Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions. Page: 62
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<<numDof<<" and numberNodesPerElement = "<<numNodes<<endl;
exit(1);
}
case 3:
switch (numDof)
{
case 1:
switch (shapeNum)
{
case 1:
return (1.0/2.0)*Xi*(Xi-1.0);
case 2:
return (1.0+Xi)*(1.0-Xi);
case 3:
return (1.0/2.0)*Xi*(Xi+ 1.0);
default:
cout<<"Error in Shape::Phi : No case data for shapNum =
<<shapeNum<<", numberDofPerNode = "<<numDof
<<", and numberNodesPerElement = "<<numNodes<<endl;
exit(l);
}
case 2:
switch (shapeNum)
{
case 1:
return 0.25" *(4.0*Xi*Xi-5.0*Xi*Xi*Xi-2.0*Xi*Xi*Xi*Xi+3.0*Xi*Xi*Xi*Xi*Xi);
case 2:
return 0.25*" (Xi*XiXiXi*Xi*Xi-Xi*Xi*Xi*Xi+Xi*Xi*Xi*Xi*Xi) *JacobianO;
case 3:
return 1.0-2.0*Xi*Xi+Xi*Xi*Xi*Xi;
case 4:
return (Xi-2.0*Xi*Xi*Xi+Xi*Xi*Xi*Xi*Xi)*JacobianO;
case 5:
return 0.25*" (4.0*Xi*Xi+5.0*Xi*Xi*Xi-2.0*Xi*Xi*Xi*Xi-3.0*Xi*Xi*Xi*Xi*Xi);
case 6:
return 0.25" *(-Xi*Xi-Xi*Xi*Xi+Xi*Xi*Xi*Xi+Xi*Xi*Xi*Xi*Xi)*JacobianO;
default:
cout<<"Error in Shape::Phi : No case data for shapNum =
<<shapeNum<<", numberDofPerNode = "<<numDof
<<", and numberNodesPerElement = "<<numNodes<<endl;
exit(1);
}
default:
cout<< "Error in Shape::Phi : No case data for numberDofPerNode =
<<numDof<<" and numberNodesPerElement = "<<numNodes<<endl;
exit(1);
}
case 4:
switch (numDof)
{
case 1:
switch (shapeNum)
{
case 1:62
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Hunnell, Jason C. Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions., thesis, May 2002; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc3087/m1/69/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .