diff options
author | Rémi Verschelde <rverschelde@gmail.com> | 2020-12-17 13:51:12 +0100 |
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committer | Rémi Verschelde <rverschelde@gmail.com> | 2020-12-18 13:41:11 +0100 |
commit | 3cbf8bde8455f98f9b447237ebfe578aca397574 (patch) | |
tree | 175f1f5daee4928a8f78d4d5853d7da99902e940 /thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h | |
parent | 214a22b98e5d74a9b49346d5021641db6a9899cf (diff) |
bullet: Sync with upstream 3.07
Diffstat (limited to 'thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h')
-rw-r--r-- | thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h | 703 |
1 files changed, 351 insertions, 352 deletions
diff --git a/thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h b/thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h index d89bc4aca4..60798c5bcd 100644 --- a/thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h +++ b/thirdparty/bullet/BulletSoftBody/btDeformableNeoHookeanForce.h @@ -23,30 +23,30 @@ subject to the following restrictions: class btDeformableNeoHookeanForce : public btDeformableLagrangianForce { public: - typedef btAlignedObjectArray<btVector3> TVStack; - btScalar m_mu, m_lambda; // Lame Parameters - btScalar m_E, m_nu; // Young's modulus and Poisson ratio - btScalar m_mu_damp, m_lambda_damp; - btDeformableNeoHookeanForce(): m_mu(1), m_lambda(1) - { - btScalar damping = 0.05; - m_mu_damp = damping * m_mu; - m_lambda_damp = damping * m_lambda; + typedef btAlignedObjectArray<btVector3> TVStack; + btScalar m_mu, m_lambda; // Lame Parameters + btScalar m_E, m_nu; // Young's modulus and Poisson ratio + btScalar m_mu_damp, m_lambda_damp; + btDeformableNeoHookeanForce() : m_mu(1), m_lambda(1) + { + btScalar damping = 0.05; + m_mu_damp = damping * m_mu; + m_lambda_damp = damping * m_lambda; updateYoungsModulusAndPoissonRatio(); - } - - btDeformableNeoHookeanForce(btScalar mu, btScalar lambda, btScalar damping = 0.05): m_mu(mu), m_lambda(lambda) - { - m_mu_damp = damping * m_mu; - m_lambda_damp = damping * m_lambda; + } + + btDeformableNeoHookeanForce(btScalar mu, btScalar lambda, btScalar damping = 0.05) : m_mu(mu), m_lambda(lambda) + { + m_mu_damp = damping * m_mu; + m_lambda_damp = damping * m_lambda; updateYoungsModulusAndPoissonRatio(); - } + } void updateYoungsModulusAndPoissonRatio() { // conversion from Lame Parameters to Young's modulus and Poisson ratio // https://en.wikipedia.org/wiki/Lam%C3%A9_parameters - m_E = m_mu * (3*m_lambda + 2*m_mu)/(m_lambda + m_mu); + m_E = m_mu * (3 * m_lambda + 2 * m_mu) / (m_lambda + m_mu); m_nu = m_lambda * 0.5 / (m_mu + m_lambda); } @@ -55,21 +55,21 @@ public: // conversion from Young's modulus and Poisson ratio to Lame Parameters // https://en.wikipedia.org/wiki/Lam%C3%A9_parameters m_mu = m_E * 0.5 / (1 + m_nu); - m_lambda = m_E * m_nu / ((1 + m_nu) * (1- 2*m_nu)); + m_lambda = m_E * m_nu / ((1 + m_nu) * (1 - 2 * m_nu)); } - void setYoungsModulus(btScalar E) - { + void setYoungsModulus(btScalar E) + { m_E = E; updateLameParameters(); - } + } void setPoissonRatio(btScalar nu) { m_nu = nu; updateLameParameters(); } - + void setDamping(btScalar damping) { m_mu_damp = damping * m_mu; @@ -83,339 +83,338 @@ public: updateYoungsModulusAndPoissonRatio(); } - virtual void addScaledForces(btScalar scale, TVStack& force) - { - addScaledDampingForce(scale, force); - addScaledElasticForce(scale, force); - } - - virtual void addScaledExplicitForce(btScalar scale, TVStack& force) - { - addScaledElasticForce(scale, force); - } - - // The damping matrix is calculated using the time n state as described in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search - virtual void addScaledDampingForce(btScalar scale, TVStack& force) - { - if (m_mu_damp == 0 && m_lambda_damp == 0) - return; - int numNodes = getNumNodes(); - btAssert(numNodes <= force.size()); - btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1); - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - for (int j = 0; j < psb->m_tetras.size(); ++j) - { - btSoftBody::Tetra& tetra = psb->m_tetras[j]; - btSoftBody::Node* node0 = tetra.m_n[0]; - btSoftBody::Node* node1 = tetra.m_n[1]; - btSoftBody::Node* node2 = tetra.m_n[2]; - btSoftBody::Node* node3 = tetra.m_n[3]; - size_t id0 = node0->index; - size_t id1 = node1->index; - size_t id2 = node2->index; - size_t id3 = node3->index; - btMatrix3x3 dF = DsFromVelocity(node0, node1, node2, node3) * tetra.m_Dm_inverse; - btMatrix3x3 I; - I.setIdentity(); - btMatrix3x3 dP = (dF + dF.transpose()) * m_mu_damp + I * (dF[0][0]+dF[1][1]+dF[2][2]) * m_lambda_damp; -// firstPiolaDampingDifferential(psb->m_tetraScratchesTn[j], dF, dP); - btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); - btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); + virtual void addScaledForces(btScalar scale, TVStack& force) + { + addScaledDampingForce(scale, force); + addScaledElasticForce(scale, force); + } + + virtual void addScaledExplicitForce(btScalar scale, TVStack& force) + { + addScaledElasticForce(scale, force); + } + + // The damping matrix is calculated using the time n state as described in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search + virtual void addScaledDampingForce(btScalar scale, TVStack& force) + { + if (m_mu_damp == 0 && m_lambda_damp == 0) + return; + int numNodes = getNumNodes(); + btAssert(numNodes <= force.size()); + btVector3 grad_N_hat_1st_col = btVector3(-1, -1, -1); + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + for (int j = 0; j < psb->m_tetras.size(); ++j) + { + btSoftBody::Tetra& tetra = psb->m_tetras[j]; + btSoftBody::Node* node0 = tetra.m_n[0]; + btSoftBody::Node* node1 = tetra.m_n[1]; + btSoftBody::Node* node2 = tetra.m_n[2]; + btSoftBody::Node* node3 = tetra.m_n[3]; + size_t id0 = node0->index; + size_t id1 = node1->index; + size_t id2 = node2->index; + size_t id3 = node3->index; + btMatrix3x3 dF = DsFromVelocity(node0, node1, node2, node3) * tetra.m_Dm_inverse; + btMatrix3x3 I; + I.setIdentity(); + btMatrix3x3 dP = (dF + dF.transpose()) * m_mu_damp + I * (dF[0][0] + dF[1][1] + dF[2][2]) * m_lambda_damp; + // firstPiolaDampingDifferential(psb->m_tetraScratchesTn[j], dF, dP); + btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose() * grad_N_hat_1st_col); + btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); + + // damping force differential + btScalar scale1 = scale * tetra.m_element_measure; + force[id0] -= scale1 * df_on_node0; + force[id1] -= scale1 * df_on_node123.getColumn(0); + force[id2] -= scale1 * df_on_node123.getColumn(1); + force[id3] -= scale1 * df_on_node123.getColumn(2); + } + } + } + + virtual double totalElasticEnergy(btScalar dt) + { + double energy = 0; + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + for (int j = 0; j < psb->m_tetraScratches.size(); ++j) + { + btSoftBody::Tetra& tetra = psb->m_tetras[j]; + btSoftBody::TetraScratch& s = psb->m_tetraScratches[j]; + energy += tetra.m_element_measure * elasticEnergyDensity(s); + } + } + return energy; + } + + // The damping energy is formulated as in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search + virtual double totalDampingEnergy(btScalar dt) + { + double energy = 0; + int sz = 0; + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + for (int j = 0; j < psb->m_nodes.size(); ++j) + { + sz = btMax(sz, psb->m_nodes[j].index); + } + } + TVStack dampingForce; + dampingForce.resize(sz + 1); + for (int i = 0; i < dampingForce.size(); ++i) + dampingForce[i].setZero(); + addScaledDampingForce(0.5, dampingForce); + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + for (int j = 0; j < psb->m_nodes.size(); ++j) + { + const btSoftBody::Node& node = psb->m_nodes[j]; + energy -= dampingForce[node.index].dot(node.m_v) / dt; + } + } + return energy; + } + + double elasticEnergyDensity(const btSoftBody::TetraScratch& s) + { + double density = 0; + density += m_mu * 0.5 * (s.m_trace - 3.); + density += m_lambda * 0.5 * (s.m_J - 1. - 0.75 * m_mu / m_lambda) * (s.m_J - 1. - 0.75 * m_mu / m_lambda); + density -= m_mu * 0.5 * log(s.m_trace + 1); + return density; + } - // damping force differential - btScalar scale1 = scale * tetra.m_element_measure; - force[id0] -= scale1 * df_on_node0; - force[id1] -= scale1 * df_on_node123.getColumn(0); - force[id2] -= scale1 * df_on_node123.getColumn(1); - force[id3] -= scale1 * df_on_node123.getColumn(2); - } - } - } - - virtual double totalElasticEnergy(btScalar dt) - { - double energy = 0; - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - for (int j = 0; j < psb->m_tetraScratches.size(); ++j) - { - btSoftBody::Tetra& tetra = psb->m_tetras[j]; - btSoftBody::TetraScratch& s = psb->m_tetraScratches[j]; - energy += tetra.m_element_measure * elasticEnergyDensity(s); - } - } - return energy; - } - - // The damping energy is formulated as in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search - virtual double totalDampingEnergy(btScalar dt) - { - double energy = 0; - int sz = 0; - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - for (int j = 0; j < psb->m_nodes.size(); ++j) - { - sz = btMax(sz, psb->m_nodes[j].index); - } - } - TVStack dampingForce; - dampingForce.resize(sz+1); - for (int i = 0; i < dampingForce.size(); ++i) - dampingForce[i].setZero(); - addScaledDampingForce(0.5, dampingForce); - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - for (int j = 0; j < psb->m_nodes.size(); ++j) - { - const btSoftBody::Node& node = psb->m_nodes[j]; - energy -= dampingForce[node.index].dot(node.m_v) / dt; - } - } - return energy; - } - - double elasticEnergyDensity(const btSoftBody::TetraScratch& s) - { - double density = 0; - density += m_mu * 0.5 * (s.m_trace - 3.); - density += m_lambda * 0.5 * (s.m_J - 1. - 0.75 * m_mu / m_lambda)* (s.m_J - 1. - 0.75 * m_mu / m_lambda); - density -= m_mu * 0.5 * log(s.m_trace+1); - return density; - } - - virtual void addScaledElasticForce(btScalar scale, TVStack& force) - { - int numNodes = getNumNodes(); - btAssert(numNodes <= force.size()); - btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1); - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - btScalar max_p = psb->m_cfg.m_maxStress; - for (int j = 0; j < psb->m_tetras.size(); ++j) - { - btSoftBody::Tetra& tetra = psb->m_tetras[j]; - btMatrix3x3 P; - firstPiola(psb->m_tetraScratches[j],P); + virtual void addScaledElasticForce(btScalar scale, TVStack& force) + { + int numNodes = getNumNodes(); + btAssert(numNodes <= force.size()); + btVector3 grad_N_hat_1st_col = btVector3(-1, -1, -1); + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + btScalar max_p = psb->m_cfg.m_maxStress; + for (int j = 0; j < psb->m_tetras.size(); ++j) + { + btSoftBody::Tetra& tetra = psb->m_tetras[j]; + btMatrix3x3 P; + firstPiola(psb->m_tetraScratches[j], P); #ifdef USE_SVD - if (max_p > 0) - { - // since we want to clamp the principal stress to max_p, we only need to - // calculate SVD when sigma_0^2 + sigma_1^2 + sigma_2^2 > max_p * max_p - btScalar trPTP = (P[0].length2() + P[1].length2() + P[2].length2()); - if (trPTP > max_p * max_p) - { - btMatrix3x3 U, V; - btVector3 sigma; - singularValueDecomposition(P, U, sigma, V); - sigma[0] = btMin(sigma[0], max_p); - sigma[1] = btMin(sigma[1], max_p); - sigma[2] = btMin(sigma[2], max_p); - sigma[0] = btMax(sigma[0], -max_p); - sigma[1] = btMax(sigma[1], -max_p); - sigma[2] = btMax(sigma[2], -max_p); - btMatrix3x3 Sigma; - Sigma.setIdentity(); - Sigma[0][0] = sigma[0]; - Sigma[1][1] = sigma[1]; - Sigma[2][2] = sigma[2]; - P = U * Sigma * V.transpose(); - } - } + if (max_p > 0) + { + // since we want to clamp the principal stress to max_p, we only need to + // calculate SVD when sigma_0^2 + sigma_1^2 + sigma_2^2 > max_p * max_p + btScalar trPTP = (P[0].length2() + P[1].length2() + P[2].length2()); + if (trPTP > max_p * max_p) + { + btMatrix3x3 U, V; + btVector3 sigma; + singularValueDecomposition(P, U, sigma, V); + sigma[0] = btMin(sigma[0], max_p); + sigma[1] = btMin(sigma[1], max_p); + sigma[2] = btMin(sigma[2], max_p); + sigma[0] = btMax(sigma[0], -max_p); + sigma[1] = btMax(sigma[1], -max_p); + sigma[2] = btMax(sigma[2], -max_p); + btMatrix3x3 Sigma; + Sigma.setIdentity(); + Sigma[0][0] = sigma[0]; + Sigma[1][1] = sigma[1]; + Sigma[2][2] = sigma[2]; + P = U * Sigma * V.transpose(); + } + } #endif -// btVector3 force_on_node0 = P * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); - btMatrix3x3 force_on_node123 = P * tetra.m_Dm_inverse.transpose(); - btVector3 force_on_node0 = force_on_node123 * grad_N_hat_1st_col; - - btSoftBody::Node* node0 = tetra.m_n[0]; - btSoftBody::Node* node1 = tetra.m_n[1]; - btSoftBody::Node* node2 = tetra.m_n[2]; - btSoftBody::Node* node3 = tetra.m_n[3]; - size_t id0 = node0->index; - size_t id1 = node1->index; - size_t id2 = node2->index; - size_t id3 = node3->index; - - // elastic force - btScalar scale1 = scale * tetra.m_element_measure; - force[id0] -= scale1 * force_on_node0; - force[id1] -= scale1 * force_on_node123.getColumn(0); - force[id2] -= scale1 * force_on_node123.getColumn(1); - force[id3] -= scale1 * force_on_node123.getColumn(2); - } - } - } - - // The damping matrix is calculated using the time n state as described in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search - virtual void addScaledDampingForceDifferential(btScalar scale, const TVStack& dv, TVStack& df) - { - if (m_mu_damp == 0 && m_lambda_damp == 0) - return; - int numNodes = getNumNodes(); - btAssert(numNodes <= df.size()); - btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1); - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - for (int j = 0; j < psb->m_tetras.size(); ++j) - { - btSoftBody::Tetra& tetra = psb->m_tetras[j]; - btSoftBody::Node* node0 = tetra.m_n[0]; - btSoftBody::Node* node1 = tetra.m_n[1]; - btSoftBody::Node* node2 = tetra.m_n[2]; - btSoftBody::Node* node3 = tetra.m_n[3]; - size_t id0 = node0->index; - size_t id1 = node1->index; - size_t id2 = node2->index; - size_t id3 = node3->index; - btMatrix3x3 dF = Ds(id0, id1, id2, id3, dv) * tetra.m_Dm_inverse; - btMatrix3x3 I; - I.setIdentity(); - btMatrix3x3 dP = (dF + dF.transpose()) * m_mu_damp + I * (dF[0][0]+dF[1][1]+dF[2][2]) * m_lambda_damp; -// firstPiolaDampingDifferential(psb->m_tetraScratchesTn[j], dF, dP); -// btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); - btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); - btVector3 df_on_node0 = df_on_node123 * grad_N_hat_1st_col; + // btVector3 force_on_node0 = P * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); + btMatrix3x3 force_on_node123 = P * tetra.m_Dm_inverse.transpose(); + btVector3 force_on_node0 = force_on_node123 * grad_N_hat_1st_col; + + btSoftBody::Node* node0 = tetra.m_n[0]; + btSoftBody::Node* node1 = tetra.m_n[1]; + btSoftBody::Node* node2 = tetra.m_n[2]; + btSoftBody::Node* node3 = tetra.m_n[3]; + size_t id0 = node0->index; + size_t id1 = node1->index; + size_t id2 = node2->index; + size_t id3 = node3->index; + + // elastic force + btScalar scale1 = scale * tetra.m_element_measure; + force[id0] -= scale1 * force_on_node0; + force[id1] -= scale1 * force_on_node123.getColumn(0); + force[id2] -= scale1 * force_on_node123.getColumn(1); + force[id3] -= scale1 * force_on_node123.getColumn(2); + } + } + } + + // The damping matrix is calculated using the time n state as described in https://www.math.ucla.edu/~jteran/papers/GSSJT15.pdf to allow line search + virtual void addScaledDampingForceDifferential(btScalar scale, const TVStack& dv, TVStack& df) + { + if (m_mu_damp == 0 && m_lambda_damp == 0) + return; + int numNodes = getNumNodes(); + btAssert(numNodes <= df.size()); + btVector3 grad_N_hat_1st_col = btVector3(-1, -1, -1); + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + for (int j = 0; j < psb->m_tetras.size(); ++j) + { + btSoftBody::Tetra& tetra = psb->m_tetras[j]; + btSoftBody::Node* node0 = tetra.m_n[0]; + btSoftBody::Node* node1 = tetra.m_n[1]; + btSoftBody::Node* node2 = tetra.m_n[2]; + btSoftBody::Node* node3 = tetra.m_n[3]; + size_t id0 = node0->index; + size_t id1 = node1->index; + size_t id2 = node2->index; + size_t id3 = node3->index; + btMatrix3x3 dF = Ds(id0, id1, id2, id3, dv) * tetra.m_Dm_inverse; + btMatrix3x3 I; + I.setIdentity(); + btMatrix3x3 dP = (dF + dF.transpose()) * m_mu_damp + I * (dF[0][0] + dF[1][1] + dF[2][2]) * m_lambda_damp; + // firstPiolaDampingDifferential(psb->m_tetraScratchesTn[j], dF, dP); + // btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); + btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); + btVector3 df_on_node0 = df_on_node123 * grad_N_hat_1st_col; + + // damping force differential + btScalar scale1 = scale * tetra.m_element_measure; + df[id0] -= scale1 * df_on_node0; + df[id1] -= scale1 * df_on_node123.getColumn(0); + df[id2] -= scale1 * df_on_node123.getColumn(1); + df[id3] -= scale1 * df_on_node123.getColumn(2); + } + } + } + + virtual void buildDampingForceDifferentialDiagonal(btScalar scale, TVStack& diagA) {} + + virtual void addScaledElasticForceDifferential(btScalar scale, const TVStack& dx, TVStack& df) + { + int numNodes = getNumNodes(); + btAssert(numNodes <= df.size()); + btVector3 grad_N_hat_1st_col = btVector3(-1, -1, -1); + for (int i = 0; i < m_softBodies.size(); ++i) + { + btSoftBody* psb = m_softBodies[i]; + if (!psb->isActive()) + { + continue; + } + for (int j = 0; j < psb->m_tetras.size(); ++j) + { + btSoftBody::Tetra& tetra = psb->m_tetras[j]; + btSoftBody::Node* node0 = tetra.m_n[0]; + btSoftBody::Node* node1 = tetra.m_n[1]; + btSoftBody::Node* node2 = tetra.m_n[2]; + btSoftBody::Node* node3 = tetra.m_n[3]; + size_t id0 = node0->index; + size_t id1 = node1->index; + size_t id2 = node2->index; + size_t id3 = node3->index; + btMatrix3x3 dF = Ds(id0, id1, id2, id3, dx) * tetra.m_Dm_inverse; + btMatrix3x3 dP; + firstPiolaDifferential(psb->m_tetraScratches[j], dF, dP); + // btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); + btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); + btVector3 df_on_node0 = df_on_node123 * grad_N_hat_1st_col; + + // elastic force differential + btScalar scale1 = scale * tetra.m_element_measure; + df[id0] -= scale1 * df_on_node0; + df[id1] -= scale1 * df_on_node123.getColumn(0); + df[id2] -= scale1 * df_on_node123.getColumn(1); + df[id3] -= scale1 * df_on_node123.getColumn(2); + } + } + } + + void firstPiola(const btSoftBody::TetraScratch& s, btMatrix3x3& P) + { + btScalar c1 = (m_mu * (1. - 1. / (s.m_trace + 1.))); + btScalar c2 = (m_lambda * (s.m_J - 1.) - 0.75 * m_mu); + P = s.m_F * c1 + s.m_cofF * c2; + } + + // Let P be the first piola stress. + // This function calculates the dP = dP/dF * dF + void firstPiolaDifferential(const btSoftBody::TetraScratch& s, const btMatrix3x3& dF, btMatrix3x3& dP) + { + btScalar c1 = m_mu * (1. - 1. / (s.m_trace + 1.)); + btScalar c2 = (2. * m_mu) * DotProduct(s.m_F, dF) * (1. / ((1. + s.m_trace) * (1. + s.m_trace))); + btScalar c3 = (m_lambda * DotProduct(s.m_cofF, dF)); + dP = dF * c1 + s.m_F * c2; + addScaledCofactorMatrixDifferential(s.m_F, dF, m_lambda * (s.m_J - 1.) - 0.75 * m_mu, dP); + dP += s.m_cofF * c3; + } - // damping force differential - btScalar scale1 = scale * tetra.m_element_measure; - df[id0] -= scale1 * df_on_node0; - df[id1] -= scale1 * df_on_node123.getColumn(0); - df[id2] -= scale1 * df_on_node123.getColumn(1); - df[id3] -= scale1 * df_on_node123.getColumn(2); - } - } - } - - virtual void buildDampingForceDifferentialDiagonal(btScalar scale, TVStack& diagA){} - - virtual void addScaledElasticForceDifferential(btScalar scale, const TVStack& dx, TVStack& df) - { - int numNodes = getNumNodes(); - btAssert(numNodes <= df.size()); - btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1); - for (int i = 0; i < m_softBodies.size(); ++i) - { - btSoftBody* psb = m_softBodies[i]; - if (!psb->isActive()) - { - continue; - } - for (int j = 0; j < psb->m_tetras.size(); ++j) - { - btSoftBody::Tetra& tetra = psb->m_tetras[j]; - btSoftBody::Node* node0 = tetra.m_n[0]; - btSoftBody::Node* node1 = tetra.m_n[1]; - btSoftBody::Node* node2 = tetra.m_n[2]; - btSoftBody::Node* node3 = tetra.m_n[3]; - size_t id0 = node0->index; - size_t id1 = node1->index; - size_t id2 = node2->index; - size_t id3 = node3->index; - btMatrix3x3 dF = Ds(id0, id1, id2, id3, dx) * tetra.m_Dm_inverse; - btMatrix3x3 dP; - firstPiolaDifferential(psb->m_tetraScratches[j], dF, dP); -// btVector3 df_on_node0 = dP * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col); - btMatrix3x3 df_on_node123 = dP * tetra.m_Dm_inverse.transpose(); - btVector3 df_on_node0 = df_on_node123 * grad_N_hat_1st_col; - - // elastic force differential - btScalar scale1 = scale * tetra.m_element_measure; - df[id0] -= scale1 * df_on_node0; - df[id1] -= scale1 * df_on_node123.getColumn(0); - df[id2] -= scale1 * df_on_node123.getColumn(1); - df[id3] -= scale1 * df_on_node123.getColumn(2); - } - } - } - - void firstPiola(const btSoftBody::TetraScratch& s, btMatrix3x3& P) - { - btScalar c1 = (m_mu * ( 1. - 1. / (s.m_trace + 1.))); - btScalar c2 = (m_lambda * (s.m_J - 1.) - 0.75 * m_mu); - P = s.m_F * c1 + s.m_cofF * c2; - } - - // Let P be the first piola stress. - // This function calculates the dP = dP/dF * dF - void firstPiolaDifferential(const btSoftBody::TetraScratch& s, const btMatrix3x3& dF, btMatrix3x3& dP) - { - btScalar c1 = m_mu * ( 1. - 1. / (s.m_trace + 1.)); - btScalar c2 = (2.*m_mu) * DotProduct(s.m_F, dF) * (1./((1.+s.m_trace)*(1.+s.m_trace))); - btScalar c3 = (m_lambda * DotProduct(s.m_cofF, dF)); - dP = dF * c1 + s.m_F * c2; - addScaledCofactorMatrixDifferential(s.m_F, dF, m_lambda*(s.m_J-1.) - 0.75*m_mu, dP); - dP += s.m_cofF * c3; - } - - // Let Q be the damping stress. - // This function calculates the dP = dQ/dF * dF - void firstPiolaDampingDifferential(const btSoftBody::TetraScratch& s, const btMatrix3x3& dF, btMatrix3x3& dP) - { - btScalar c1 = (m_mu_damp * ( 1. - 1. / (s.m_trace + 1.))); - btScalar c2 = ((2.*m_mu_damp) * DotProduct(s.m_F, dF) *(1./((1.+s.m_trace)*(1.+s.m_trace)))); - btScalar c3 = (m_lambda_damp * DotProduct(s.m_cofF, dF)); - dP = dF * c1 + s.m_F * c2; - addScaledCofactorMatrixDifferential(s.m_F, dF, m_lambda_damp*(s.m_J-1.) - 0.75*m_mu_damp, dP); - dP += s.m_cofF * c3; - } - - btScalar DotProduct(const btMatrix3x3& A, const btMatrix3x3& B) - { - btScalar ans = 0; - for (int i = 0; i < 3; ++i) - { - ans += A[i].dot(B[i]); - } - return ans; - } - - // Let C(A) be the cofactor of the matrix A - // Let H = the derivative of C(A) with respect to A evaluated at F = A - // This function calculates H*dF - void addScaledCofactorMatrixDifferential(const btMatrix3x3& F, const btMatrix3x3& dF, btScalar scale, btMatrix3x3& M) - { - M[0][0] += scale * (dF[1][1] * F[2][2] + F[1][1] * dF[2][2] - dF[2][1] * F[1][2] - F[2][1] * dF[1][2]); - M[1][0] += scale * (dF[2][1] * F[0][2] + F[2][1] * dF[0][2] - dF[0][1] * F[2][2] - F[0][1] * dF[2][2]); - M[2][0] += scale * (dF[0][1] * F[1][2] + F[0][1] * dF[1][2] - dF[1][1] * F[0][2] - F[1][1] * dF[0][2]); - M[0][1] += scale * (dF[2][0] * F[1][2] + F[2][0] * dF[1][2] - dF[1][0] * F[2][2] - F[1][0] * dF[2][2]); - M[1][1] += scale * (dF[0][0] * F[2][2] + F[0][0] * dF[2][2] - dF[2][0] * F[0][2] - F[2][0] * dF[0][2]); - M[2][1] += scale * (dF[1][0] * F[0][2] + F[1][0] * dF[0][2] - dF[0][0] * F[1][2] - F[0][0] * dF[1][2]); - M[0][2] += scale * (dF[1][0] * F[2][1] + F[1][0] * dF[2][1] - dF[2][0] * F[1][1] - F[2][0] * dF[1][1]); - M[1][2] += scale * (dF[2][0] * F[0][1] + F[2][0] * dF[0][1] - dF[0][0] * F[2][1] - F[0][0] * dF[2][1]); - M[2][2] += scale * (dF[0][0] * F[1][1] + F[0][0] * dF[1][1] - dF[1][0] * F[0][1] - F[1][0] * dF[0][1]); - } - - virtual btDeformableLagrangianForceType getForceType() - { - return BT_NEOHOOKEAN_FORCE; - } - + // Let Q be the damping stress. + // This function calculates the dP = dQ/dF * dF + void firstPiolaDampingDifferential(const btSoftBody::TetraScratch& s, const btMatrix3x3& dF, btMatrix3x3& dP) + { + btScalar c1 = (m_mu_damp * (1. - 1. / (s.m_trace + 1.))); + btScalar c2 = ((2. * m_mu_damp) * DotProduct(s.m_F, dF) * (1. / ((1. + s.m_trace) * (1. + s.m_trace)))); + btScalar c3 = (m_lambda_damp * DotProduct(s.m_cofF, dF)); + dP = dF * c1 + s.m_F * c2; + addScaledCofactorMatrixDifferential(s.m_F, dF, m_lambda_damp * (s.m_J - 1.) - 0.75 * m_mu_damp, dP); + dP += s.m_cofF * c3; + } + + btScalar DotProduct(const btMatrix3x3& A, const btMatrix3x3& B) + { + btScalar ans = 0; + for (int i = 0; i < 3; ++i) + { + ans += A[i].dot(B[i]); + } + return ans; + } + + // Let C(A) be the cofactor of the matrix A + // Let H = the derivative of C(A) with respect to A evaluated at F = A + // This function calculates H*dF + void addScaledCofactorMatrixDifferential(const btMatrix3x3& F, const btMatrix3x3& dF, btScalar scale, btMatrix3x3& M) + { + M[0][0] += scale * (dF[1][1] * F[2][2] + F[1][1] * dF[2][2] - dF[2][1] * F[1][2] - F[2][1] * dF[1][2]); + M[1][0] += scale * (dF[2][1] * F[0][2] + F[2][1] * dF[0][2] - dF[0][1] * F[2][2] - F[0][1] * dF[2][2]); + M[2][0] += scale * (dF[0][1] * F[1][2] + F[0][1] * dF[1][2] - dF[1][1] * F[0][2] - F[1][1] * dF[0][2]); + M[0][1] += scale * (dF[2][0] * F[1][2] + F[2][0] * dF[1][2] - dF[1][0] * F[2][2] - F[1][0] * dF[2][2]); + M[1][1] += scale * (dF[0][0] * F[2][2] + F[0][0] * dF[2][2] - dF[2][0] * F[0][2] - F[2][0] * dF[0][2]); + M[2][1] += scale * (dF[1][0] * F[0][2] + F[1][0] * dF[0][2] - dF[0][0] * F[1][2] - F[0][0] * dF[1][2]); + M[0][2] += scale * (dF[1][0] * F[2][1] + F[1][0] * dF[2][1] - dF[2][0] * F[1][1] - F[2][0] * dF[1][1]); + M[1][2] += scale * (dF[2][0] * F[0][1] + F[2][0] * dF[0][1] - dF[0][0] * F[2][1] - F[0][0] * dF[2][1]); + M[2][2] += scale * (dF[0][0] * F[1][1] + F[0][0] * dF[1][1] - dF[1][0] * F[0][1] - F[1][0] * dF[0][1]); + } + + virtual btDeformableLagrangianForceType getForceType() + { + return BT_NEOHOOKEAN_FORCE; + } }; #endif /* BT_NEOHOOKEAN_H */ |