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TetrahedralTensorMassForceField

Linear Elastic Tetrahedral Mesh

Vec3d

Templates:

  • Vec3d

Target: Sofa.Component.SolidMechanics.TensorMass

namespace: sofa::component::solidmechanics::tensormass

parents:

  • ForceField

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 Poisson ratio in Hooke's law 0.3
youngModulus Young's modulus in Hooke's law 1000
edgeInfo Internal edge data
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

TetrahedralTensorMassForceField.scn

<Node name="root">
    <Node name="plugins">
        <RequiredPlugin name="Sofa.Component.Constraint.Projective"/> <!-- Needed to use components [FixedProjectiveConstraint] -->
        <RequiredPlugin name="Sofa.Component.Engine.Select"/> <!-- Needed to use components [BoxROI] -->
        <RequiredPlugin name="Sofa.Component.LinearSolver.Direct"/> <!-- Needed to use components [EigenSimplicialLDLT] -->
        <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.TensorMass"/> <!-- Needed to use components [TetrahedralTensorMassForceField] -->
        <RequiredPlugin name="Sofa.Component.StateContainer"/> <!-- Needed to use components [MechanicalObject] -->
        <RequiredPlugin name="Sofa.Component.Topology.Container.Dynamic"/> <!-- Needed to use components [QuadSetGeometryAlgorithms QuadSetTopologyContainer QuadSetTopologyModifier TetrahedronSetGeometryAlgorithms TetrahedronSetTopologyContainer TetrahedronSetTopologyModifier] -->
        <RequiredPlugin name="Sofa.Component.Topology.Container.Grid"/> <!-- Needed to use components [RegularGridTopology] -->
        <RequiredPlugin name="Sofa.Component.Topology.Mapping"/> <!-- Needed to use components [Hexa2QuadTopologicalMapping Hexa2TetraTopologicalMapping] -->
        <RequiredPlugin name="Sofa.Component.Visual"/> <!-- Needed to use components [VisualStyle] -->
        <RequiredPlugin name="Sofa.GL.Component.Rendering3D"/> <!-- Needed to use components [OglModel] -->
    </Node>

    <VisualStyle displayFlags="showBehaviorModels showForceFields" />

    <DefaultAnimationLoop name="animationLoop"/>
    <DefaultVisualManagerLoop name="visualLoop"/>

    <EulerImplicitSolver name="odesolver" rayleighStiffness="0.1" rayleighMass="0.1" />
    <EigenSimplicialLDLT template="CompressedRowSparseMatrixMat3x3"/>
    <MechanicalObject name="DoFs" />
    <UniformMass name="mass" totalMass="320" />
    <RegularGridTopology name="grid" nx="4" ny="4" nz="20" xmin="-9" xmax="-6" ymin="0" ymax="3" zmin="0" zmax="19" />
    <BoxROI name="box" box="-10 -1 -0.0001  -5 4 0.0001"/>
    <FixedProjectiveConstraint indices="@box.indices" />

    <TetrahedronSetTopologyContainer name="Tetra_topo"/>
    <TetrahedronSetTopologyModifier name="Modifier" />
    <TetrahedronSetGeometryAlgorithms template="Vec3" name="GeomAlgo" />
    <Hexa2TetraTopologicalMapping input="@grid" output="@Tetra_topo" />
    <TetrahedralTensorMassForceField name="deformable" youngModulus="100000" poissonRatio="0.4" />

    <Node name="quads">
        <QuadSetTopologyContainer  name="Container" />
        <QuadSetTopologyModifier   name="Modifier" />
        <QuadSetGeometryAlgorithms name="GeomAlgo" template="Vec3" />
        <Hexa2QuadTopologicalMapping input="@../grid" output="@Container" />
        <Node name="Visu">
            <OglModel name="Visual" color="yellow" />
            <IdentityMapping input="@../../DoFs" output="@Visual" />
        </Node>
    </Node>
</Node>
def createScene(root_node):

   root = root_node.addChild('root')

   plugins = root.addChild('plugins')

   plugins.addObject('RequiredPlugin', name="Sofa.Component.Constraint.Projective")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Engine.Select")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.LinearSolver.Direct")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Mapping.Linear")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Mass")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.ODESolver.Backward")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.SolidMechanics.TensorMass")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.StateContainer")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Dynamic")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Grid")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Topology.Mapping")
   plugins.addObject('RequiredPlugin', name="Sofa.Component.Visual")
   plugins.addObject('RequiredPlugin', name="Sofa.GL.Component.Rendering3D")

   root.addObject('VisualStyle', displayFlags="showBehaviorModels showForceFields")
   root.addObject('DefaultAnimationLoop', name="animationLoop")
   root.addObject('DefaultVisualManagerLoop', name="visualLoop")
   root.addObject('EulerImplicitSolver', name="odesolver", rayleighStiffness="0.1", rayleighMass="0.1")
   root.addObject('EigenSimplicialLDLT', template="CompressedRowSparseMatrixMat3x3")
   root.addObject('MechanicalObject', name="DoFs")
   root.addObject('UniformMass', name="mass", totalMass="320")
   root.addObject('RegularGridTopology', name="grid", nx="4", ny="4", nz="20", xmin="-9", xmax="-6", ymin="0", ymax="3", zmin="0", zmax="19")
   root.addObject('BoxROI', name="box", box="-10 -1 -0.0001  -5 4 0.0001")
   root.addObject('FixedProjectiveConstraint', indices="@box.indices")
   root.addObject('TetrahedronSetTopologyContainer', name="Tetra_topo")
   root.addObject('TetrahedronSetTopologyModifier', name="Modifier")
   root.addObject('TetrahedronSetGeometryAlgorithms', template="Vec3", name="GeomAlgo")
   root.addObject('Hexa2TetraTopologicalMapping', input="@grid", output="@Tetra_topo")
   root.addObject('TetrahedralTensorMassForceField', name="deformable", youngModulus="100000", poissonRatio="0.4")

   quads = root.addChild('quads')

   quads.addObject('QuadSetTopologyContainer', name="Container")
   quads.addObject('QuadSetTopologyModifier', name="Modifier")
   quads.addObject('QuadSetGeometryAlgorithms', name="GeomAlgo", template="Vec3")
   quads.addObject('Hexa2QuadTopologicalMapping', input="@../grid", output="@Container")

   visu = quads.addChild('Visu')

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

TetrahedralTensorMassForceFieldCUDA.scn

<Node name="root" dt="0.01">
    <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 [NewProximityIntersection] -->
    <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.IO.Mesh"/> <!-- Needed to use components [MeshGmshLoader MeshOBJLoader] -->
    <RequiredPlugin name="Sofa.Component.LinearSolver.Iterative"/> <!-- Needed to use components [CGLinearSolver] -->
    <RequiredPlugin name="Sofa.Component.Mapping.Linear"/> <!-- Needed to use components [BarycentricMapping] -->
    <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 [TetrahedronFEMForceField] -->
    <RequiredPlugin name="Sofa.Component.StateContainer"/> <!-- Needed to use components [MechanicalObject] -->
    <RequiredPlugin name="Sofa.Component.Topology.Container.Constant"/> <!-- Needed to use components [MeshTopology] -->
    <RequiredPlugin name="Sofa.GL.Component.Rendering3D"/> <!-- Needed to use components [OglModel] -->
    <RequiredPlugin name="SofaCUDA"/> <!-- Needed to use components [BarycentricMapping MechanicalObject TetrahedralTensorMassForceField UniformMass] -->
    <CollisionPipeline depth="6" verbose="0" draw="0" />
    <BruteForceBroadPhase/>
    <BVHNarrowPhase/>
    <NewProximityIntersection name="Proximity" alarmDistance="0.3" contactDistance="0.2" />
    <CollisionResponse name="Response" response="PenalityContactForceField" />
    <Node name="ChainFEM">
        <Node name="TorusFixed">
            <MeshOBJLoader name="loader" filename="mesh/torus2_for_collision.obj" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" />
            <TriangleCollisionModel simulated="0" moving="0" />
            <MeshOBJLoader name="meshLoader_2" filename="mesh/torus2.obj" handleSeams="1" />
            <OglModel name="Visual" src="@meshLoader_2" color="gray" />
        </Node>
        <Node name="TorusTensorMass">
            <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" />
            <MeshGmshLoader name="loader" filename="mesh/torus_low_res.msh" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="2.5" template="CudaVec3f" />
            <UniformMass totalMass="5" />
            <TetrahedralTensorMassForceField name="FEM" youngModulus="1000" poissonRatio="0.4"  atomicGPU="false" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_0" filename="mesh/torus.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_0" color="red" dx="2.5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="2.5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
        <Node name="TorusFEM_POLAR">
            <EulerImplicitSolver name="cg_odesolver" printLog="false" />
            <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
            <MeshGmshLoader name="loader" filename="mesh/torus2_low_res.msh" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="5" />
            <UniformMass totalMass="5" />
            <TetrahedronFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.4" computeGlobalMatrix="false" method="polar" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_1" filename="mesh/torus2.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_1" color="blue" dx="5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus2_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
        <Node name="TorusFEM_SVD">
            <EulerImplicitSolver name="cg_odesolver" printLog="false" />
            <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
            <MeshGmshLoader name="loader" filename="mesh/torus_low_res.msh" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="7.5" />
            <UniformMass totalMass="5" />
            <TetrahedronFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.4" computeGlobalMatrix="false" method="svd" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_3" filename="mesh/torus.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_3" color="yellow" dx="7.5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="7.5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
    </Node>
</Node>
def createScene(root_node):

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

   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.IO.Mesh")
   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.Constant")
   root.addObject('RequiredPlugin', name="Sofa.GL.Component.Rendering3D")
   root.addObject('RequiredPlugin', name="SofaCUDA")
   root.addObject('CollisionPipeline', depth="6", verbose="0", draw="0")
   root.addObject('BruteForceBroadPhase', )
   root.addObject('BVHNarrowPhase', )
   root.addObject('NewProximityIntersection', name="Proximity", alarmDistance="0.3", contactDistance="0.2")
   root.addObject('CollisionResponse', name="Response", response="PenalityContactForceField")

   chain_fem = root.addChild('ChainFEM')

   torus_fixed = ChainFEM.addChild('TorusFixed')

   torus_fixed.addObject('MeshOBJLoader', name="loader", filename="mesh/torus2_for_collision.obj")
   torus_fixed.addObject('MeshTopology', src="@loader")
   torus_fixed.addObject('MechanicalObject', src="@loader")
   torus_fixed.addObject('TriangleCollisionModel', simulated="0", moving="0")
   torus_fixed.addObject('MeshOBJLoader', name="meshLoader_2", filename="mesh/torus2.obj", handleSeams="1")
   torus_fixed.addObject('OglModel', name="Visual", src="@meshLoader_2", color="gray")

   torus_tensor_mass = ChainFEM.addChild('TorusTensorMass')

   torus_tensor_mass.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   torus_tensor_mass.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_tensor_mass.addObject('MeshGmshLoader', name="loader", filename="mesh/torus_low_res.msh")
   torus_tensor_mass.addObject('MeshTopology', src="@loader")
   torus_tensor_mass.addObject('MechanicalObject', src="@loader", dx="2.5", template="CudaVec3f")
   torus_tensor_mass.addObject('UniformMass', totalMass="5")
   torus_tensor_mass.addObject('TetrahedralTensorMassForceField', name="FEM", youngModulus="1000", poissonRatio="0.4", atomicGPU="false")

   visu = TorusTensorMass.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_0", filename="mesh/torus.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_0", color="red", dx="2.5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusTensorMass.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="2.5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )

   torus_fem__polar = ChainFEM.addChild('TorusFEM_POLAR')

   torus_fem__polar.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   torus_fem__polar.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_fem__polar.addObject('MeshGmshLoader', name="loader", filename="mesh/torus2_low_res.msh")
   torus_fem__polar.addObject('MeshTopology', src="@loader")
   torus_fem__polar.addObject('MechanicalObject', src="@loader", dx="5")
   torus_fem__polar.addObject('UniformMass', totalMass="5")
   torus_fem__polar.addObject('TetrahedronFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.4", computeGlobalMatrix="false", method="polar")

   visu = TorusFEM_POLAR.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_1", filename="mesh/torus2.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_1", color="blue", dx="5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusFEM_POLAR.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus2_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )

   torus_fem__svd = ChainFEM.addChild('TorusFEM_SVD')

   torus_fem__svd.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   torus_fem__svd.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_fem__svd.addObject('MeshGmshLoader', name="loader", filename="mesh/torus_low_res.msh")
   torus_fem__svd.addObject('MeshTopology', src="@loader")
   torus_fem__svd.addObject('MechanicalObject', src="@loader", dx="7.5")
   torus_fem__svd.addObject('UniformMass', totalMass="5")
   torus_fem__svd.addObject('TetrahedronFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.4", computeGlobalMatrix="false", method="svd")

   visu = TorusFEM_SVD.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_3", filename="mesh/torus.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_3", color="yellow", dx="7.5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusFEM_SVD.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="7.5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )

TetrahedralTensorMassForceFieldCPU.scn

<Node name="root" dt="0.01">
    <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 [NewProximityIntersection] -->
    <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.IO.Mesh"/> <!-- Needed to use components [MeshGmshLoader MeshOBJLoader] -->
    <RequiredPlugin name="Sofa.Component.LinearSolver.Iterative"/> <!-- Needed to use components [CGLinearSolver] -->
    <RequiredPlugin name="Sofa.Component.Mapping.Linear"/> <!-- Needed to use components [BarycentricMapping] -->
    <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 [TetrahedronFEMForceField] -->
    <RequiredPlugin name="Sofa.Component.SolidMechanics.TensorMass"/> <!-- Needed to use components [TetrahedralTensorMassForceField] -->
    <RequiredPlugin name="Sofa.Component.StateContainer"/> <!-- Needed to use components [MechanicalObject] -->
    <RequiredPlugin name="Sofa.Component.Topology.Container.Constant"/> <!-- Needed to use components [MeshTopology] -->
    <RequiredPlugin name="Sofa.GL.Component.Rendering3D"/> <!-- Needed to use components [OglModel] -->
    <CollisionPipeline depth="6" verbose="0" draw="0" />
    <BruteForceBroadPhase/>
    <BVHNarrowPhase/>
    <NewProximityIntersection name="Proximity" alarmDistance="0.3" contactDistance="0.2" />
    <CollisionResponse name="Response" response="PenalityContactForceField" />
    <Node name="ChainFEM">
        <Node name="TorusFixed">
            <MeshOBJLoader name="loader" filename="mesh/torus2_for_collision.obj" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" />
            <TriangleCollisionModel simulated="0" moving="0" />
            <MeshOBJLoader name="meshLoader_3" filename="mesh/torus2.obj" handleSeams="1" />
            <OglModel name="Visual" src="@meshLoader_3" color="gray" />
        </Node>
        <Node name="TorusTensorMass">
            <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" />
            <MeshGmshLoader name="loader" filename="mesh/torus_low_res.msh" createSubelements="true"/>
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="2.5" template="Vec3d" />
            <UniformMass totalMass="5" />
            <TetrahedralTensorMassForceField name="FEM" youngModulus="1000" poissonRatio="0.4" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_0" filename="mesh/torus.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_0" color="red" dx="2.5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="2.5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
        <Node name="TorusFEM_POLAR">
            <EulerImplicitSolver name="cg_odesolver" printLog="false" />
            <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
            <MeshGmshLoader name="loader" filename="mesh/torus2_low_res.msh" createSubelements="true"/>
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="5" />
            <UniformMass totalMass="5" />
            <TetrahedronFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.4" computeGlobalMatrix="false" method="polar" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_2" filename="mesh/torus2.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_2" color="blue" dx="5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus2_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
        <Node name="TorusFEM_SVD">
            <EulerImplicitSolver name="cg_odesolver" printLog="false" />
            <CGLinearSolver iterations="25" name="linear solver" tolerance="1.0e-9" threshold="1.0e-9" />
            <MeshGmshLoader name="loader" filename="mesh/torus_low_res.msh" createSubelements="true" />
            <MeshTopology src="@loader" />
            <MechanicalObject src="@loader" dx="7.5" />
            <UniformMass totalMass="5" />
            <TetrahedronFEMForceField name="FEM" youngModulus="1000" poissonRatio="0.4" computeGlobalMatrix="false" method="svd" />
            <Node name="Visu">
                <MeshOBJLoader name="meshLoader_1" filename="mesh/torus.obj" handleSeams="1" />
                <OglModel name="Visual" src="@meshLoader_1" color="yellow" dx="7.5" />
                <BarycentricMapping input="@.." output="@Visual" />
            </Node>
            <Node name="Surf2">
                <MeshOBJLoader name="loader" filename="mesh/torus_for_collision.obj" />
                <MeshTopology src="@loader" />
                <MechanicalObject src="@loader" dx="7.5" />
                <TriangleCollisionModel />
                <BarycentricMapping />
            </Node>
        </Node>
    </Node>
</Node>
def createScene(root_node):

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

   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.IO.Mesh")
   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.SolidMechanics.TensorMass")
   root.addObject('RequiredPlugin', name="Sofa.Component.StateContainer")
   root.addObject('RequiredPlugin', name="Sofa.Component.Topology.Container.Constant")
   root.addObject('RequiredPlugin', name="Sofa.GL.Component.Rendering3D")
   root.addObject('CollisionPipeline', depth="6", verbose="0", draw="0")
   root.addObject('BruteForceBroadPhase', )
   root.addObject('BVHNarrowPhase', )
   root.addObject('NewProximityIntersection', name="Proximity", alarmDistance="0.3", contactDistance="0.2")
   root.addObject('CollisionResponse', name="Response", response="PenalityContactForceField")

   chain_fem = root.addChild('ChainFEM')

   torus_fixed = ChainFEM.addChild('TorusFixed')

   torus_fixed.addObject('MeshOBJLoader', name="loader", filename="mesh/torus2_for_collision.obj")
   torus_fixed.addObject('MeshTopology', src="@loader")
   torus_fixed.addObject('MechanicalObject', src="@loader")
   torus_fixed.addObject('TriangleCollisionModel', simulated="0", moving="0")
   torus_fixed.addObject('MeshOBJLoader', name="meshLoader_3", filename="mesh/torus2.obj", handleSeams="1")
   torus_fixed.addObject('OglModel', name="Visual", src="@meshLoader_3", color="gray")

   torus_tensor_mass = ChainFEM.addChild('TorusTensorMass')

   torus_tensor_mass.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false", rayleighStiffness="0.1", rayleighMass="0.1")
   torus_tensor_mass.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_tensor_mass.addObject('MeshGmshLoader', name="loader", filename="mesh/torus_low_res.msh", createSubelements="true")
   torus_tensor_mass.addObject('MeshTopology', src="@loader")
   torus_tensor_mass.addObject('MechanicalObject', src="@loader", dx="2.5", template="Vec3d")
   torus_tensor_mass.addObject('UniformMass', totalMass="5")
   torus_tensor_mass.addObject('TetrahedralTensorMassForceField', name="FEM", youngModulus="1000", poissonRatio="0.4")

   visu = TorusTensorMass.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_0", filename="mesh/torus.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_0", color="red", dx="2.5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusTensorMass.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="2.5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )

   torus_fem__polar = ChainFEM.addChild('TorusFEM_POLAR')

   torus_fem__polar.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   torus_fem__polar.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_fem__polar.addObject('MeshGmshLoader', name="loader", filename="mesh/torus2_low_res.msh", createSubelements="true")
   torus_fem__polar.addObject('MeshTopology', src="@loader")
   torus_fem__polar.addObject('MechanicalObject', src="@loader", dx="5")
   torus_fem__polar.addObject('UniformMass', totalMass="5")
   torus_fem__polar.addObject('TetrahedronFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.4", computeGlobalMatrix="false", method="polar")

   visu = TorusFEM_POLAR.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_2", filename="mesh/torus2.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_2", color="blue", dx="5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusFEM_POLAR.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus2_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )

   torus_fem__svd = ChainFEM.addChild('TorusFEM_SVD')

   torus_fem__svd.addObject('EulerImplicitSolver', name="cg_odesolver", printLog="false")
   torus_fem__svd.addObject('CGLinearSolver', iterations="25", name="linear solver", tolerance="1.0e-9", threshold="1.0e-9")
   torus_fem__svd.addObject('MeshGmshLoader', name="loader", filename="mesh/torus_low_res.msh", createSubelements="true")
   torus_fem__svd.addObject('MeshTopology', src="@loader")
   torus_fem__svd.addObject('MechanicalObject', src="@loader", dx="7.5")
   torus_fem__svd.addObject('UniformMass', totalMass="5")
   torus_fem__svd.addObject('TetrahedronFEMForceField', name="FEM", youngModulus="1000", poissonRatio="0.4", computeGlobalMatrix="false", method="svd")

   visu = TorusFEM_SVD.addChild('Visu')

   visu.addObject('MeshOBJLoader', name="meshLoader_1", filename="mesh/torus.obj", handleSeams="1")
   visu.addObject('OglModel', name="Visual", src="@meshLoader_1", color="yellow", dx="7.5")
   visu.addObject('BarycentricMapping', input="@..", output="@Visual")

   surf2 = TorusFEM_SVD.addChild('Surf2')

   surf2.addObject('MeshOBJLoader', name="loader", filename="mesh/torus_for_collision.obj")
   surf2.addObject('MeshTopology', src="@loader")
   surf2.addObject('MechanicalObject', src="@loader", dx="7.5")
   surf2.addObject('TriangleCollisionModel', )
   surf2.addObject('BarycentricMapping', )