/nonlinearmembrane_square.mesh b/Data/Mesh/nonlinearmembrane_square.mesh
new file mode 100644
index 0000000000000000000000000000000000000000..74d343fe459d2bc4a1555b0c536ac476a32b8a89
--- /dev/null
+++ b/Data/Mesh/nonlinearmembrane_square.mesh
@@ -0,0 +1,308 @@
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diff --git a/Sources/ModelInstances/Elasticity/demo_input_elasticity_copy.lua b/Sources/ModelInstances/Elasticity/demo_input_elasticity_copy.lua
new file mode 100644
index 0000000000000000000000000000000000000000..8970926d8352f672ec8783d9d8d039677352fadd
--- /dev/null
+++ b/Sources/ModelInstances/Elasticity/demo_input_elasticity_copy.lua
@@ -0,0 +1,575 @@
+-- Comment lines are introduced by "--".
+-- In a section (i.e. within braces), all entries must be separated by a comma.
+
+-- transient
+transient = {
+    
+    -- Tells which policy is used to describe time evolution.
+    -- Expected format: "VALUE"
+    -- Constraint: value_in(v, {'constant_time_step', 'variable_time_step'}})
+    time_evolution_policy = "constant_time_step",
+    
+    
+    -- Time at the beginning of the code (in seconds).
+    -- Expected format: VALUE
+    -- Constraint: v >= 0.
+    init_time = 0.,
+
+	-- Time step between two iterations, in seconds.
+	-- Expected format: VALUE
+	-- Constraint: v > 0.
+	timeStep = 0.1,
+    
+    -- Minimum time step between two iterations, in seconds.
+    -- Expected format: VALUE
+    -- Constraint: v > 0.
+    minimum_time_step = 0.1,
+
+	-- Maximum time, if set to zero run a static case.
+	-- Expected format: VALUE
+	-- Constraint: v >= 0.
+	timeMax = 0.
+}
+
+
+-- NumberingSubset1
+NumberingSubset1 = {
+    -- Name of the numbering subset (not really used; at the moment I just need one input parameter to ground
+    -- the possible values to choose elsewhere).
+    -- Expected format: "VALUE"
+    name = "monolithic",
+    
+    -- Whether a vector defined on this numbering subset might be used to compute a movemesh. If true, a
+    -- FEltSpace featuring this numbering subset will compute additional quantities to enable fast computation.
+    -- This should be false for most numbering subsets, and when it's true the sole unknown involved should be a
+    -- displacement.
+    -- Expected format: 'true' or 'false' (without the quote)
+    do_move_mesh = false
+
+}
+
+
+
+
+-- Unknown1: displacement.
+Unknown1 = {
+    -- Name of the unknown (used for displays in output).
+    -- Expected format: "VALUE"
+    name = "solid_displacement",
+    
+    -- Index of the god of dof into which the finite element space is defined.
+    -- Expected format: "VALUE"
+    -- Constraint: value_in(v, {'scalar', 'vectorial'})
+    nature = "vectorial"
+}
+
+
+
+
+
+-- Mesh1
+Mesh1 = {
+	-- Path of the mesh file to use.
+	-- Expected format: "VALUE"
+	mesh = "${MOREFEM_ROOT}/Data/Mesh/elasticity_Nx50_Ny20_force_label.mesh",
+
+	-- Format of the input mesh.
+	-- Expected format: "VALUE"
+	-- Constraint: value_in(v, {'Ensight', 'Medit'})
+	format = "Medit",
+
+	-- Highest dimension of the input mesh. This dimension might be lower than the one effectively read in the mesh file; 
+	-- in which case Coords will be reduced provided all the dropped values are 0. If not, an exception is thrown. 
+	-- Expected format: VALUE
+	-- Constraint: v <= 3 and v > 0
+    dimension = 2,
+    
+    -- Space unit of the mesh.
+    -- Expected format: VALUE
+    space_unit = 1.
+}
+
+
+-- Domain1 - The 2D elements of the bar.
+Domain1 = {
+    -- Index of the geometric mesh upon which the domain is defined (as defined in the present file). Might be
+    -- left empty if domain not limited to one mesh; at most one value is expected here.
+    -- Expected format: {VALUE1}
+    mesh_index = { 1 },
+    
+    -- List of dimensions encompassed by the domain. Might be left empty if no restriction at all upon
+    -- dimensions.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    -- Constraint: value_in(v, {0, 1, 2, 3})
+    dimension_list = { 2 },
+    
+    -- List of mesh labels encompassed by the domain. Might be left empty if no restriction at all upon mesh
+    -- labels. This parameter does not make sense if no mesh is defined for the domain.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    mesh_label_list = { },
+    
+    -- List of geometric element types considered in the domain. Might be left empty if no restriction upon
+    -- these.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    geometric_element_type_list = { }
+}
+
+
+-- Domain2 - The border upon which surfacic forces are applied.
+Domain2 = {
+    -- Index of the geometric mesh upon which the domain is defined (as defined in the present file). Might be
+    -- left empty if domain not limited to one mesh; at most one value is expected here.
+    -- Expected format: {VALUE1}
+    -- Expected format: VALUE
+    mesh_index = { 1 },
+    
+    -- List of dimensions encompassed by the domain. Might be left empty if no restriction at all upon
+    -- dimensions.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    -- Constraint: value_in(v, {0, 1, 2, 3})
+    dimension_list = { 1 },
+    
+    -- List of mesh labels encompassed by the domain. Might be left empty if no restriction at all upon mesh
+    -- labels. This parameter does not make sense if no mesh is defined for the domain.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    mesh_label_list = { 2 },
+    
+    -- List of geometric element types considered in the domain. Might be left empty if no restriction upon
+    -- these.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    geometric_element_type_list = { }
+}
+
+
+-- Domain3 - upon which Dirichlet boundary condition is applied.
+Domain3 = {
+    -- Index of the geometric mesh upon which the domain is defined (as defined in the present file). Might be
+    -- left empty if domain not limited to one mesh; at most one value is expected here.
+    -- Expected format: {VALUE1}
+    -- Expected format: VALUE
+    mesh_index = { 1 },
+    
+    -- List of dimensions encompassed by the domain. Might be left empty if no restriction at all upon
+    -- dimensions.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    -- Constraint: value_in(v, {0, 1, 2, 3})
+    dimension_list = { },
+    
+    -- List of mesh labels encompassed by the domain. Might be left empty if no restriction at all upon mesh
+    -- labels. This parameter does not make sense if no mesh is defined for the domain.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    mesh_label_list = { 1 },
+    
+    -- List of geometric element types considered in the domain. Might be left empty if no restriction upon
+    -- these.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    geometric_element_type_list = { }
+}
+
+
+Domain4 = {
+    -- Index of the geometric mesh upon which the domain is defined (as defined in the present file). Might be
+    -- left empty if domain not limited to one mesh; at most one value is expected here.
+    -- Expected format: {VALUE1}
+    -- Expected format: VALUE
+    mesh_index = { 1 },
+    
+    -- List of dimensions encompassed by the domain. Might be left empty if no restriction at all upon
+    -- dimensions.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    -- Constraint: value_in(v, {0, 1, 2, 3})
+    dimension_list = { },
+    
+    -- List of mesh labels encompassed by the domain. Might be left empty if no restriction at all upon mesh
+    -- labels. This parameter does not make sense if no mesh is defined for the domain.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    mesh_label_list = { },
+    
+    -- List of geometric element types considered in the domain. Might be left empty if no restriction upon
+    -- these.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    geometric_element_type_list = { }
+}
+
+
+
+EssentialBoundaryCondition1 = {
+    
+    -- Name of the boundary condition (must be unique).
+    -- Expected format: "VALUE"
+    name = "sole",
+    
+    -- Comp1, Comp2 or Comp3
+    -- Expected format: "VALUE"
+    -- Constraint: value_in(v, {'Comp1', 'Comp2', 'Comp3', 'Comp12', 'Comp23', 'Comp13', 'Comp123'})
+    component = 'Comp12',
+    
+    -- Name of the unknown addressed by the boundary condition.
+    -- Expected format: "VALUE"
+    unknown = 'solid_displacement',
+    
+    -- Values at each of the relevant component.
+    -- Expected format: {VALUE1, VALUE2, ...}
+    value = { 0., 0. },
+    
+    -- Index of the domain onto which essential boundary condition is defined.
+    -- Expected format: VALUE
+    domain_index = 3,
+    
+    -- Whether the values of the boundary condition may vary over time.
+    -- Expected format: 'true' or 'false' (without the quote)
+    is_mutable = false,
+    
+    -- Whether a dof of this boundary condition may also belong to another one. This highlights an ill-defined
+    -- model in most cases, but I nonetheless need it for FSI/ALE.
+    -- Expected format: 'true' or 'false' (without the quote)
+    may_overlap = false
+    
+} -- EssentialBoundaryCondition1
+
+
+
+-- FiniteElementSpace1
+FiniteElementSpace1 = {
+    -- Index of the god of dof into which the finite element space is defined.
+    -- Expected format: VALUE
+    god_of_dof_index = 1,
+    
+    -- Index of the domain onto which the finite element space is defined. This domain must be unidimensional.
+    -- Expected format: VALUE
+    domain_index = 1,
+    
+    -- List of all unknowns defined in the finite element space. Unknowns here must be defined in this file as
+    -- an 'Unknown' block; expected name/identifier is the name given there.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    unknown_list = {"solid_displacement"},
+    
+    
+    -- List of the shape function to use for each unknown;
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    shape_function_list = {'P1b'},
+
+    -- List of the numbering subset to use for each unknown;
+    -- Expected format: {VALUE1, VALUE2, ...}
+    numbering_subset_list = { 1 }
+}
+
+-- FiniteElementSpace2
+FiniteElementSpace2 = {
+    -- Index of the god of dof into which the finite element space is defined.
+    -- Expected format: VALUE
+    god_of_dof_index = 1,
+    
+    -- Index of the domain onto which the finite element space is defined. This domain must be unidimensional.
+    -- Expected format: VALUE
+    domain_index = 2,
+    
+    -- List of all unknowns defined in the finite element space. Unknowns here must be defined in this file as
+    -- an 'Unknown' block; expected name/identifier is the name given there.
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    unknown_list = {'solid_displacement'},
+    
+    -- List of the shape function to use for each unknown;
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    shape_function_list = {'P1'},
+    
+    -- List of the numbering subset to use for each unknown;
+    -- Expected format: {VALUE1, VALUE2, ...}
+    numbering_subset_list = { 1 }
+}
+
+
+
+-- Petsc
+Petsc1 = {
+	-- Absolute tolerance
+	-- Expected format: {VALUE1, VALUE2, ...}
+	-- Constraint: v > 0.
+	absoluteTolerance = 1e-10,
+
+	-- gmresStart
+	-- Expected format: {VALUE1, VALUE2, ...}
+	-- Constraint: v >= 0
+	gmresRestart = 200,
+
+	-- Maximum iteration
+	-- Expected format: {VALUE1, VALUE2, ...}
+	-- Constraint: v > 0
+	maxIteration = 1000,
+
+	-- List of preconditioner: { none jacobi sor lu bjacobi ilu asm cholesky }.
+	-- To use mumps: preconditioner = lu
+	-- Expected format: {"VALUE1", "VALUE2", ...}
+	-- Constraint: value_in(v, 'lu')
+	preconditioner = 'lu',
+
+	-- Relative tolerance
+	-- Expected format: {VALUE1, VALUE2, ...}
+	-- Constraint: v > 0.
+	relativeTolerance = 1e-6,
+    
+    -- Step size tolerance
+    -- Expected format: {VALUE1, VALUE2, ...}
+    -- Constraint: v > 0.
+    stepSizeTolerance = 1e-8,
+
+    -- List of solver: { chebychev cg gmres preonly bicg python };
+	-- To use Mumps choose preonly.
+	-- Expected format: {"VALUE1", "VALUE2", ...}
+	-- Constraint: value_in(v, {'Mumps', 'Umfpack'})
+	solver = 'Mumps'
+}
+
+Solid = {
+    
+    -- For 2D operators, which approximation to use.
+    -- Expected format: "VALUE"
+    -- Constraint: value_in(v, {'irrelevant', 'plane_strain', 'plane_stress'})
+    PlaneStressStrain = "plane_strain",
+    
+    VolumicMass = {
+        
+        -- How is given the parameter (as a constant, as a Lua function, per quadrature point, etc...)
+        -- Expected format: "VALUE"
+        -- Constraint: value_in(v, {'ignore', 'constant', 'lua_function', 'at_quadrature_point', 'piecewise_constant_by_domain'})
+        nature = "constant",
+        
+        -- Value of the volumic mass in the case nature is 'constant'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: VALUE
+        -- Constraint: v > 0.
+        scalar_value = 1.,
+        
+        -- Value of the volumic mass in the case nature is 'lua_function'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: Function in Lua language, for instance:
+        -- 		-- function(arg1, arg2, arg3)
+        -- return arg1 + arg2 -
+        -- arg3
+        -- end
+        -- sin, cos and tan require a 'math.'
+        -- preffix.
+        -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+        -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+        lua_function = none,
+        
+        -- Domain indices of the parameter in the case nature is 'piecewise_constant_by_domain'. The various
+        -- domains given here must not intersect.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_id = { },
+        
+        -- Value of the parameter in the case nature is 'piecewise_constant_by_domain'.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_value = { }
+        
+    }, -- VolumicMass
+    
+
+    
+    
+    PoissonRatio = {
+        
+        -- How is given the parameter (as a constant, as a Lua function, per quadrature point, etc...)
+        -- Expected format: "VALUE"
+        -- Constraint: value_in(v, {'ignore', 'constant', 'lua_function', 'at_quadrature_point', 'piecewise_constant_by_domain'})
+        nature = "constant",
+        
+        -- Value of the volumic mass in the case nature is 'constant'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: VALUE
+        -- Constraint: v > 0.
+        scalar_value = 0.3,
+        
+        -- Value of the volumic mass in the case nature is 'lua_function'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: Function in Lua language, for instance:
+        -- 		-- function(arg1, arg2, arg3)
+        -- return arg1 + arg2 -
+        -- arg3
+        -- end
+        -- sin, cos and tan require a 'math.'
+        -- preffix.
+        -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+        -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+        lua_function = none,
+        
+        -- Domain indices of the parameter in the case nature is 'piecewise_constant_by_domain'. The various
+        -- domains given here must not intersect.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_id = {},
+        
+        -- Value of the parameter in the case nature is 'piecewise_constant_by_domain'.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_value = {},
+        
+    }, -- PoissonRatio
+    
+    YoungModulus = {
+        
+        -- How is given the parameter (as a constant, as a Lua function, per quadrature point, etc...)
+        -- Expected format: "VALUE"
+        -- Constraint: value_in(v, {'ignore', 'constant', 'lua_function', 'at_quadrature_point', 'piecewise_constant_by_domain'})
+        nature = 'constant',
+        
+        -- Value of the volumic mass in the case nature is 'constant'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: VALUE
+        -- Constraint: v > 0.
+        scalar_value = 3.e7,
+        
+        -- Value of the volumic mass in the case nature is 'lua_function'(and also initial value if nature is
+        -- 'at_quadrature_point'; irrelevant otherwise).
+        -- Expected format: Function in Lua language, for instance:
+        -- 		-- function(arg1, arg2, arg3)
+        -- return arg1 + arg2 -
+        -- arg3
+        -- end
+        -- sin, cos and tan require a 'math.'
+        -- preffix.
+        -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+        -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+        lua_function = none,
+        
+        -- Domain indices of the parameter in the case nature is 'piecewise_constant_by_domain'. The various
+        -- domains given here must not intersect.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_id = {},
+        
+        -- Value of the parameter in the case nature is 'piecewise_constant_by_domain'.
+        -- Expected format: {VALUE1, VALUE2, ...}
+        piecewise_constant_domain_value = {},
+        
+    }, -- YoungModulus
+    
+} -- Solid
+
+TransientSource1 = {
+    
+    -- How is given the transient source value (as a constant, as a Lua function, per quadrature point, etc...)
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    -- Constraint: value_in(v, {'ignore', 'constant', 'lua_function'})
+    nature = {"ignore", "ignore", "ignore"},
+    
+    -- Value of the transient source in the case nature is 'constant'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Expected format: {VALUE1, VALUE2, ...}
+    scalar_value = { 0. , -0.0001, 0.},
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh).
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 -
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.'
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+    lua_function_x = none,
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh).
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 -
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.'
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+    lua_function_y = none,
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh).
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 -
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.'
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+    lua_function_z = none
+    
+} -- TransientSource1
+
+-- Surfacic source
+TransientSource2 = {
+    
+    -- How is given the transient source value (as a constant, as a Lua function, per quadrature point, etc...)
+    -- Expected format: {"VALUE1", "VALUE2", ...}
+    -- Constraint: value_in(v, {'ignore', 'constant', 'lua_function'})
+    nature = {"constant", "constant", "constant"},
+    
+    -- Value of the transient source in the case nature is 'constant'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Expected format: {VALUE1, VALUE2, ...}
+    scalar_value = { 1.e6, 0., 0.},
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh).
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 -
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.'
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function.
+    lua_function_x = none,
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh). 
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 - 
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.' 
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the 
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function. 
+    lua_function_y = function (x, y, z)
+    return -0.5 * math.cos(x) * math.sin(y + .1);
+    end,
+    
+    -- Value of the transient source  in the case nature is 'lua_function'(and also initial value if nature is 
+    -- 'at_quadrature_point'; irrelevant otherwise).
+    -- Function expects as arguments global coordinates (coordinates in the mesh). 
+    -- Expected format: Function in Lua language, for instance:
+    -- 	-- function(arg1, arg2, arg3)
+    -- return arg1 + arg2 - 
+    -- arg3
+    -- end
+    -- sin, cos and tan require a 'math.' 
+    -- preffix.
+    -- If you do not wish to provide one, put anything you want (e.g. 'none'): the 
+    -- content is not interpreted by LuaOptionFile until an actual use of the underlying function. 
+    lua_function_z = none,
+    
+} -- TransientSource2
+
+
+-- Result
+Result = {
+	-- Directory in which all the results will be written. This path may use the environment variable 
+	-- MOREFEM_RESULT_DIR, which is either provided in user's environment or automatically set to 
+	-- '/Volumes/Data/${USER}/MoReFEM/Results' in MoReFEM initialization step.
+	-- Expected format: "VALUE"
+    -- output_directory = "/home/sebastien/Data/MoReFEM/Results/Hyperelasticity", -- LINUX
+    output_directory = "/Users/antoineo/Codes/MoReFEM/Results/Elasticity",
+    
+    -- Enables to skip some printing in the console. Can be used to WriteSolution every n time.
+    -- Expected format: VALUE
+    display_value = 1
+}
+
diff --git a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.cpp b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.cpp
index 9a59daac022fde605418e05595f104fbdb17c374..7ff2b1c307d989cf408949af344922d55b8067cb 100644
--- a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.cpp
+++ b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.cpp
@@ -36,13 +36,15 @@ namespace MoReFEM
                                              elementary_data_type&& a_elementary_data,
                                              const scalar_parameter& youngs_modulus,
                                              const scalar_parameter& poisson_ratio,
-                                             const scalar_parameter& thickness)
+                                             const scalar_parameter& thickness,
+                                             const scalar_parameter& pretension)
         : NonlinearLocalVariationalOperator(a_unknown_storage, a_test_unknown_storage, std::move(a_elementary_data)),
         matrix_parent(),
         vector_parent(),
         youngs_modulus_(youngs_modulus),
         poisson_ratio_(poisson_ratio),
-        thickness_(thickness)
+        thickness_(thickness),
+        pretension_(pretension)
         {
             const auto& elementary_data = GetElementaryData();
             
@@ -75,7 +77,7 @@ namespace MoReFEM
                     { 6, 6 }, // tangent_matrix
                     { 3, 2 }, // displacement_gradient
                     { 3, 2 }, // covariant_basis,
-                   // { 3, 2 }, // contravariant_basis,
+                    { 3, 2 }, // contravariant_basis,
                     { 2, 3 }, // transposed_covariant_basis,
                     { 2, 2 }, // covariant_metric_tensor,
                     { 2, 2 }, // contravariant_metric_tensor,
@@ -83,6 +85,9 @@ namespace MoReFEM
                     { 2, Nnode }, //transposed_dphi
                     { Nnode_test, 2 }, // dphi_test_mult_gradient_based_block
                     { Nnode_test, Nnode }, // block_contribution
+                    { 3, 3 }, // invert_generalized_covariant_basis
+                    { 3, 3 }, // test_pk_in_ref_basis
+                    { 3, 3 }, // test_gl_in_ref_basis
                 }});
             
             vector_parent::InitLocalVectorStorage
@@ -129,7 +134,8 @@ namespace MoReFEM
             
             decltype(auto) youngs_modulus = GetYoungsModulus();
             decltype(auto) poisson_ratio = GetPoissonRatio();
-            decltype(auto) thickness = GetThickness();            
+            decltype(auto) thickness = GetThickness();
+            decltype(auto) pretension = GetPretension();
             
             const auto& geom_elt = elementary_data.GetCurrentGeomElt();
             
@@ -154,10 +160,11 @@ namespace MoReFEM
                 const double youngs_modulus_value = youngs_modulus.GetValue(quad_pt, geom_elt);
                 const double poisson_ratio_value =  poisson_ratio.GetValue(quad_pt, geom_elt);
                 const double thickness_value =      thickness.GetValue(quad_pt, geom_elt);
+                const auto pretension_value =       pretension.GetValue(quad_pt, geom_elt);
                 
                 ComputeContravariantBasis(infos_at_quad_pt, determinant);
                 ComputeDisplacementGradient(infos_at_quad_pt);
-                ComputeGreenLagrange();
+                ComputeGreenLagrange(pretension_value);
                 ComputeTangentTensor(youngs_modulus_value, poisson_ratio_value);
                 ComputeSecondPiolaKirchhoff();
                 ComputeDe();
@@ -169,7 +176,7 @@ namespace MoReFEM
                 
                 const auto& dphi_test = grad_felt_phi_test;
 
-                assert(dphi.GetM() == Nnode);                
+                assert(dphi.GetM() == Nnode);
                 assert(dphi_test.GetM() == Nnode_test);
 
                 if (parent::DoAssembleIntoMatrix())
@@ -227,6 +234,8 @@ namespace MoReFEM
                             }
                         }
                     }
+                    
+//                    std::cout << "matrix_result" << std::endl << matrix_result << std::endl;
                 }
                 
                 const auto int_Nsurface_comp = static_cast<int>(Nsurface_comp);
@@ -264,7 +273,8 @@ namespace MoReFEM
                 }
                 
                 ++quad_pt_index;                
-            } // loop over quadrature points  
+            } // loop over quadrature points
+            
         }
 
 
@@ -304,7 +314,7 @@ namespace MoReFEM
                     }
                 }
             }
-
+//            std::cout << "covariant basis" << std::endl << covariant_basis << std::endl;
 
 
             auto& covariant_metric_tensor = GetLocalMatrix<EnumUnderlyingType(LocalMatrixIndex::covariant_metric_tensor)>();
@@ -319,8 +329,8 @@ namespace MoReFEM
                                                          determinant);
 
             // #1259: Actually never used!!! Only determinant seems relevant.
-            // auto& contravariant_basis = GetLocalMatrix<EnumUnderlyingType(LocalMatrixIndex::contravariant_basis)>();
-//            Seldon::Mlt(1., covariant_basis, contravariant_metric_tensor, contravariant_basis);
+            auto& contravariant_basis = GetLocalMatrix<EnumUnderlyingType(LocalMatrixIndex::contravariant_basis)>();
+            Seldon::Mlt(1., covariant_basis, contravariant_metric_tensor, contravariant_basis);
         }
         
         
@@ -331,13 +341,13 @@ namespace MoReFEM
              displacement_gradient.Zero();
 
              auto& local_displacement = GetFormerLocalDisplacement();
-
-             const auto& dphi_geo = infos_at_quad_pt.GetGradientRefGeometricPhi();
+             
+             const auto& dphi = infos_at_quad_pt.GetGradientRefFEltPhi();
              
              constexpr auto Nsurface_comp = 2ul;
              constexpr auto euclidean_dimension = 3ul;
 
-             const unsigned int Nshape_function = static_cast<unsigned int>(dphi_geo.GetM());
+             const unsigned int Nshape_function = static_cast<unsigned int>(dphi.GetM());
              
              for (unsigned int component_shape_function = 0u; component_shape_function < Nsurface_comp; ++component_shape_function)
              {
@@ -351,20 +361,20 @@ namespace MoReFEM
                      {
                          const int int_coord_index = static_cast<int>(coord_index);
 
-                         const auto local_displacement_index =
-                            euclidean_dimension * shape_fct_index + coord_index;
+//                         const auto local_displacement_index =
+//                            euclidean_dimension * shape_fct_index + coord_index;
+                         const auto local_displacement_index = Nshape_function * coord_index + shape_fct_index;
                          assert(local_displacement_index < local_displacement.size());
 
                          displacement_gradient(int_coord_index, int_component_shape_function)
-                         += local_displacement[local_displacement_index]
-                          * dphi_geo(int_shape_fct_index, int_component_shape_function);
+                         += local_displacement[local_displacement_index] * dphi(int_shape_fct_index, int_component_shape_function);
                      }
                  }
              }
          }
         
         
-        void NonlinearMembrane::ComputeGreenLagrange()
+        void NonlinearMembrane::ComputeGreenLagrange(const double pretension)
         {
             auto& green_lagrange = GetLocalVector<EnumUnderlyingType(LocalVectorIndex::green_lagrange)>();
             const auto& displacement_gradient =
@@ -390,6 +400,18 @@ namespace MoReFEM
                                      disp_grad_1 * cov_basis_0 +
                                      disp_grad_0 * disp_grad_1;
             }
+            
+            //PRETENSION
+            
+            if (pretension != 0.)
+            {
+                const auto& covariant_metric_tensor = GetLocalMatrix<EnumUnderlyingType(LocalMatrixIndex::covariant_metric_tensor)>();
+                green_lagrange(0) += pretension * covariant_metric_tensor(0, 0);
+                green_lagrange(1) += pretension * covariant_metric_tensor(1, 1);
+                green_lagrange(2) += 2 * pretension * covariant_metric_tensor(0, 1);
+                
+            }
+            
         }
         
         
@@ -426,6 +448,8 @@ namespace MoReFEM
             tangent_tensor(1, 0) = tangent_tensor(0, 1);
             tangent_tensor(2, 0) = tangent_tensor(0, 2);
             tangent_tensor(2, 1) = tangent_tensor(1, 2);
+            
+//            std::cout << "tt" << std::endl << tangent_tensor << std::endl;
         }
         
         
@@ -436,6 +460,8 @@ namespace MoReFEM
             const auto& tangent_tensor = GetLocalMatrix<EnumUnderlyingType(LocalMatrixIndex::tangent_tensor)>();
 
             Seldon::Mlt(tangent_tensor, green_lagrange, second_PK);
+            
+//            std::cout << "pk" << std::endl << second_PK << std::endl;
         }
         
         
@@ -466,6 +492,8 @@ namespace MoReFEM
 
             // Transposed
             Wrappers::Seldon::Transpose(De_membrane, transposed_De_membrane);
+            
+//            std::cout << "de" << std::endl << De_membrane << std::endl;
         }
         
         
@@ -501,12 +529,14 @@ namespace MoReFEM
                     tangent_matrix(2 * i, 2 * i + 1) += second_pk_2;
                     tangent_matrix(2 * i + 1, 2 * i) += second_pk_2;
                 }
+//                std::cout << "tm" << std::endl << tangent_matrix << std::endl;
             }
 
             if (parent::DoAssembleIntoVector())
             {
                 rhs_part.Zero();
                 Seldon::Mlt(transposed_De_membrane, second_PK, rhs_part);
+//                std::cout << "rhs_part" << std::endl << rhs_part << std::endl;
             }
         }
         
diff --git a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hpp b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hpp
index 7c9ef4e3923a45a6b3af823e147c52b7e5315a49..0ab382781ed8c6bcc76a7fa39c09f795cf7fba2a 100644
--- a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hpp
+++ b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hpp
@@ -41,7 +41,7 @@ namespace MoReFEM
              */
             class NonlinearMembrane final
             : public NonlinearLocalVariationalOperator<LocalMatrix, LocalVector>,
-            public Crtp::LocalMatrixStorage<NonlinearMembrane, 15ul>,
+            public Crtp::LocalMatrixStorage<NonlinearMembrane, 19ul>,
             public Crtp::LocalVectorStorage<NonlinearMembrane, 3ul>
             {
 
@@ -60,7 +60,7 @@ namespace MoReFEM
                 using scalar_parameter = ScalarParameter<ParameterNS::TimeDependencyNS::None>;
 
                 //! Alias to the parent that provides LocalMatrixStorage.
-                using matrix_parent = Crtp::LocalMatrixStorage<self, 15ul>;
+                using matrix_parent = Crtp::LocalMatrixStorage<self, 19ul>;
 
                 //! Alias to the parent that provides LocalVectorStorage.
                 using vector_parent = Crtp::LocalVectorStorage<self, 3ul>;
@@ -90,7 +90,8 @@ namespace MoReFEM
                                            elementary_data_type&& elementary_data,
                                            const scalar_parameter& youngs_modulus,
                                            const scalar_parameter& poisson_ratio,
-                                           const scalar_parameter& thickness);
+                                           const scalar_parameter& thickness,
+                                           const scalar_parameter& pretension);
 
                 //! Destructor.
                 ~NonlinearMembrane();
@@ -157,7 +158,7 @@ namespace MoReFEM
                 /*!
                  * \brief Compute Green-Lagrange.
                  */
-                void ComputeGreenLagrange();
+                void ComputeGreenLagrange(const double pretension);
 
                 /*!
                  * \brief Compute locally the tangent tensor.
@@ -199,6 +200,8 @@ namespace MoReFEM
                  * \return Thickness of the solid.
                  */
                 const scalar_parameter& GetThickness() const noexcept;
+                
+                const scalar_parameter& GetPretension() const noexcept;
 
             private:
 
@@ -213,6 +216,8 @@ namespace MoReFEM
 
                 //! Thickness.
                 const scalar_parameter& thickness_;
+                
+                const scalar_parameter& pretension_;
 
                 ///@}
 
@@ -234,7 +239,7 @@ namespace MoReFEM
                     tangent_matrix,
                     displacement_gradient,
                     covariant_basis,
-               //     contravariant_basis,
+                    contravariant_basis,
                     transposed_covariant_basis,
                     covariant_metric_tensor,
                     contravariant_metric_tensor,
@@ -242,6 +247,9 @@ namespace MoReFEM
                     transposed_dphi,
                     dphi_test_mult_gradient_based_block,
                     block_contribution,
+                    invert_generalized_covariant_basis,
+                    test_pk_in_ref_basis,
+                    test_gl_in_ref_basis,
 //                    block_matrix1 = 0,
 //                    block_matrix2,
 //                    block_matrix3,
diff --git a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hxx b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hxx
index c55ae77335e4def82e073f6e93217e480a7eec96..70e53296e81dce9cfad5038215302dee296e3fda 100644
--- a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hxx
+++ b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/Local/NonlinearMembrane.hxx
@@ -43,6 +43,12 @@ namespace MoReFEM
         {
             return thickness_;
         }
+        
+        inline const NonlinearMembrane::scalar_parameter&  NonlinearMembrane
+        ::GetPretension() const noexcept
+        {
+            return pretension_;
+        }
 
 
         inline const std::vector<double>&
diff --git a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.cpp b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.cpp
index 4d6c820fd6cc4b181d48c8f3281fadb5c288c1b8..ac590e5ea6e01f35a6c034b02abd9bf59a377cfe 100644
--- a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.cpp
+++ b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.cpp
@@ -26,6 +26,7 @@ namespace MoReFEM
                                              const scalar_parameter& youngs_modulus,
                                              const scalar_parameter& poisson_ratio,
                                              const scalar_parameter& thickness,
+                                             const scalar_parameter& pretension,
                                              const QuadratureRulePerTopology* const quadrature_rule_per_topology)
 
         : parent(felt_space,
@@ -36,7 +37,8 @@ namespace MoReFEM
                  DoComputeProcessorWiseLocal2Global::yes,
                  youngs_modulus,
                  poisson_ratio,
-                 thickness)
+                 thickness,
+                 pretension)
         { }
         
         
diff --git a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.hpp b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.hpp
index 9155293b0f573284a7380cb64690b7b17ddaef3b..ce56f1c86aefcf4a768e8d376b313a12fafdfd4d 100644
--- a/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.hpp
+++ b/Sources/OperatorInstances/VariationalOperator/NonlinearForm/NonlinearMembrane.hpp
@@ -97,6 +97,7 @@ namespace MoReFEM
                                        const scalar_parameter& youngs_modulus,
                                        const scalar_parameter& poisson_ratio,
                                        const scalar_parameter& thickness,
+                                       const scalar_parameter& pretension,
                                        const QuadratureRulePerTopology* const quadrature_rule_per_topology = nullptr);
 
             //! Destructor.