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fn_functions.cpp
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#include "utilities.cpp"
struct element{
vector<double> edge = {NAN,NAN,NAN,NAN};
vector<vector<int> > conn;
bool processed = 0;
vector<bool> active;
};
inline int count_nan(vector<double> input){
int count = 0;
for(int i = 0; i < input.size(); ++i){
if (isnan(input[i]))
++count;
}
return count;
}
inline int det_type(vector<double> edge){
int type = 1;
if(count_nan(edge) == 2){
if(isnan(edge[0]) && isnan(edge[2]))
type = 2;
else if(isnan(edge[1]) && isnan(edge[3]))
type = 2;
}
else if(count_nan(edge) == 0 & (edge[0] > 1.0 || edge[1] > 1.0 || edge[2] > 1.0 || edge[3] > 1.0))
type = 3;
else if(count_nan(edge) == 0)
type = 4;
else{
// Code for T-crack and intersecting cracks
cout << "Error determining type. Check for inconsistent assignment of edge variables" << endl;
}
return type;
}
inline MatrixXd point_interpolation(VectorXd x1, VectorXd x2, double e){
MatrixXd xv(1,2);
xv << x1(0)*(1-e) + x2(0)*e, x1(1)*(1-e) + x2(1)*e;
return xv;
}
// inline MatrixXd point_interpolation(double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4){
// MatrixXd xv(1,2);
// cout << x1 << " " << y1 << endl;
// cout << x2 << " " << y2 << endl;
// cout << x3 << " " << y3 << endl;
// cout << x4 << " " << y4 << endl;
//
// xv << ((x1*x2*y4+x2*x3*y1+x3*x4*y2+x4*x1*y3)-(x1*y2*x4+x2*y3*x1+x3*y4*x2+x4*y1*x3))/((x1*y4+x2*y1+x3*y2+x4*y3)-(x1*y2+x2*y3+x3*y4+x4*y1)),
// ((y1*x2*y4+y2*x3*y1+y3*x4*y2+y4*x1*y3)-(y1*y2*x4+y2*y3*x1+y3*y4*x2+y4*y1*x3))/((x1*y4+x2*y1+x3*y2+x4*y3)-(x1*y2+x2*y3+x3*y4+x4*y1));
// xv << (x1*x3*(y2-y4)+x1*x4*(y3-y2)+x2*x3*(y4-y1)+x2*x4*(y1-y3))/((x1-x2)*(y3-y4)+x3*(y2-y1)+x4*(y1-y2)),
// (x1*y2*y3-x1*y2*y4+x2*y1*(y4-y3)-x3*y1*y4+x3*y2*y4+x4*y3*(y1-y2))/((x1-x2)*(y3-y4)+x3*(y2-y1)+x4*(y1-y2));
//
// cout << xv << endl;
// return xv;
// }
inline double disp_interpolation(double u1, double u2, double e){
return u1*(1-e) + u2*e;
}
// inline double disp_interpolation(double u1, double u2, double u3, double u4, double v1, double v2, double v3, double v4, int direction){
// if (direction == 1)
// return (u1*u3*(v2-v4)+u1*u4*(v3-v2)+u2*u3*(v4-v1)+u2*u4*(v1-v3))/((u1-u2)*(v3-v4)+u3*(v2-v1)+u4*(v1-v2));
// else
// return (u1*v2*v3-u1*v2*v4+u2*v1*(v4-v3)-u3*v1*v4+u3*v2*v4+u4*v3*(v1-v2))/((u1-u2)*(v3-v4)+u3*(v2-v1)+u4*(v1-v2));
// }
inline double distance(VectorXd x1, VectorXd x2){
return sqrt(pow(x1(0)-x2(0),2)+pow(x1(1)-x2(1),2));
}
void partition(element &elem, int lmn, MatrixXi &conn, map <pair<int,int>,pair<int,int> > &allocated_nodes, MatrixXd &x, VectorXd &un1, int &ndof){
VectorXi nodes = conn(lmn,all);
MatrixXd xv = x(nodes,all);
MatrixXd ux = un1(nodes.array()*2);
MatrixXd uy = un1(nodes.array()*2+1);
int nnod = ndof/2;
int type = det_type(elem.edge);
if (type == 1){
int start = -1;
for(start = 0; start < 4; ++start){
if(!isnan(elem.edge[start]) && !isnan(elem.edge[(start+1)%4]))
break;
}
start = (start+1)%4;
vector<int> old_nodes{start,(start+1)%4,(start+2)%4,(start+3)%4};
vector<int> fl_nodes{nnod,nnod+1,nnod+2,nnod+3};
// Code to change the nodes assigned
if(allocated_nodes.find(make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))) != allocated_nodes.end()){
fl_nodes[0] = allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].first;
fl_nodes[1] = allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))] = make_pair(fl_nodes[0],fl_nodes[1]);
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[0]))] = make_pair(fl_nodes[1],fl_nodes[0]);
}
if(allocated_nodes.find(make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))) != allocated_nodes.end()){
fl_nodes[2] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].first;
fl_nodes[3] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))] = make_pair(fl_nodes[2],fl_nodes[3]);
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))] = make_pair(fl_nodes[3],fl_nodes[2]);
}
x(fl_nodes[0],all) = point_interpolation(xv(old_nodes[0],all),xv(old_nodes[1],all),elem.edge[old_nodes[0]]-eps);
x(fl_nodes[1],all) = point_interpolation(xv(old_nodes[0],all),xv(old_nodes[1],all),elem.edge[old_nodes[0]]+eps);//x(fl_nodes[0],all);
un1(fl_nodes[0]*2) = disp_interpolation(ux(old_nodes[0]),ux(old_nodes[1]),elem.edge[start]);
un1(fl_nodes[0]*2+1) = disp_interpolation(uy(old_nodes[0]),uy(old_nodes[1]),elem.edge[start]);
un1(fl_nodes[1]*2) = un1(fl_nodes[0]*2);
un1(fl_nodes[1]*2+1) = un1(fl_nodes[0]*2+1);
x(fl_nodes[2],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]-eps);
x(fl_nodes[3],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]+eps);//x(fl_nodes[2],all);
un1(fl_nodes[2]*2) = disp_interpolation(ux(old_nodes[3]),ux(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[2]*2+1) = disp_interpolation(uy(old_nodes[3]),uy(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[3]*2) = un1(fl_nodes[2]*2);
un1(fl_nodes[3]*2+1) = un1(fl_nodes[2]*2+1);
elem.conn.push_back({nodes(old_nodes[0]), fl_nodes[0] , fl_nodes[3]});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[1]), nodes(old_nodes[2])});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[2]), fl_nodes[2]});
elem.conn.push_back({fl_nodes[2], nodes(old_nodes[2]), nodes(old_nodes[3])});
elem.active = {1,1,1,1};
ndof+=8;
}
else if(type == 2){
int start = 0;
if (isnan(elem.edge[1]) && isnan(elem.edge[3])){
start = 1;
}
vector<int> old_nodes{start,(start+1)%4,(start+2)%4,(start+3)%4};
vector<int> fl_nodes{nnod,nnod+1,nnod+2,nnod+3};
// Code to change the nodes assigned
if(allocated_nodes.find(make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))) != allocated_nodes.end()){
fl_nodes[0] = allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].first;
fl_nodes[1] = allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))] = make_pair(fl_nodes[0],fl_nodes[1]);
allocated_nodes[make_pair(nodes(old_nodes[2]),nodes(old_nodes[1]))] = make_pair(fl_nodes[1],fl_nodes[0]);
}
if(allocated_nodes.find(make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))) != allocated_nodes.end()){
fl_nodes[2] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].first;
fl_nodes[3] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))] = make_pair(fl_nodes[2],fl_nodes[3]);
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))] = make_pair(fl_nodes[3],fl_nodes[2]);
}
x(fl_nodes[0],all) = point_interpolation(xv(old_nodes[1],all),xv(old_nodes[2],all),elem.edge[old_nodes[1]]-eps);
x(fl_nodes[1],all) = point_interpolation(xv(old_nodes[1],all),xv(old_nodes[2],all),elem.edge[old_nodes[1]]+eps);//x(fl_nodes[0],all);
un1(fl_nodes[0]*2) = disp_interpolation(ux(old_nodes[1]),ux(old_nodes[2]),elem.edge[old_nodes[1]]);
un1(fl_nodes[0]*2+1) = disp_interpolation(uy(old_nodes[1]),uy(old_nodes[2]),elem.edge[old_nodes[1]]);
un1(fl_nodes[1]*2) = un1(fl_nodes[0]*2);
un1(fl_nodes[1]*2+1) = un1(fl_nodes[0]*2+1);
x(fl_nodes[2],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]-eps);
x(fl_nodes[3],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]+eps);//x(fl_nodes[2],all);
un1(fl_nodes[2]*2) = disp_interpolation(ux(old_nodes[3]),ux(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[2]*2+1) = disp_interpolation(uy((old_nodes[3])%4),uy(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[3]*2) = un1(fl_nodes[2]*2);
un1(fl_nodes[3]*2+1) = un1(fl_nodes[2]*2+1);
if(distance(xv(old_nodes[0],all),x(fl_nodes[0],all)) < distance(x(fl_nodes[3],all),xv(old_nodes[1],all))){
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[0]});
elem.conn.push_back({fl_nodes[0], fl_nodes[3], nodes(old_nodes[0])});
}
else{
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[3]});
elem.conn.push_back({nodes(old_nodes[1]), fl_nodes[0], fl_nodes[3]});
}
if(distance(x(fl_nodes[2],all),xv(old_nodes[2],all)) < distance(xv(old_nodes[3],all),x(fl_nodes[1],all))){
elem.conn.push_back({fl_nodes[2], fl_nodes[1], nodes(old_nodes[2])});
elem.conn.push_back({nodes(old_nodes[2]), nodes(old_nodes[3]), fl_nodes[2]});
}
else{
elem.conn.push_back({fl_nodes[2], fl_nodes[1], nodes(old_nodes[3])});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[2]), nodes(old_nodes[3])});
}
elem.active = {1,1,1,1};
ndof+=8;
}
}
void partition_crack_tip(element &elem, int lmn, MatrixXi &conn, map <pair<int,int>,pair<int,int> > &allocated_nodes, MatrixXd &x, VectorXd &un1, int &ndof){
VectorXi nodes = conn(lmn,all);
MatrixXd xv = x(nodes,all);
MatrixXd ux = un1(nodes.array()*2);
MatrixXd uy = un1(nodes.array()*2+1);
int crack_tip_edge = -1;
for(int i = 0; i < 4; i++){
if(elem.edge[i] < 0){
crack_tip_edge = i;
elem.edge[i] = abs(elem.edge[i]);
break;
}
}
if (crack_tip_edge == -1){
cerr << "Crack tip not initialized/updated in the edge-dataset" << endl;
}
int nnod = ndof/2;
int type = det_type(elem.edge);
if (type == 1){
int start = -1;
for(start = 0; start < 4; ++start){
if(!isnan(elem.edge[start]) && !isnan(elem.edge[(start+1)%4]))
break;
}
start = (start+1)%4;
vector<int> old_nodes{start,(start+1)%4,(start+2)%4,(start+3)%4};
vector<int> fl_nodes{nnod,nnod+1,nnod+2,nnod+3};
// Code to change the nodes assigned
if(allocated_nodes.find(make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))) != allocated_nodes.end()){
fl_nodes[0] = allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].first;
fl_nodes[1] = allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))] = make_pair(fl_nodes[0],fl_nodes[1]);
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[0]))] = make_pair(fl_nodes[1],fl_nodes[0]);
}
if(allocated_nodes.find(make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))) != allocated_nodes.end()){
fl_nodes[2] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].first;
fl_nodes[3] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))] = make_pair(fl_nodes[2],fl_nodes[3]);
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))] = make_pair(fl_nodes[3],fl_nodes[2]);
}
x(fl_nodes[0],all) = point_interpolation(xv(old_nodes[0],all),xv(old_nodes[1],all),elem.edge[old_nodes[0]]-eps);
x(fl_nodes[1],all) = point_interpolation(xv(old_nodes[0],all),xv(old_nodes[1],all),elem.edge[old_nodes[0]]+eps);//x(fl_nodes[0],all);
un1(fl_nodes[0]*2) = disp_interpolation(ux(old_nodes[0]),ux(old_nodes[1]),elem.edge[start]);
un1(fl_nodes[0]*2+1) = disp_interpolation(uy(old_nodes[0]),uy(old_nodes[1]),elem.edge[start]);
un1(fl_nodes[1]*2) = un1(fl_nodes[0]*2);
un1(fl_nodes[1]*2+1) = un1(fl_nodes[0]*2+1);
x(fl_nodes[2],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]-eps);
x(fl_nodes[3],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]+eps);//x(fl_nodes[2],all);
un1(fl_nodes[2]*2) = disp_interpolation(ux(old_nodes[3]),ux(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[2]*2+1) = disp_interpolation(uy(old_nodes[3]),uy(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[3]*2) = un1(fl_nodes[2]*2);
un1(fl_nodes[3]*2+1) = un1(fl_nodes[2]*2+1);
if(start == crack_tip_edge){
elem.conn.push_back({nodes(old_nodes[0]), fl_nodes[0] , fl_nodes[3]});
elem.conn.push_back({fl_nodes[0], nodes(old_nodes[1]), nodes(old_nodes[2])});
elem.conn.push_back({fl_nodes[0], nodes(old_nodes[2]), fl_nodes[2]});
elem.conn.push_back({fl_nodes[2], nodes(old_nodes[2]), nodes(old_nodes[3])});
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].second = -allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[1]))].second;
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[0]))].first = -allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[0]))].first;
}
else{
elem.conn.push_back({nodes(old_nodes[0]), fl_nodes[0] , fl_nodes[2]});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[1]), nodes(old_nodes[2])});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[2]), fl_nodes[2]});
elem.conn.push_back({fl_nodes[2], nodes(old_nodes[2]), nodes(old_nodes[3])});
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second = -allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))].first = -allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))].first;
}
elem.active = {1,1,1,1};
ndof+=8;
}
else if(type == 2){
int start = 0;
if (isnan(elem.edge[1]) && isnan(elem.edge[3])){
start = 1;
}
vector<int> old_nodes{start,(start+1)%4,(start+2)%4,(start+3)%4};
vector<int> fl_nodes{nnod,nnod+1,nnod+2,nnod+3};
// Code to change the nodes assigned
if(allocated_nodes.find(make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))) != allocated_nodes.end()){
fl_nodes[0] = allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].first;
fl_nodes[1] = allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))] = make_pair(fl_nodes[0],fl_nodes[1]);
allocated_nodes[make_pair(nodes(old_nodes[2]),nodes(old_nodes[1]))] = make_pair(fl_nodes[1],fl_nodes[0]);
}
if(allocated_nodes.find(make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))) != allocated_nodes.end()){
fl_nodes[2] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].first;
fl_nodes[3] = allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
}
else{
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))] = make_pair(fl_nodes[2],fl_nodes[3]);
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))] = make_pair(fl_nodes[3],fl_nodes[2]);
}
x(fl_nodes[0],all) = point_interpolation(xv(old_nodes[1],all),xv(old_nodes[2],all),elem.edge[old_nodes[1]]-eps);
x(fl_nodes[1],all) = point_interpolation(xv(old_nodes[1],all),xv(old_nodes[2],all),elem.edge[old_nodes[1]]+eps);//x(fl_nodes[0],all);
un1(fl_nodes[0]*2) = disp_interpolation(ux(old_nodes[1]),ux(old_nodes[2]),elem.edge[old_nodes[1]]);
un1(fl_nodes[0]*2+1) = disp_interpolation(uy(old_nodes[1]),uy(old_nodes[2]),elem.edge[old_nodes[1]]);
un1(fl_nodes[1]*2) = un1(fl_nodes[0]*2);
un1(fl_nodes[1]*2+1) = un1(fl_nodes[0]*2+1);
x(fl_nodes[2],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]-eps);
x(fl_nodes[3],all) = point_interpolation(xv(old_nodes[3],all),xv(old_nodes[0],all),elem.edge[old_nodes[3]]+eps);//x(fl_nodes[2],all);
un1(fl_nodes[2]*2) = disp_interpolation(ux(old_nodes[3]),ux(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[2]*2+1) = disp_interpolation(uy((old_nodes[3])%4),uy(old_nodes[0]),elem.edge[old_nodes[3]]);
un1(fl_nodes[3]*2) = un1(fl_nodes[2]*2);
un1(fl_nodes[3]*2+1) = un1(fl_nodes[2]*2+1);
if((start+1)%4 == crack_tip_edge){
if(distance(xv(old_nodes[0],all),x(fl_nodes[0],all)) < distance(x(fl_nodes[3],all),xv(old_nodes[1],all))){
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[0]});
elem.conn.push_back({fl_nodes[0], fl_nodes[3], nodes(old_nodes[0])});
}
else{
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[3]});
elem.conn.push_back({nodes(old_nodes[1]), fl_nodes[0], fl_nodes[3]});
}
if(distance(x(fl_nodes[2],all),xv(old_nodes[2],all)) < distance(xv(old_nodes[3],all),x(fl_nodes[0],all))){
elem.conn.push_back({fl_nodes[2], fl_nodes[0], nodes(old_nodes[2])});
elem.conn.push_back({nodes(old_nodes[2]), nodes(old_nodes[3]), fl_nodes[2]});
}
else{
elem.conn.push_back({fl_nodes[2], fl_nodes[0], nodes(old_nodes[3])});
elem.conn.push_back({fl_nodes[0], nodes(old_nodes[2]), nodes(old_nodes[3])});
}
allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].second = -allocated_nodes[make_pair(nodes(old_nodes[1]),nodes(old_nodes[2]))].second;
allocated_nodes[make_pair(nodes(old_nodes[2]),nodes(old_nodes[1]))].first = -allocated_nodes[make_pair(nodes(old_nodes[2]),nodes(old_nodes[1]))].first;
}
else{
if(distance(xv(old_nodes[0],all),x(fl_nodes[0],all)) < distance(x(fl_nodes[2],all),xv(old_nodes[1],all))){
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[0]});
elem.conn.push_back({fl_nodes[0], fl_nodes[2], nodes(old_nodes[0])});
}
else{
elem.conn.push_back({nodes(old_nodes[0]), nodes(old_nodes[1]), fl_nodes[2]});
elem.conn.push_back({nodes(old_nodes[1]), fl_nodes[0], fl_nodes[2]});
}
if(distance(x(fl_nodes[2],all),xv(old_nodes[2],all)) < distance(xv(old_nodes[3],all),x(fl_nodes[1],all))){
elem.conn.push_back({fl_nodes[2], fl_nodes[1], nodes(old_nodes[2])});
elem.conn.push_back({nodes(old_nodes[2]), nodes(old_nodes[3]), fl_nodes[2]});
}
else{
elem.conn.push_back({fl_nodes[2], fl_nodes[1], nodes(old_nodes[3])});
elem.conn.push_back({fl_nodes[1], nodes(old_nodes[2]), nodes(old_nodes[3])});
}
allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second = -allocated_nodes[make_pair(nodes(old_nodes[3]),nodes(old_nodes[0]))].second;
allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))].first = -allocated_nodes[make_pair(nodes(old_nodes[0]),nodes(old_nodes[3]))].first;
}
elem.active = {1,1,1,1};
ndof+=8;
}
}
void partition_transition(element &elem, int lmn, MatrixXi &conn, map <pair<int,int>,pair<int,int> > &allocated_nodes, MatrixXd &x, VectorXd &un1, int &ndof){
VectorXi nodes = conn(lmn,all);
int start = -1, floating_node = -1;
for(start = 0; start < 4; ++start){
if(allocated_nodes.find(make_pair(nodes(start),nodes((start+1)%4))) != allocated_nodes.end()){
if(allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].first > 0)
floating_node = allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].first;
else
floating_node = allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].second;
allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].first = abs(allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].first);
allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].second = abs(allocated_nodes[make_pair(nodes(start),nodes((start+1)%4))].second);
allocated_nodes[make_pair(nodes((start+1)%4),nodes(start))].first = abs(allocated_nodes[make_pair(nodes((start+1)%4),nodes(start))].first);
allocated_nodes[make_pair(nodes((start+1)%4),nodes(start))].second = abs(allocated_nodes[make_pair(nodes((start+1)%4),nodes(start))].second);
break;
}
}
vector <int> old_nodes = {nodes(start), nodes((start+1)%4), nodes((start+2)%4), nodes((start+3)%4)};
elem.conn.push_back({old_nodes[0],floating_node,old_nodes[3]});
elem.conn.push_back({old_nodes[3],floating_node,old_nodes[2]});
elem.conn.push_back({old_nodes[2],floating_node,old_nodes[1]});
elem.active = {1,1,1,1};
}
void floating_nodes(vector<int> &discont, map <int,element> &fn_elements, map <pair<int,int>,pair<int,int> > &allocated_nodes, MatrixXi &conn, MatrixXd &x, VectorXd &un1, int &ndof){
int nelm = conn.rows();
for (int i = 0; i < nelm; ++i){
if(discont[i] == 1){
partition(fn_elements[i], i, conn, allocated_nodes, x, un1, ndof);
discont[i]=2;
}
}
for(int i = 0; i < nelm; ++i){
if(discont[i] == 3){
partition_crack_tip(fn_elements[i], i, conn, allocated_nodes, x, un1, ndof);
discont[i] = 5;
}
}
for(int i = 0; i < nelm; ++i){
if(discont[i] == 4){
partition_transition(fn_elements[i], i, conn, allocated_nodes, x, un1, ndof);
discont[i] = 6;
}
}
}
void remove_singular_elements(map <int,element> &fn_elements, MatrixXd &x){
for(map<int,element>::iterator it = fn_elements.begin(); it!=fn_elements.end(); ++it){
if(!it->second.processed){
vector<vector<int> > lconn = it->second.conn;
for (int j = 0; j < lconn.size(); ++j){
vector<int> nodes = lconn[j];
MatrixXd xv = x(nodes,all);
double area_elem = -1;
area_elem = 0.5*(xv(0,0)*xv(1,1)-xv(1,0)*xv(0,1) + xv(1,0)*xv(2,1)-xv(2,0)*xv(1,1) + xv(2,0)*xv(0,1)-xv(0,0)*xv(2,1));
if(area_elem < ar_tol){
it->second.active[j] = 0;
}
}
it->second.processed = 1;
}
}
}