use of artisynth.core.materials.ViscoelasticState in project artisynth_core by artisynth.
the class FemModel3d method advanceAuxState.
public void advanceAuxState(double t0, double t1) {
for (int i = 0; i < myElements.size(); i++) {
FemElement3d e = myElements.get(i);
FemMaterial mat = getElementMaterial(e);
if (mat.getViscoBehavior() != null) {
ViscoelasticBehavior veb = mat.getViscoBehavior();
IntegrationData3d[] idata = e.getIntegrationData();
for (int k = 0; k < idata.length; k++) {
ViscoelasticState state = idata[k].getViscoState();
if (state == null) {
state = veb.createState();
idata[k].setViscoState(state);
}
veb.advanceState(state, t0, t1);
}
}
}
}
use of artisynth.core.materials.ViscoelasticState in project artisynth_core by artisynth.
the class FemModel3d method computeStressAndStiffness.
// DIVBLK
private void computeStressAndStiffness(FemElement3d e, FemMaterial mat, Matrix6d D, IncompMethod softIncomp) {
IntegrationPoint3d[] ipnts = e.getIntegrationPoints();
IntegrationData3d[] idata = e.getIntegrationData();
FemNode3d[] nodes = e.getNodes();
if (D != null) {
D.setZero();
}
SolidDeformation def = new SolidDeformation();
// ===========================================
// linear material optimizations
// ===========================================
// potentially update cached linear material
// internally updates
StiffnessWarper3d warper = e.getStiffnessWarper();
// if there is cached linear material, then apply
if (!warper.isCacheEmpty()) {
// compute warping rotation
warper.computeWarpingRotation(e);
// add force and stiffness
for (int i = 0; i < nodes.length; i++) {
int bi = nodes[i].getSolveIndex();
if (bi != -1) {
FemNode3d n = nodes[i];
if (!myStiffnessesValidP) {
for (int j = 0; j < nodes.length; j++) {
int bj = nodes[j].getSolveIndex();
if (!mySolveMatrixSymmetricP || bj >= bi) {
warper.addNodeStiffness(e.myNbrs[i][j].getK(), i, j);
}
}
}
// add node force
warper.addNodeForce(n.myInternalForce, i, nodes);
}
}
if (myComputeNodalStress || (myComputeNodalStrain && mat.isLinear())) {
// estimate at warping point
RotationMatrix3d R = warper.getRotation();
IntegrationPoint3d wpnt = e.getWarpingPoint();
IntegrationData3d wdata = e.getWarpingData();
wpnt.computeJacobianAndGradient(nodes, wdata.myInvJ0);
def.clear();
def.setF(wpnt.F);
def.setAveragePressure(0);
def.setR(R);
SymmetricMatrix3d sigma = new SymmetricMatrix3d();
SymmetricMatrix3d tmp = new SymmetricMatrix3d();
// compute nodal stress at wpnt
if (myComputeNodalStress) {
// compute linear stress
mat.computeStress(tmp, def, null, null);
sigma.add(tmp);
for (AuxiliaryMaterial amat : e.getAuxiliaryMaterials()) {
amat.computeStress(tmp, def, wpnt, e.getWarpingData(), mat);
sigma.add(tmp);
}
// distribute stress to nodes
for (int i = 0; i < nodes.length; i++) {
nodes[i].addScaledStress(1.0 / nodes[i].numAdjacentElements(), sigma);
}
}
if (myComputeNodalStrain && mat.isLinear()) {
// Cauchy strain at warping point
if (mat.isCorotated()) {
// remove rotation from F
sigma.mulTransposeLeftSymmetric(R, wpnt.F);
} else {
sigma.setSymmetric(wpnt.F);
}
sigma.m00 -= 1;
sigma.m11 -= 1;
sigma.m22 -= 1;
// distribute strain to nodes
for (int i = 0; i < nodes.length; i++) {
nodes[i].addScaledStrain(1.0 / nodes[i].numAdjacentElements(), sigma);
}
}
}
// stress or strain
}
// exit early if no non-linear materials
boolean linearOnly = mat.isLinear();
if (linearOnly) {
for (AuxiliaryMaterial amat : e.getAuxiliaryMaterials()) {
if (!amat.isLinear()) {
linearOnly = false;
break;
}
}
}
if (linearOnly) {
return;
}
// we have some non-linear contributions
// will check this below
e.setInverted(false);
// ===========================================
// non-linear materials
// ===========================================
// temporary stress and tangent
SymmetricMatrix3d sigmaTmp = new SymmetricMatrix3d();
Matrix6d Dtmp = null;
if (D != null) {
Dtmp = new Matrix6d();
}
// viscoelastic behaviour
ViscoelasticBehavior veb = mat.getViscoBehavior();
double vebTangentScale = 1;
if (veb != null) {
vebTangentScale = veb.getTangentScale();
}
// incompressibility
IncompressibleMaterial imat = null;
if (mat.isIncompressible()) {
imat = (IncompressibleMaterial) mat;
}
MatrixBlock[] constraints = null;
SymmetricMatrix3d C = new SymmetricMatrix3d();
// initialize incompressible pressure
double[] pbuf = myPressures.getBuffer();
if (mat.isIncompressible() && softIncomp == IncompMethod.ELEMENT) {
computePressuresAndRinv(e, imat, vebTangentScale);
if (D != null) {
constraints = e.getIncompressConstraints();
for (int i = 0; i < e.myNodes.length; i++) {
constraints[i].setZero();
}
}
}
// cache invertible flag
boolean invertibleMaterials = e.materialsAreInvertible();
// loop through each integration point
for (int k = 0; k < ipnts.length; k++) {
IntegrationPoint3d pt = ipnts[k];
IntegrationData3d dt = idata[k];
double scaling = dt.getScaling();
pt.computeJacobianAndGradient(e.myNodes, idata[k].myInvJ0);
def.clear();
def.setF(pt.F);
def.setAveragePressure(0);
def.setR(null);
double detJ = pt.computeInverseJacobian();
if (detJ < myMinDetJ) {
myMinDetJ = detJ;
myMinDetJElement = e;
}
if (detJ <= 0 && !invertibleMaterials) {
e.setInverted(true);
myNumInverted++;
}
// compute shape function gradient and volume fraction
double dv = detJ * pt.getWeight();
Vector3d[] GNx = pt.updateShapeGradient(pt.myInvJ);
// compute pressure
double pressure = 0;
double[] H = null;
if (mat.isIncompressible()) {
if (softIncomp == IncompMethod.ELEMENT) {
H = pt.getPressureWeights().getBuffer();
int npvals = e.numPressureVals();
for (int l = 0; l < npvals; l++) {
pressure += H[l] * pbuf[l];
}
} else if (softIncomp == IncompMethod.NODAL) {
if (e instanceof TetElement) {
// use the average pressure for all nodes
pressure = 0;
for (int i = 0; i < nodes.length; i++) {
pressure += nodes[i].myPressure;
}
pressure /= nodes.length;
} else if (e.integrationPointsMapToNodes()) {
pressure = nodes[k].myPressure;
} else if (e.integrationPointsInterpolateToNodes()) {
// interpolate using shape function
VectorNd N = pt.getShapeWeights();
pressure = 0;
for (int i = 0; i < N.size(); ++i) {
pressure += nodes[i].myPressure * N.get(i);
}
}
} else if (softIncomp == IncompMethod.FULL) {
pressure = imat.getEffectivePressure(detJ / dt.getDetJ0());
}
}
// anisotropy rotational frame
Matrix3d Q = (dt.myFrame != null ? dt.myFrame : Matrix3d.IDENTITY);
// System.out.println("FEM Pressure: " + pressure);
pt.avgp = pressure;
def.setAveragePressure(pressure);
// clear stress/tangents
pt.sigma.setZero();
if (D != null) {
D.setZero();
}
// base material
if (!mat.isLinear()) {
mat.computeStress(pt.sigma, def, Q, null);
if (scaling != 1) {
pt.sigma.scale(scaling);
}
if (D != null) {
mat.computeTangent(D, pt.sigma, def, Q, null);
if (scaling != 1) {
D.scale(scaling);
}
}
}
// reset pressure to zero for auxiliary materials
pt.avgp = 0;
def.setAveragePressure(0);
if (e.numAuxiliaryMaterials() > 0) {
for (AuxiliaryMaterial amat : e.getAuxiliaryMaterials()) {
// skip linear materials
if (!amat.isLinear()) {
amat.computeStress(sigmaTmp, def, pt, dt, mat);
if (scaling != 1) {
sigmaTmp.scale(scaling);
}
pt.sigma.add(sigmaTmp);
if (D != null) {
amat.computeTangent(Dtmp, sigmaTmp, def, pt, dt, mat);
if (scaling != 1) {
Dtmp.scale(scaling);
}
D.add(Dtmp);
}
}
}
}
// XXX only uses non-linear stress
// bring back pressure term
pt.avgp = pressure;
def.setAveragePressure(pressure);
if (veb != null) {
ViscoelasticState state = idata[k].getViscoState();
if (state == null) {
state = veb.createState();
idata[k].setViscoState(state);
}
veb.computeStress(pt.sigma, state);
if (D != null) {
veb.computeTangent(D, state);
}
} else {
dt.clearState();
}
// sum stress/stiffness contributions to each node
for (int i = 0; i < e.myNodes.length; i++) {
FemNode3d nodei = e.myNodes[i];
int bi = nodei.getSolveIndex();
FemUtilities.addStressForce(nodei.myInternalForce, GNx[i], pt.sigma, dv);
if (D != null) {
double p = 0;
double kp = 0;
if (mat.isIncompressible()) {
if (softIncomp == IncompMethod.ELEMENT) {
FemUtilities.addToIncompressConstraints(constraints[i], H, GNx[i], dv);
p = pressure;
} else if (softIncomp == IncompMethod.FULL) {
double dV = dt.getDetJ0() * pt.getWeight();
kp = imat.getEffectiveModulus(detJ / dt.getDetJ0()) * dV;
p = pressure;
}
}
// compute stiffness
if (bi != -1) {
for (int j = 0; j < e.myNodes.length; j++) {
int bj = e.myNodes[j].getSolveIndex();
if (!mySolveMatrixSymmetricP || bj >= bi) {
e.myNbrs[i][j].addMaterialStiffness(GNx[i], D, GNx[j], dv);
e.myNbrs[i][j].addGeometricStiffness(GNx[i], pt.sigma, GNx[j], dv);
e.myNbrs[i][j].addPressureStiffness(GNx[i], p, GNx[j], dv);
if (kp != 0) {
e.myNbrs[i][j].addDilationalStiffness(vebTangentScale * kp, GNx[i], GNx[j]);
}
}
}
}
}
// if D != null
// nodal stress/strain
double[] nodalExtrapMat = e.getNodalExtrapolationMatrix();
if (nodalExtrapMat != null) {
if (myComputeNodalStress) {
double a = nodalExtrapMat[i * ipnts.length + k];
if (a != 0) {
nodei.addScaledStress(a / nodei.numAdjacentElements(), pt.sigma);
}
}
// if base material non-linear and computing nodal strain
if (myComputeNodalStrain && !mat.isLinear()) {
double a = nodalExtrapMat[i * ipnts.length + k];
if (a != 0) {
def.computeRightCauchyGreen(C);
C.m00 -= 1;
C.m11 -= 1;
C.m22 -= 1;
C.scale(0.5);
nodei.addScaledStrain(a / nodei.numAdjacentElements(), C);
}
}
}
}
// nodal incompressibility constraints
if (D != null && softIncomp == IncompMethod.NODAL && !(e instanceof TetElement)) {
if (e.integrationPointsMapToNodes()) {
for (FemNodeNeighbor nbr : getNodeNeighbors(e.myNodes[k])) {
int j = e.getLocalNodeIndex(nbr.myNode);
if (j != -1) {
// myNodalConstraints[i].scale(dv, GNx[i]);
nbr.myDivBlk.scaledAdd(dv, GNx[j]);
}
}
} else if (e.integrationPointsInterpolateToNodes()) {
// distribute according to shape function weights
VectorNd N = pt.getShapeWeights();
for (int i = 0; i < N.size(); ++i) {
for (FemNodeNeighbor nbr : getNodeNeighbors(e.myNodes[i])) {
int j = e.getLocalNodeIndex(nbr.getNode());
if (j != -1) {
nbr.myDivBlk.scaledAdd(N.get(i) * dv, GNx[j]);
}
}
}
}
}
// soft incompressibility
}
// tet nodal incompressibility
if (D != null && mat.isIncompressible() && softIncomp == IncompMethod.NODAL) {
if (e instanceof TetElement) {
((TetElement) e).getAreaWeightedNormals(myNodalConstraints);
for (int i = 0; i < 4; i++) {
myNodalConstraints[i].scale(-1 / 12.0);
}
for (int i = 0; i < e.numNodes(); ++i) {
for (FemNodeNeighbor nbr : getNodeNeighbors(e.myNodes[i])) {
int j = e.getLocalNodeIndex(nbr.myNode);
if (j != -1) {
nbr.myDivBlk.scaledAdd(1, myNodalConstraints[j]);
}
}
}
}
}
// element-wise incompressibility constraints
if (D != null) {
if (mat.isIncompressible() && softIncomp == IncompMethod.ELEMENT) {
boolean kpIsNonzero = false;
int npvals = e.numPressureVals();
for (int l = 0; l < npvals; l++) {
double Jpartial = e.myVolumes[l] / e.myRestVolumes[l];
myKp[l] = imat.getEffectiveModulus(Jpartial) / e.myRestVolumes[l];
if (myKp[l] != 0) {
kpIsNonzero = true;
}
}
// double kp = imat.getEffectiveModulus(vol/restVol)/restVol;
if (true) {
for (int i = 0; i < e.myNodes.length; i++) {
int bi = e.myNodes[i].getSolveIndex();
if (bi != -1) {
for (int j = 0; j < e.myNodes.length; j++) {
int bj = e.myNodes[j].getSolveIndex();
if (!mySolveMatrixSymmetricP || bj >= bi) {
e.myNbrs[i][j].addDilationalStiffness(myRinv, constraints[i], constraints[j]);
}
// end filling in symmetric
}
// end filling in dilatational stiffness
}
// end checking if valid index
}
// end looping through nodes
}
// XXX ALWAYS??
}
// end soft elem incompress
}
// end checking if computing tangent
}
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