TPZCompMesh * CMeshFooting2D(TPZGeoMesh * gmesh, int p_order){
unsigned int dim = gmesh->Dimension();
const std::string name("ElastoPlastic Footing Problem ");
// Setting up attributes
TPZCompMesh * cmesh = new TPZCompMesh(gmesh);
cmesh->SetName(name);
cmesh->SetDefaultOrder(p_order);
cmesh->SetDimModel(dim);
// Mohr Coulomb data
REAL mc_cohesion = 10.0;
REAL mc_phi = (20.0*M_PI/180);
REAL mc_psi = mc_phi;
/// ElastoPlastic Material using Mohr Coulomb
// Elastic predictor
TPZElasticResponse ER;
REAL G = 400*mc_cohesion;
REAL nu = 0.3;
REAL E = 2.0*G*(1+nu);
TPZPlasticStepPV<TPZYCMohrCoulombPV, TPZElasticResponse> LEMC;
ER.SetEngineeringData(E, nu);
LEMC.SetElasticResponse(ER);
LEMC.fYC.SetUp(mc_phi, mc_psi, mc_cohesion, ER);
int PlaneStrain = 1;
// TPZElasticCriterion MatEla;
// MatEla.SetElasticResponse(ER);
// TPZMatElastoPlastic2D < TPZElasticCriterion, TPZElastoPlasticMem > * material = new TPZMatElastoPlastic2D < TPZElasticCriterion, TPZElastoPlasticMem >(ERock,PlaneStrain);
// material->SetPlasticityModel(MatEla);
// cmesh->InsertMaterialObject(material);
TPZMatElastoPlastic2D < TPZPlasticStepPV<TPZYCMohrCoulombPV, TPZElasticResponse>, TPZElastoPlasticMem > * material = new TPZMatElastoPlastic2D < TPZPlasticStepPV<TPZYCMohrCoulombPV, TPZElasticResponse>, TPZElastoPlasticMem >(ERock,PlaneStrain);
material->SetPlasticityModel(LEMC);
cmesh->InsertMaterialObject(material);
TPZFMatrix<STATE> val1(2,2,0.), val2(2,1,0.);
val2(0,0) = 0;
val2(1,0) = 1;
TPZBndCond * bc_bottom = material->CreateBC(material, EBottomBC, Eu_null, val1, val2);
val2(0,0) = 1;
val2(1,0) = 0;
TPZBndCond * bc_lateral = material->CreateBC(material, ELateralBC, Eu_null, val1, val2);
// val2(0,0) = 0;
// val2(1,0) = 0;
// val1(0,0) = 0;
// val1(1,1) = 1;
val2(0,0) = 0;
val2(1,0) = 0;
TPZBndCond * bc_top = material->CreateBC(material, ETopBC, ETn, val1, val2);
val2(0,0) = 0;
val2(1,0) = 0;
TPZBndCond * bc_top_null = material->CreateBC(material, ETopNullBC, ETn, val1, val2);
cmesh->InsertMaterialObject(bc_bottom);
cmesh->InsertMaterialObject(bc_lateral);
cmesh->InsertMaterialObject(bc_top);
// cmesh->InsertMaterialObject(bc_top_null);
cmesh->SetAllCreateFunctionsContinuousWithMem();
cmesh->AutoBuild();
#ifdef PZDEBUG
std::ofstream out("cmesh.txt");
cmesh->Print(out);
#endif
return cmesh;
}
int main() {
//malha geometrica
TPZGeoMesh *firstmesh = new TPZGeoMesh;
firstmesh->SetName("Malha Geometrica : Nós e Elementos");
firstmesh->NodeVec().Resize(10);
TPZVec<REAL> coord(2); //,coordtrans(2);
// REAL ct,st,PI=3.141592654;
// cout << "\nEntre rotacao do eixo n1 (graus) -> ";
// REAL g;
// cin >> g;
// g = g*PI/180.;
// ct = cos(g);
// st = sin(g);
//ct = 1.;
//st = 0.;
//nos geometricos
//no 0
coord[0] = 0;
coord[1] = 0;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[0].Initialize(coord,*firstmesh);
//no 1
coord[0] = 1.;
coord[1] = 0;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[1].Initialize(coord,*firstmesh);
//no 2
coord[0] = 2.;
coord[1] = 0.;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[2].Initialize(coord,*firstmesh);
//no 3
coord[0] = 3.;
coord[1] = 0.;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[3].Initialize(coord,*firstmesh);
//no 4
coord[0] = 4;
coord[1] = 0.;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[4].Initialize(coord,*firstmesh);
//no 5
coord[0] = 0;
coord[1] = 1;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[5].Initialize(coord,*firstmesh);
//no 6
coord[0] = 1.;
coord[1] = 1.;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[6].Initialize(coord,*firstmesh);
//no 7
coord[0] = 2.;
coord[1] = 1.;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[7].Initialize(coord,*firstmesh);
//no 8
coord[0] = 3.;
coord[1] = 1;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[8].Initialize(coord,*firstmesh);
//no 9
coord[0] = 4;
coord[1] = 1;
// coordtrans[0] = ct*coord[0]-st*coord[1];
// coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[9].Initialize(coord,*firstmesh);
/*
TPZVec<int> nodeindexes(3);
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 2;
//elementos geometricos
TPZGeoElT2d *elg0 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 2;
nodeindexes[2] = 3;
TPZGeoElT2d *elg1 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 2;
TPZGeoElT2d *elg2 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 2;
nodeindexes[2] = 3;
TPZGeoElT2d *elg3 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
*/
TPZVec<int> nodeindexes(4);
//elementos geometricos
TPZGeoEl *elg[4];
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 6;
nodeindexes[3] = 5;
elg[0] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 1;
nodeindexes[1] = 2;
nodeindexes[2] = 7;
nodeindexes[3] = 6;
elg[1] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 2;
nodeindexes[1] = 3;
nodeindexes[2] = 8;
nodeindexes[3] = 7;
elg[2] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 3;
nodeindexes[1] = 4;
nodeindexes[2] = 9;
nodeindexes[3] = 8;
elg[3] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
//Arquivos de saida
ofstream outgm1("outgm1.dat");
ofstream outcm1("outcm1.dat");
ofstream outcm2("outcm2.dat");
//montagem de conectividades entre elementos
firstmesh->BuildConnectivity();
//malha computacional
TPZCompMesh *secondmesh = new TPZCompMesh(firstmesh);
secondmesh->SetName("Malha Computacional : Conectividades e Elementos");
//material
TPZMaterial *pl = LerMaterial("flavio.dat");
secondmesh->InsertMaterialObject(pl);
// pl = LerMaterial("placa2.dat");
// secondmesh->InsertMaterialObject(pl);
// pl = LerMaterial("placa3.dat");
// secondmesh->InsertMaterialObject(pl);
// carregamento hidrostatico no plano vertica xz
pl->SetForcingFunction(PressaoHid);
//CC : condicões de contorno
TPZBndCond *bc;
REAL big = 1.e12;
TPZFMatrix val1(6,6,0.),val2(6,1,0.);
// engastes nos lados 4 e 7 do elemento 0
TPZGeoElBC(elg[0],4,-2,*firstmesh);
TPZGeoElBC(elg[0],7,-2,*firstmesh);
// engaste no lado 4 do elemento 1
TPZGeoElBC(elg[1],4,-2,*firstmesh);
// engaste no lado 4 do elemento 2
TPZGeoElBC(elg[2],4,-2,*firstmesh);
// engaste no lado 4 do elemento 3
TPZGeoElBC(elg[3],4,-2,*firstmesh);
// imposicao do valor zero associado a condicao -2 (engaste)
bc = pl->CreateBC(-2,0,val1,val2);
secondmesh->InsertMaterialObject(bc);
// imposicao da condicao de simetria no lado 5 do elemento 4
val1(0,0)=big;
val1(1,1)=0.;
val1(2,2)=0.;
val1(3,3)=0.;
val1(4,4)=big;
val1(5,5)=big;
TPZGeoElBC(elg[3],5,-3,*firstmesh);
bc = pl->CreateBC(-3,2,val1,val2);
secondmesh->InsertMaterialObject(bc);
//ordem de interpolacao
int ord;
cout << "Entre ordem 1,2,3,4,5 : ";
cin >> ord;
// TPZCompEl::gOrder = ord;
firstmesh.SetDefaultOrder(order);
//construção malha computacional
TPZVec<int> csub(0);
TPZManVector<TPZGeoEl *> pv(4);
int n1=1,level=0;
cout << "\nDividir ate nivel ? ";
int resp;
cin >> resp;
int nelc = firstmesh->ElementVec().NElements();
int el;
TPZGeoEl *cpel;
for(el=0;el<firstmesh->ElementVec().NElements();el++) {
cpel = firstmesh->ElementVec()[el];
if(cpel && cpel->Level() < resp)
cpel->Divide(pv);
}
cout << "\nDividir o elemento esquerdo superior quantas vezes? ";
cin >> resp;
cpel = firstmesh->ElementVec()[0];
for(el=0; el<resp; el++) {
cpel->Divide(pv);
cpel = pv[3];
}
//analysis
secondmesh->AutoBuild();
firstmesh->Print(outgm1);
outgm1.flush();
secondmesh->AdjustBoundaryElements();
secondmesh->InitializeBlock();
secondmesh->Print(outcm1);
TPZAnalysis an(secondmesh,outcm1);
int numeq = secondmesh->NEquations();
secondmesh->Print(outcm1);
outcm1.flush();
TPZVec<int> skyline;
secondmesh->Skyline(skyline);
TPZSkylMatrix *stiff = new TPZSkylMatrix(numeq,skyline);
an.SetMatrix(stiff);
an.Solver().SetDirect(ECholesky);
secondmesh->SetName("Malha Computacional : Connects e Elementos");
// Posprocessamento
an.Run(outcm2);
TPZVec<char *> scalnames(5);
scalnames[0] = "Mn1";
scalnames[1] = "Mn2";
scalnames[2] = "Vn1";
scalnames[3] = "Vn2";
scalnames[4] = "Deslocz";
TPZVec<char *> vecnames(0);
char plotfile[] = "placaPos.pos";
char pltfile[] = "placaView.plt";
an.DefineGraphMesh(2, scalnames, vecnames, plotfile);
an.Print("FEM SOLUTION ",outcm1);
an.PostProcess(3);
an.DefineGraphMesh(2, scalnames, vecnames, pltfile);
an.PostProcess(2);
firstmesh->Print(outgm1);
outgm1.flush();
delete secondmesh;
delete firstmesh;
return 0;
}
int main() {
//malha geometrica
TPZGeoMesh *firstmesh = new TPZGeoMesh;
firstmesh->SetName("Malha Geometrica : Nós e Elementos");
firstmesh->NodeVec().Resize(4);
TPZVec<REAL> coord(2),coordtrans(2);
REAL ct,st,PI=3.141592654;
cout << "\nEntre rotacao do eixo n1 (graus) -> ";
REAL g;
cin >> g;
g = g*PI/180.;
ct = cos(g);
st = sin(g);
//ct = 1.;
//st = 0.;
coord[0] = 0;
coord[1] = 0;
coordtrans[0] = ct*coord[0]-st*coord[1];
coordtrans[1] = st*coord[0]+ct*coord[1];
//nos geometricos
firstmesh->NodeVec()[0].Initialize(coordtrans,*firstmesh);
coord[0] = 5;
coordtrans[0] = ct*coord[0]-st*coord[1];
coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[1].Initialize(coordtrans,*firstmesh);
coord[0] = 5;
coord[1] = 5;
coordtrans[0] = ct*coord[0]-st*coord[1];
coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[2].Initialize(coordtrans,*firstmesh);
coord[0] = 0;
coordtrans[0] = ct*coord[0]-st*coord[1];
coordtrans[1] = st*coord[0]+ct*coord[1];
firstmesh->NodeVec()[3].Initialize(coordtrans,*firstmesh);
/*
TPZVec<int> nodeindexes(3);
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 2;
//elementos geometricos
TPZGeoElT2d *elg0 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 2;
nodeindexes[2] = 3;
TPZGeoElT2d *elg1 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 2;
TPZGeoElT2d *elg2 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
nodeindexes[0] = 0;
nodeindexes[1] = 2;
nodeindexes[2] = 3;
TPZGeoElT2d *elg3 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
*/
TPZVec<int> nodeindexes(4);
nodeindexes[0] = 0;
nodeindexes[1] = 1;
nodeindexes[2] = 2;
nodeindexes[3] = 3;
//elementos geometricos
TPZGeoEl *elg0 = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
TPZGeoEl *elg1 = new TPZGeoElQ2d(nodeindexes,2,*firstmesh);
TPZGeoEl *elg2 = new TPZGeoElQ2d(nodeindexes,3,*firstmesh);
//Arquivos de saida
ofstream outgm1("outgm1.dat");
ofstream outcm1("outcm1.dat");
ofstream outcm2("outcm2.dat");
//montagem de conectividades entre elementos
firstmesh->BuildConnectivity();
//malha computacional
TPZCompMesh *secondmesh = new TPZCompMesh(firstmesh);
secondmesh->SetName("Malha Computacional : Conectividades e Elementos");
//material
TPZMaterial *pl = LerMaterial("placa1.dat");
secondmesh->InsertMaterialObject(pl);
pl = LerMaterial("placa2.dat");
secondmesh->InsertMaterialObject(pl);
pl = LerMaterial("placa3.dat");
secondmesh->InsertMaterialObject(pl);
//CC : condicões de contorno
TPZBndCond *bc;
REAL big = 1.e12;
TPZFMatrix val1(6,6,0.),val2(6,1,0.);
val1(0,0)=big;
val1(1,1)=big;
val1(2,2)=big;
val1(3,3)=0.;
val1(4,4)=0.;
val1(5,5)=0.;
TPZGeoElBC(elg0,5,-2,*firstmesh);
bc = pl->CreateBC(-2,2,val1,val2);
secondmesh->InsertMaterialObject(bc);
TPZGeoElBC(elg0,6,-3,*firstmesh);
bc = pl->CreateBC(-3,2,val1,val2);
secondmesh->InsertMaterialObject(bc);
val1(0,0)=0.;
val1(1,1)=big;
val1(2,2)=0.;
val1(3,3)=big;
val1(4,4)=0.;
val1(5,5)=0.;
TPZGeoElBC(elg0,4,-1,*firstmesh);
bc = pl->CreateBC(-1,2,val1,val2);
secondmesh->InsertMaterialObject(bc);
val1(0,0)=big;
val1(1,1)=0.;
val1(2,2)=0.;
val1(3,3)=0.;
val1(4,4)=big;
val1(5,5)=0.;
TPZGeoElBC(elg0,7,-4,*firstmesh);
bc = pl->CreateBC(-4,2,val1,val2);
secondmesh->InsertMaterialObject(bc);
//ordem de interpolacao
int ord;
cout << "Entre ordem 1,2,3,4,5 : ";
cin >> ord;
// TPZCompEl::gOrder = ord;
cmesh.SetDefaultOrder(ord);
//construção malha computacional
TPZVec<int> csub(0);
TPZManVector<TPZGeoEl *> pv(4);
int n1=1,level=0;
cout << "\nDividir ate nivel ? ";
int resp;
cin >> resp;
int nelc = firstmesh->ElementVec().NElements();
int el;
TPZGeoEl *cpel;
for(el=0;el<firstmesh->ElementVec().NElements();el++) {
cpel = firstmesh->ElementVec()[el];
if(cpel && cpel->Level() < resp)
cpel->Divide(pv);
}
//analysis
secondmesh->AutoBuild();
secondmesh->AdjustBoundaryElements();
secondmesh->InitializeBlock();
secondmesh->Print(outcm1);
TPZAnalysis an(secondmesh,outcm1);
int numeq = secondmesh->NEquations();
secondmesh->Print(outcm1);
outcm1.flush();
TPZVec<int> skyline;
secondmesh->Skyline(skyline);
TPZSkylMatrix *stiff = new TPZSkylMatrix(numeq,skyline);
an.SetMatrix(stiff);
an.Solver().SetDirect(ECholesky);
secondmesh->SetName("Malha Computacional : Connects e Elementos");
// Posprocessamento
an.Run(outcm2);
TPZVec<char *> scalnames(5);
scalnames[0] = "Mn1";
scalnames[1] = "Mn2";
scalnames[2] = "Sign1";
scalnames[3] = "Sign2";
scalnames[4] = "Deslocz";
TPZVec<char *> vecnames(0);
char plotfile[] = "placaPos.pos";
char pltfile[] = "placaView.plt";
an.DefineGraphMesh(2, scalnames, vecnames, plotfile);
an.Print("FEM SOLUTION ",outcm1);
an.PostProcess(2);
an.DefineGraphMesh(2, scalnames, vecnames, pltfile);
an.PostProcess(2);
firstmesh->Print(outgm1);
outgm1.flush();
delete secondmesh;
delete firstmesh;
return 0;
}