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TriangleFEMForceField

Triangular finite elements for static topology.

Vec3d

Templates:

  • Vec3d

Target: Sofa.Component.SolidMechanics.FEM.Elastic

namespace: sofa::component::solidmechanics::fem::elastic

parents:

  • BaseLinearElasticityFEMForceField

Data

Name Description Default value
name object name unnamed
printLog if true, emits extra messages at runtime. 0
tags list of the subsets the objet belongs to
bbox this object bounding box
componentState The state of the component among (Dirty, Valid, Undefined, Loading, Invalid). Undefined
listening if true, handle the events, otherwise ignore the events 0
rayleighStiffness Rayleigh damping - stiffness matrix coefficient 0
poissonRatio FEM Poisson Ratio in Hooke's law [0,0.5[ 0.45
youngModulus FEM Young's Modulus in Hooke's law 5000
initialPoints Initial Position
method large: large displacements, small: small displacements large
thickness Thickness of the elements 1
planeStrain Plane strain or plane stress assumption 0
Name Description Destination type name
context Graph Node containing this object (or BaseContext::getDefault() if no graph is used) BaseContext
slaves Sub-objects used internally by this object BaseObject
master nullptr for regular objects, or master object for which this object is one sub-objects BaseObject
mechanicalStates List of mechanical states to which this component is associated BaseMechanicalState
mstate MechanicalState used by this component MechanicalState<Vec3d>
topology link to the topology container BaseMeshTopology

Examples

TriangleFEMForceField.scn

<?xml version="1.0" ?>
<!-- Mechanical MassSpring Group Basic Example -->
<Node name="root" gravity="0 0 1" dt="0.05">
    <RequiredPlugin name="Sofa.Component.Collision.Detection.Algorithm"/> <!-- Needed to use components [BVHNarrowPhase BruteForceBroadPhase CollisionPipeline] -->
    <RequiredPlugin name="Sofa.Component.Collision.Detection.Intersection"/> <!-- Needed to use components [DiscreteIntersection] -->
    <RequiredPlugin name="Sofa.Component.Collision.Geometry"/> <!-- Needed to use components [TriangleCollisionModel] -->
    <RequiredPlugin name="Sofa.Component.Collision.Response.Contact"/> <!-- Needed to use components [CollisionResponse] -->
    <RequiredPlugin name="Sofa.Component.Constraint.Projective"/> <!-- Needed to use components [FixedProjectiveConstraint] -->
    <RequiredPlugin name="Sofa.Component.LinearSolver.Iterative"/> <!-- Needed to use components [CGLinearSolver] -->
    <RequiredPlugin name="Sofa.Component.Mapping.Linear"/> <!-- Needed to use components [IdentityMapping] -->
    <RequiredPlugin name="Sofa.Component.Mass"/> <!-- Needed to use components [UniformMass] -->
    <RequiredPlugin name="Sofa.Component.ODESolver.Backward"/> <!-- Needed to use components [EulerImplicitSolver] -->
    <RequiredPlugin name="Sofa.Component.SolidMechanics.FEM.Elastic"/> <!-- Needed to use components [TriangleFEMForceField] -->
    <RequiredPlugin name="Sofa.Component.StateContainer"/> <!-- Needed to use components [MechanicalObject] -->
    <RequiredPlugin name="Sofa.Component.Topology.Container.Grid"/> <!-- Needed to use components [RegularGridTopology] -->
    <RequiredPlugin name="Sofa.Component.Visual"/> <!-- Needed to use components [VisualStyle] -->
    <RequiredPlugin name="Sofa.GL.Component.Rendering3D"/> <!-- Needed to use components [OglModel] -->
    <VisualStyle displayFlags="showBehaviorModels showForceFields showCollisionModels showMappings showVisual" />
    <CollisionPipeline verbose="0" name="CollisionPipeline" />
    <BruteForceBroadPhase/>
    <BVHNarrowPhase/>
    <CollisionResponse response="PenalityContactForceField" name="collision response" />
    <DiscreteIntersection />
    <DefaultAnimationLoop/>

    <Node name="M1">
        <EulerImplicitSolver name="cg_odesolver" printLog="false"  rayleighStiffness="0.1" rayleighMass="0.1" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
        <MechanicalObject />
        <UniformMass vertexMass="0.1" />
        <RegularGridTopology nx="3" ny="3" nz="1" xmin="10" xmax="19" ymin="0" ymax="9" zmin="4" zmax="5" />
        <FixedProjectiveConstraint indices="0 8" />
        <TriangleFEMForceField name="FEM1" youngModulus="5000" poissonRatio="0.3" method="large" />
        <TriangleCollisionModel />
        <Node name="Visu">
            <OglModel name="Visual" color="green" />
            <IdentityMapping input="@.." output="@Visual" />
        </Node>
    </Node>
    <Node name="M2">
        <EulerImplicitSolver name="cg_odesolver" printLog="false" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
        <MechanicalObject />
        <UniformMass vertexMass="0.1" />
        <RegularGridTopology nx="4" ny="4" nz="1" xmin="20" xmax="29" ymin="0" ymax="9" zmin="8" zmax="9" />
        <FixedProjectiveConstraint indices="0 15" />
        <TriangleFEMForceField name="FEM2" youngModulus="5000" poissonRatio="0.3" method="large" />
        <TriangleCollisionModel />
        <Node name="Visu">
            <OglModel name="Visual" color="blue" />
            <IdentityMapping input="@.." output="@Visual" />
        </Node>
    </Node>
    <Node name="M3">
        <EulerImplicitSolver name="cg_odesolver" printLog="false" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
        <MechanicalObject />
        <UniformMass vertexMass="0.1" />
        <RegularGridTopology nx="10" ny="10" nz="1" xmin="30" xmax="39" ymin="0" ymax="9" zmin="12" zmax="13" />
        <FixedProjectiveConstraint indices="0 9 99" />
        <TriangleFEMForceField name="FEM3" youngModulus="50000" poissonRatio="0.3" method="large" />
        <TriangleCollisionModel />
        <Node name="Visu">
            <OglModel name="Visual" color="yellow" />
            <IdentityMapping input="@.." output="@Visual" />
        </Node>
    </Node>
</Node>
def createScene(root_node):

   root = root_node.addChild('root', gravity="0 0 1", dt="0.05")

   root.addObject('RequiredPlugin', name="Sofa.Component.Collision.Detection.Algorithm")
   root.addObject('RequiredPlugin', name="Sofa.Component.Collision.Detection.Intersection")
   root.addObject('RequiredPlugin', name="Sofa.Component.Collision.Geometry")
   root.addObject('RequiredPlugin', name="Sofa.Component.Collision.Response.Contact")
   root.addObject('RequiredPlugin', name="Sofa.Component.Constraint.Projective")
   root.addObject('RequiredPlugin', name="Sofa.Component.LinearSolver.Iterative")
   root.addObject('RequiredPlugin', name="Sofa.Component.Mapping.Linear")
   root.addObject('RequiredPlugin', name="Sofa.Component.Mass")
   root.addObject('RequiredPlugin', name="Sofa.Component.ODESolver.Backward")
   root.addObject('RequiredPlugin', name="Sofa.Component.SolidMechanics.FEM.Elastic")
   root.addObject('RequiredPlugin', name="Sofa.Component.StateContainer")
   root.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Grid")
   root.addObject('RequiredPlugin', name="Sofa.Component.Visual")
   root.addObject('RequiredPlugin', name="Sofa.GL.Component.Rendering3D")
   root.addObject('VisualStyle', displayFlags="showBehaviorModels showForceFields showCollisionModels showMappings showVisual")
   root.addObject('CollisionPipeline', verbose="0", name="CollisionPipeline")
   root.addObject('BruteForceBroadPhase', )
   root.addObject('BVHNarrowPhase', )
   root.addObject('CollisionResponse', response="PenalityContactForceField", name="collision response")
   root.addObject('DiscreteIntersection', )
   root.addObject('DefaultAnimationLoop', )

   m1 = root.addChild('M1')

   m1.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   m1.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   m1.addObject('MechanicalObject', )
   m1.addObject('UniformMass', vertexMass="0.1")
   m1.addObject('RegularGridTopology', nx="3", ny="3", nz="1", xmin="10", xmax="19", ymin="0", ymax="9", zmin="4", zmax="5")
   m1.addObject('FixedProjectiveConstraint', indices="0 8")
   m1.addObject('TriangleFEMForceField', name="FEM1", youngModulus="5000", poissonRatio="0.3", method="large")
   m1.addObject('TriangleCollisionModel', )

   visu = M1.addChild('Visu')

   visu.addObject('OglModel', name="Visual", color="green")
   visu.addObject('IdentityMapping', input="@..", output="@Visual")

   m2 = root.addChild('M2')

   m2.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   m2.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   m2.addObject('MechanicalObject', )
   m2.addObject('UniformMass', vertexMass="0.1")
   m2.addObject('RegularGridTopology', nx="4", ny="4", nz="1", xmin="20", xmax="29", ymin="0", ymax="9", zmin="8", zmax="9")
   m2.addObject('FixedProjectiveConstraint', indices="0 15")
   m2.addObject('TriangleFEMForceField', name="FEM2", youngModulus="5000", poissonRatio="0.3", method="large")
   m2.addObject('TriangleCollisionModel', )

   visu = M2.addChild('Visu')

   visu.addObject('OglModel', name="Visual", color="blue")
   visu.addObject('IdentityMapping', input="@..", output="@Visual")

   m3 = root.addChild('M3')

   m3.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   m3.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   m3.addObject('MechanicalObject', )
   m3.addObject('UniformMass', vertexMass="0.1")
   m3.addObject('RegularGridTopology', nx="10", ny="10", nz="1", xmin="30", xmax="39", ymin="0", ymax="9", zmin="12", zmax="13")
   m3.addObject('FixedProjectiveConstraint', indices="0 9 99")
   m3.addObject('TriangleFEMForceField', name="FEM3", youngModulus="50000", poissonRatio="0.3", method="large")
   m3.addObject('TriangleCollisionModel', )

   visu = M3.addChild('Visu')

   visu.addObject('OglModel', name="Visual", color="yellow")
   visu.addObject('IdentityMapping', input="@..", output="@Visual")

TriangleFEMForceField_compare.scn

<?xml version="1.0" ?>
<Node name="root" dt="0.01" gravity="0 10 0">
    <RequiredPlugin name="Sofa.Component.Constraint.Projective"/> <!-- Needed to use components [FixedProjectiveConstraint] -->
    <RequiredPlugin name="Sofa.Component.LinearSolver.Iterative"/> <!-- Needed to use components [CGLinearSolver] -->
    <RequiredPlugin name="Sofa.Component.Mapping.Linear"/> <!-- Needed to use components [IdentityMapping] -->
    <RequiredPlugin name="Sofa.Component.Mass"/> <!-- Needed to use components [DiagonalMass] -->
    <RequiredPlugin name="Sofa.Component.ODESolver.Backward"/> <!-- Needed to use components [EulerImplicitSolver] -->
    <RequiredPlugin name="Sofa.Component.SolidMechanics.FEM.Elastic"/> <!-- Needed to use components [TriangleFEMForceField TriangularFEMForceField TriangularFEMForceFieldOptim] -->
    <RequiredPlugin name="Sofa.Component.StateContainer"/> <!-- Needed to use components [MechanicalObject] -->
    <RequiredPlugin name="Sofa.Component.Topology.Container.Dynamic"/> <!-- Needed to use components [QuadSetGeometryAlgorithms QuadSetTopologyContainer QuadSetTopologyModifier TriangleSetGeometryAlgorithms TriangleSetTopologyContainer TriangleSetTopologyModifier] -->
    <RequiredPlugin name="Sofa.Component.Topology.Container.Grid"/> <!-- Needed to use components [RegularGridTopology] -->
    <RequiredPlugin name="Sofa.Component.Topology.Mapping"/> <!-- Needed to use components [Quad2TriangleTopologicalMapping] -->
    <RequiredPlugin name="Sofa.Component.Visual"/> <!-- Needed to use components [VisualStyle] -->
    <RequiredPlugin name="Sofa.GL.Component.Rendering3D"/> <!-- Needed to use components [OglModel] -->
    <DefaultAnimationLoop/>


    <VisualStyle displayFlags="showBehaviorModels showVisual" />

    <RegularGridTopology name="grid" n="40 1 40" min="0 0 0" max="10 0 10" />

    <Node name="TriangularFEMForceField">
        <EulerImplicitSolver name="cg_odesolver" printLog="false"  rayleighStiffness="0.1" rayleighMass="0.1" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />

        <QuadSetTopologyContainer name="Quad_topo" src="@../grid" />
        <QuadSetTopologyModifier name="Modifier" />
        <QuadSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

        <MechanicalObject name="TriangularFEMForceField_dof" />
        <DiagonalMass totalMass="1.0" />
        <FixedProjectiveConstraint indices="0 39" />

        <Node name="T">
            <TriangleSetTopologyContainer name="Triangle_topo" />
            <TriangleSetTopologyModifier name="Modifier" />
            <TriangleSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

            <Quad2TriangleTopologicalMapping name="TriangularFEMForceField_mapTopo" input="@../Quad_topo" output="@Triangle_topo" />
            <TriangularFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.3" method="large" />

            <Node name="Visu">
                <OglModel name="TriangularFEMForceField_visu" color="red" />
                <IdentityMapping name="TriangularFEMForceField_mapping" input="@../.." output="@." />
            </Node>
        </Node>

    </Node>


    <Node name="TriangularFEMForceFieldOptim">
        <EulerImplicitSolver name="cg_odesolver" printLog="false"  rayleighStiffness="0.1" rayleighMass="0.1" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />

        <QuadSetTopologyContainer name="Quad_topo" src="@../grid" />
        <QuadSetTopologyModifier name="Modifier" />
        <QuadSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

        <MechanicalObject name="TriangularFEMForceFieldOptim_dof" />
        <DiagonalMass totalMass="1.0" />
        <FixedProjectiveConstraint indices="0 39" />

        <Node name="T">
            <TriangleSetTopologyContainer name="Triangle_topo" />
            <TriangleSetTopologyModifier name="Modifier" />
            <TriangleSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

            <Quad2TriangleTopologicalMapping name="TriangularFEMForceFieldOptim_mapTopo" input="@../Quad_topo" output="@Triangle_topo" />
            <TriangularFEMForceFieldOptim name="FEM" youngModulus="1000" poissonRatio="0.3" method="large" />

            <Node name="Visu">
                <OglModel name="TriangularFEMForceFieldOptim_visu" color="blue" />
                <IdentityMapping name="TriangularFEMForceFieldOptim_mapping" input="@../.." output="@." />
            </Node>
        </Node>

    </Node>


    <Node name="TriangleFEMForceField">
        <EulerImplicitSolver name="cg_odesolver" printLog="false"  rayleighStiffness="0.1" rayleighMass="0.1" />
        <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />

        <QuadSetTopologyContainer name="Quad_topo" src="@../grid" />
        <QuadSetTopologyModifier name="Modifier" />
        <QuadSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

        <MechanicalObject name="TriangleFEMForceField_dof" />
        <DiagonalMass totalMass="1.0" />
        <FixedProjectiveConstraint indices="0 39" />

        <Node name="T">
            <TriangleSetTopologyContainer name="Triangle_topo" />
            <TriangleSetTopologyModifier name="Modifier" />
            <TriangleSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />

            <Quad2TriangleTopologicalMapping name="TriangleFEMForceField_mapTopo" input="@../Quad_topo" output="@Triangle_topo" />
            <TriangleFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.3" method="large" />

            <Node name="Visu">
                <OglModel name="TriangleFEMForceField_visu" color="green" />
                <IdentityMapping name="TriangleFEMForceField_mapping" input="@../.." output="@." />
            </Node>
        </Node>

    </Node>

</Node>
def createScene(root_node):

   root = root_node.addChild('root', dt="0.01", gravity="0 10 0")

   root.addObject('RequiredPlugin', name="Sofa.Component.Constraint.Projective")
   root.addObject('RequiredPlugin', name="Sofa.Component.LinearSolver.Iterative")
   root.addObject('RequiredPlugin', name="Sofa.Component.Mapping.Linear")
   root.addObject('RequiredPlugin', name="Sofa.Component.Mass")
   root.addObject('RequiredPlugin', name="Sofa.Component.ODESolver.Backward")
   root.addObject('RequiredPlugin', name="Sofa.Component.SolidMechanics.FEM.Elastic")
   root.addObject('RequiredPlugin', name="Sofa.Component.StateContainer")
   root.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Dynamic")
   root.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Grid")
   root.addObject('RequiredPlugin', name="Sofa.Component.Topology.Mapping")
   root.addObject('RequiredPlugin', name="Sofa.Component.Visual")
   root.addObject('RequiredPlugin', name="Sofa.GL.Component.Rendering3D")
   root.addObject('DefaultAnimationLoop', )
   root.addObject('VisualStyle', displayFlags="showBehaviorModels showVisual")
   root.addObject('RegularGridTopology', name="grid", n="40 1 40", min="0 0 0", max="10 0 10")

   triangular_fem_force_field = root.addChild('TriangularFEMForceField')

   triangular_fem_force_field.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   triangular_fem_force_field.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   triangular_fem_force_field.addObject('QuadSetTopologyContainer', name="Quad_topo", src="@../grid")
   triangular_fem_force_field.addObject('QuadSetTopologyModifier', name="Modifier")
   triangular_fem_force_field.addObject('QuadSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   triangular_fem_force_field.addObject('MechanicalObject', name="TriangularFEMForceField_dof")
   triangular_fem_force_field.addObject('DiagonalMass', totalMass="1.0")
   triangular_fem_force_field.addObject('FixedProjectiveConstraint', indices="0 39")

   t = TriangularFEMForceField.addChild('T')

   t.addObject('TriangleSetTopologyContainer', name="Triangle_topo")
   t.addObject('TriangleSetTopologyModifier', name="Modifier")
   t.addObject('TriangleSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   t.addObject('Quad2TriangleTopologicalMapping', name="TriangularFEMForceField_mapTopo", input="@../Quad_topo", output="@Triangle_topo")
   t.addObject('TriangularFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.3", method="large")

   visu = T.addChild('Visu')

   visu.addObject('OglModel', name="TriangularFEMForceField_visu", color="red")
   visu.addObject('IdentityMapping', name="TriangularFEMForceField_mapping", input="@../..", output="@.")

   triangular_fem_force_field_optim = root.addChild('TriangularFEMForceFieldOptim')

   triangular_fem_force_field_optim.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   triangular_fem_force_field_optim.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   triangular_fem_force_field_optim.addObject('QuadSetTopologyContainer', name="Quad_topo", src="@../grid")
   triangular_fem_force_field_optim.addObject('QuadSetTopologyModifier', name="Modifier")
   triangular_fem_force_field_optim.addObject('QuadSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   triangular_fem_force_field_optim.addObject('MechanicalObject', name="TriangularFEMForceFieldOptim_dof")
   triangular_fem_force_field_optim.addObject('DiagonalMass', totalMass="1.0")
   triangular_fem_force_field_optim.addObject('FixedProjectiveConstraint', indices="0 39")

   t = TriangularFEMForceFieldOptim.addChild('T')

   t.addObject('TriangleSetTopologyContainer', name="Triangle_topo")
   t.addObject('TriangleSetTopologyModifier', name="Modifier")
   t.addObject('TriangleSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   t.addObject('Quad2TriangleTopologicalMapping', name="TriangularFEMForceFieldOptim_mapTopo", input="@../Quad_topo", output="@Triangle_topo")
   t.addObject('TriangularFEMForceFieldOptim', name="FEM", youngModulus="1000", poissonRatio="0.3", method="large")

   visu = T.addChild('Visu')

   visu.addObject('OglModel', name="TriangularFEMForceFieldOptim_visu", color="blue")
   visu.addObject('IdentityMapping', name="TriangularFEMForceFieldOptim_mapping", input="@../..", output="@.")

   triangle_fem_force_field = root.addChild('TriangleFEMForceField')

   triangle_fem_force_field.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   triangle_fem_force_field.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   triangle_fem_force_field.addObject('QuadSetTopologyContainer', name="Quad_topo", src="@../grid")
   triangle_fem_force_field.addObject('QuadSetTopologyModifier', name="Modifier")
   triangle_fem_force_field.addObject('QuadSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   triangle_fem_force_field.addObject('MechanicalObject', name="TriangleFEMForceField_dof")
   triangle_fem_force_field.addObject('DiagonalMass', totalMass="1.0")
   triangle_fem_force_field.addObject('FixedProjectiveConstraint', indices="0 39")

   t = TriangleFEMForceField.addChild('T')

   t.addObject('TriangleSetTopologyContainer', name="Triangle_topo")
   t.addObject('TriangleSetTopologyModifier', name="Modifier")
   t.addObject('TriangleSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   t.addObject('Quad2TriangleTopologicalMapping', name="TriangleFEMForceField_mapTopo", input="@../Quad_topo", output="@Triangle_topo")
   t.addObject('TriangleFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.3", method="large")

   visu = T.addChild('Visu')

   visu.addObject('OglModel', name="TriangleFEMForceField_visu", color="green")
   visu.addObject('IdentityMapping', name="TriangleFEMForceField_mapping", input="@../..", output="@.")