void gcm::TsaiHillFailureCriterion::checkFailure(ICalcNode& node, const float tau) {
if( node.isDestroyed() )
return;
MaterialPtr mat = node.getMaterial();
auto props = mat->getFailureProperties();
int dir = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_DIR];
real Xc = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_XC];
real Xt = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_XT];
real Yc = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_YC];
real Yt = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_YT];
real St = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_ST];
real S = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_S];
gcm::real s11, s12, s13, s22, s23, s33;
switch (dir)
{
case 1:
s11 = node.sxx;
s12 = node.sxy;
s13 = node.sxz;
s22 = node.syy;
s23 = node.syz;
s33 = node.szz;
break;
case 2:
s11 = node.syy;
s12 = node.sxy;
s13 = node.syz;
s22 = node.sxx;
s23 = node.sxz;
s33 = node.szz;
break;
case 3:
s11 = node.szz;
s12 = node.sxz;
s13 = node.syz;
s22 = node.sxx;
s23 = node.sxy;
s33 = node.syy;
break;
default:
return;
}
gcm::real X = (Xc + Xt)/2.0,
Y = (Yc + Yt)/2.0,
Z = Y,
F = (1/Y/Y + 1/Z/Z - 1/X/X)/2.0,
G = (1/Z/Z + 1/X/X - 1/Y/Y)/2.0,
H = (1/X/X + 1/Y/Y - 1/Z/Z)/2.0,
L = 1/St/St/2.0,
M = 1/S/S/2.0,
N = M;
if ( (F*(s22-s33)*(s22-s33) + G*(s33-s11)*(s33-s11) + H*(s11-s22)*(s11-s22) + 2*L*s23*s23 + 2*M*s12*s12 + 2*N*s13*s13) >= 1.0 )
{
node.setDestroyed(true);
//node.setDamageMeasure(4);
}
}
void gcm::AnisotropicMatrix3DAnalytical::createAx(const ICalcNode& node)
{
clear();
#ifdef NDEBUG
auto mat = static_cast<IAnisotropicElasticMaterial*> (node.getMaterial());
#else
auto mat = dynamic_cast<IAnisotropicElasticMaterial*> (node.getMaterial());
assert_true(mat);
#endif
auto rho = node.getRho();
auto C = mat->getParameters();
// Setting values of A
A(0,3) = A(1,8) = A(2,7) = -1.0/rho;
A(3,0) = -C.c11; A(3,1) = -C.c16; A(3,2) = -C.c15;
A(4,0) = -C.c12; A(4,1) = -C.c26; A(4,2) = -C.c25;
A(5,0) = -C.c13; A(5,1) = -C.c36; A(5,2) = -C.c35;
A(6,0) = -C.c14; A(6,1) = -C.c46; A(6,2) = -C.c45;
A(7,0) = -C.c15; A(7,1) = -C.c56; A(7,2) = -C.c55;
A(8,0) = -C.c16; A(8,1) = -C.c66; A(8,2) = -C.c56;
ThirdDegreePolynomial tdp (rho, C, 0);
double roots[3];
tdp.getRoots(roots);
MatrixInverter matInv;
if ( ! tdp.isMultiple() ) {
// Search eigenvalues and filling the diagonal matrix
L(0,0) = sqrt(roots[0]);
L(1,1) = -L(0,0);
L(2,2) = sqrt(roots[1]);
L(3,3) = -L(2,2);
L(4,4) = sqrt(roots[2]);
L(5,5) = -L(4,4);
// Search eigenvectors and filling the transition matrix
// ( A = U1 * L * U and so eigenvectors are columns of the U1 )
double eigenVec[9];
for (int i = 0; i < 6; i++) {
findEigenVec(eigenVec, sqrt(roots[i/2]) * ( (i%2) ? -1 : 1 ), rho, C, 0);
U1.setColumn(eigenVec, i);
matInv.setColumn(eigenVec, i);
}
} else {
// Search eigenvalues and filling the diagonal matrix
// We hope L is diagonizable
L(0, 0) = sqrt(roots[0]);
L(1, 1) = -L(0, 0);
L(2, 2) = L(3, 3) = sqrt(roots[1]);
L(4, 4) = L(5, 5) = - sqrt(roots[1]);
// Search eigenvectors and filling the transition matrix
// ( A = U1 * L * U and so eigenvectors are columns of the U1 )
double eigenVec1[9];
double eigenVec2[9];
for (int i = 0; i < 2; i++) {
findEigenVec(eigenVec1, sqrt(roots[0]) * ( (i%2) ? -1 : 1 ), rho, C, 0);
U1.setColumn(eigenVec1, i);
matInv.setColumn(eigenVec1, i);
}
for (int i = 2; i < 5; i+=2) {
findEigenVec(eigenVec1, eigenVec2, sqrt(roots[1]) * ( ((i/2)%2) ? 1 : -1 ), rho, C, 0);
U1.setColumn(eigenVec1, i);
matInv.setColumn(eigenVec1, i);
U1.setColumn(eigenVec2, i+1);
matInv.setColumn(eigenVec2, i+1);
}
}
U1(4,6) = U1(5,7) = U1(6,8) = 1;
matInv.setUnity(4,6, 5,7, 6,8);
// Search U = U1^(-1)
matInv.inv(U);
fixValuesOrder();
};
void PuckFailureCriterion::checkFailure(ICalcNode& node, const float tau) {
if( node.isDestroyed() )
return;
MaterialPtr mat = node.getMaterial();
auto props = mat->getFailureProperties();
int dir = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_DIR];
real Xc = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_XC];
real Xt = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_XT];
real Yc = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_YC];
real Yt = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_YT];
real St = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_ST];
real S = props[FAILURE_TYPE_HASHIN][FAILURE_TYPE_HASHIN_S];
real s11, s12, s13, s22, s23, s33;
int dir1 = 0, dir2 = 0;
switch (dir)
{
case 1:
s11 = node.sxx;
s12 = node.sxy;
s13 = node.sxz;
s22 = node.syy;
s23 = node.syz;
s33 = node.szz;
dir1 = 1;
dir2 = 2;
break;
case 2:
s11 = node.syy;
s12 = node.syz;
s13 = node.sxy;
s22 = node.szz;
s23 = node.sxz;
s33 = node.sxx;
dir1 = 2;
dir2 = 0;
break;
case 3:
s11 = node.szz;
s12 = node.sxz;
s13 = node.syz;
s22 = node.sxx;
s23 = node.sxy;
s33 = node.syy;
dir1 = 0;
dir2 = 1;
break;
default:
return;
}
real m_s[3] = {0};
//FF
if (s11 > 0 && s11/Xt - 1 > 0)
{
m_s[dir-1] = 1;
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(1);
return;
}
if (s11 < 0 && -s11/Xc - 1 > 0)
{
m_s[dir-1] = 1;
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(2);
return;
}
//IFF
real RATII = S,
pTII_minus = 0.000003,
pTII_plus = 0.000003,
pTT_minus = 0.000003,
pTT_plus = 0.000003,
RATT = Yc/((1+pTT_minus)),
RAT_plus = Yt;
//--- Mode A
/* real f = sqrt((s23/RATII)*(s23/RATII) + (1-pTII_plus*RAT_plus/RATII)*(1-pTII_plus*RAT_plus/RATII) * (s22/RAT_plus)*(s22/RAT_plus)) + pTII_plus*s22/RATII - 1;
if (s22 > 0 && f > 0)
{
m_s[dir1] = 1;
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(3);
return;
}
//--- Mode B
f = sqrt((s23/RATII)*(s23/RATII) - (pTII_plus/RATII)*(pTII_plus/RATII)*s22*s22) + (pTII_plus/RATII)*s22 - 1;
if (s22 < 0 && f > 0)
{
m_s[dir2] = 1;
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(4);
return;
}*/
//--- Mode C
real s1 = (s22+s33)/2 + sqrt(((s22-s33)/2)*((s22-s33)/2) + s23*s23),
s2 = (s22+s33)/2 - sqrt(((s22-s33)/2)*((s22-s33)/2) + s23*s23);
real t12 = (s1-s2)/2;
real cosO = sqrt(((t12/s2)*(t12/s2) * (RATT/S)*(RATT/S) + 1)/(2*(1+pTT_minus)));
if (s23 > 0) cosO = -cosO; //plus
//if (s23 < 0) cosO = -cosO; //minus
real sn = s22*cosO*cosO + s33*(1-cosO*cosO) + 2*s23*cosO*sqrt(1-cosO*cosO),
tnt = (s33-s22)*cosO*sqrt(1-cosO*cosO) + s23*(2*cosO*cosO - 1),
tnl = s13*sqrt(1-cosO*cosO) + s12*cosO;
real cos2psi = tnt*tnt/(tnt*tnt + tnl*tnl),
sin2psi = tnl*tnl/(tnt*tnt + tnl*tnl);
real pR_plus = pTT_plus*cos2psi/RATT + pTII_plus*sin2psi/RATII,
pR_minus = pTT_minus*cos2psi/RATT + pTII_minus*sin2psi/RATII;
real f_plus = sqrt(( (1/RAT_plus-pR_plus)*sn )*( (1/RAT_plus-pR_plus)*sn ) + (tnt/RATT)*(tnt/RATT) + (tnl/RATII)*(tnl/RATII)) + pR_plus*sn - 1,
f_minus = sqrt((tnt/RATT)*(tnt/RATT) + (tnl/RATII)*(tnl/RATII) + (pR_minus*sn)*(pR_minus*sn)) + pR_minus*sn - 1;
if (sn >= 0 && f_plus > 0)
{
m_s[dir] = 0;
m_s[dir1] = cosO;
m_s[dir2] = sqrt(1 - cosO*cosO);
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(5);
return;
}
if (sn < 0 && f_minus > 0)
{
m_s[dir] = 0;
m_s[dir1] = cosO;
m_s[dir2] = sqrt(1 - cosO*cosO);
node.createCrack(m_s[0],m_s[1],m_s[2]);
node.setDestroyed(true);
node.setDamageMeasure(6);
return;
}
}