Rewrite and clean-up
This commit is contained in:
Hrvoje Jasak
parent
298bf9d822
commit
995e56c8a7
1 changed files with 244 additions and 320 deletions
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@ -43,351 +43,275 @@ int main(int argc, char *argv[])
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# include "createTime.H"
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# include "createMesh.H"
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runTime++;
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runTime++;
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Info << "Writing analytical solution for a plain strain cylinder with concentric hole,\nwhere"
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<< "\n\tinner radius = 0.5"
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<< "\n\touter radius = 0.7"
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<< "\n\tinner temperature = 100"
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<< "\n\touter temperature = 0"
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<< "\n\tinner pressure = 0"
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<< "\n\touter pressure = 0"
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<< "\n\tE = 200e9"
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<< "\n\tu = 0.3"
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<< "\n\talpha = 1e-5"
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<< nl << endl;
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Info<< "Writing analytical solution for a plain strain cylinder "
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<< "with concentric hole,\nwhere"
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<< "\n\tinner radius = 0.5"
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<< "\n\touter radius = 0.7"
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<< "\n\tinner temperature = 100"
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<< "\n\touter temperature = 0"
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<< "\n\tinner pressure = 0"
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<< "\n\touter pressure = 0"
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<< "\n\tE = 200e9"
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<< "\n\tu = 0.3"
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<< "\n\talpha = 1e-5"
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<< nl << endl;
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//- inner and outer radii and temperatures
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scalar a = 0.5;
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scalar b = 0.7;
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scalar Ti = 100;
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scalar To = 0;
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//- inner and outer radii and temperatures
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scalar a = 0.5;
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scalar b = 0.7;
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scalar Ti = 100;
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scalar To = 0;
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//- mechanical and thermal properties
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scalar E = 200e9;
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scalar nu = 0.3;
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scalar alpha = 1e-5;
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//- mechanical and thermal properties
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scalar E = 200e9;
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scalar nu = 0.3;
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scalar alpha = 1e-5;
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//- create T field
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volScalarField T
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const volVectorField& C = mesh.C();
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//- radial coordinate
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volScalarField radii
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(
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IOobject
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(
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"analyticalT",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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mesh,
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dimensionedScalar("zero", dimTemperature, 0.0)
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);
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sqrt
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(
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sqr(C.component(vector::X))
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+ sqr(C.component(vector::Y))
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)/dimensionedScalar("one", dimLength, 1)
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);
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const volVectorField& C = mesh.C();
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const scalarField& rIn = radii.internalField();
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//- radial coordinate
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volScalarField radii =
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C.component(vector::X)*C.component(vector::X) + C.component(vector::Y)*C.component(vector::Y);
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forAll(radii.internalField(), celli)
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{
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radii.internalField()[celli] = ::sqrt(radii.internalField()[celli]);
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}
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forAll(radii.boundaryField(), patchi)
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{
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forAll(radii.boundaryField()[patchi], facei)
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{
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radii.boundaryField()[patchi][facei] = ::sqrt(radii.boundaryField()[patchi][facei]);
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}
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}
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forAll(T.internalField(), celli)
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{
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const scalar& r = radii[celli];
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T.internalField()[celli] =
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( (Ti-To)/Foam::log(b/a) ) * Foam::log(b/r);
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}
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forAll(T.boundaryField(), patchi)
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{
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forAll(T.boundaryField()[patchi], facei)
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{
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const scalar& r = radii.boundaryField()[patchi][facei];
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T.boundaryField()[patchi][facei] =
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( (Ti-To)/Foam::log(b/a) ) * Foam::log(b/r);
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}
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}
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//- write temperature file
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Info << "Writing analytical termpature field" << endl;
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T.write();
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//- create sigma field
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volScalarField sigmaR
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Info << "Writing analytical termpature field" << endl;
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//- create T field
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volScalarField T
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(
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IOobject
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(
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"sigmaR",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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mesh,
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dimensionedScalar("zero", dimForce/dimArea, 0.0)
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);
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IOobject
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(
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"analyticalT",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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((Ti - To)/Foam::log(b/a))*Foam::log(b/radii)
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);
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T.write();
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forAll(sigmaR.internalField(), celli)
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{
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const scalar& r = radii.internalField()[celli];
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sigmaR.internalField()[celli] =
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( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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(-Foam::log(b/r) -( a*a/(b*b - a*a))*(1 - (b*b)/(r*r))*Foam::log(b/a));
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}
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forAll(sigmaR.boundaryField(), patchi)
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{
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forAll(sigmaR.boundaryField()[patchi], facei)
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{
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const scalar& r = radii.boundaryField()[patchi][facei];
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sigmaR.boundaryField()[patchi][facei] =
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( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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( -Foam::log(b/r) - ( a*a/(b*b - a*a))*(1 - (b*b)/(r*r))*Foam::log(b/a) );
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}
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}
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//- write temperature file
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Info << "\nWriting analytical sigmaR field" << endl;
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sigmaR.write();
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volScalarField sigmaTheta
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//- create sigma field
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Info << "\nWriting analytical sigmaR field" << endl;
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volScalarField sigmaR
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(
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IOobject
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(
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"sigmaTheta",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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mesh,
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dimensionedScalar("zero", dimForce/dimArea, 0.0)
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);
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forAll(sigmaTheta.internalField(), celli)
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{
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const scalar& r = radii.internalField()[celli];
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sigmaTheta.internalField()[celli] =
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( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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(1 -Foam::log(b/r) - ( a*a/(b*b - a*a))*(1 + (b*b)/(r*r))*Foam::log(b/a) );
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}
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forAll(sigmaTheta.boundaryField(), patchi)
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{
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forAll(sigmaTheta.boundaryField()[patchi], facei)
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{
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const scalar& r = radii.boundaryField()[patchi][facei];
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sigmaTheta.boundaryField()[patchi][facei] =
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( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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(1 -Foam::log(b/r) - ( a*a/(b*b - a*a))*(1 + (b*b)/(r*r))*Foam::log(b/a) );
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}
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}
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IOobject
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(
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"sigmaR",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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((alpha*E*(Ti - To))/(2*(1 - nu)*Foam::log(b/a)))*
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(
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-Foam::log(b/radii)
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- (sqr(a)/(sqr(b) - sqr(a)))*(1 - sqr(b)/sqr(radii))*Foam::log(b/a)
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)
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);
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sigmaR.write();
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//- write temperature file
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Info << "\nWriting analytical sigmaTheta field" << endl;
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sigmaTheta.write();
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volScalarField sigmaZ
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Info << "\nWriting analytical sigmaTheta field" << endl;
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volScalarField sigmaTheta
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(
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IOobject
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(
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"sigmaZ",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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mesh,
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dimensionedScalar("zero", dimForce/dimArea, 0.0)
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);
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IOobject
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(
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"sigmaTheta",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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((alpha*E*(Ti - To))/(2*(1 - nu)*Foam::log(b/a)))*
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(
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1 - Foam::log(b/radii)
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- (sqr(a)/(sqr(b) - sqr(a)))*(1 + sqr(b)/sqr(radii))*Foam::log(b/a)
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)
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);
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sigmaTheta.write();
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forAll(sigmaZ.internalField(), celli)
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{
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//- Timoshenko says this but I am not sure I am not sure the BCs in
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//- the z direction
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// sigmaZ.internalField()[celli] =
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// ( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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// (1 - 2*Foam::log(b/r) - ( 2*a*a/(b*b - a*a))*Foam::log(b/a));
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sigmaZ.internalField()[celli] =
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0.3*(sigmaR.internalField()[celli] + sigmaTheta.internalField()[celli])
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- E*alpha*(T.internalField()[celli]);
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}
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forAll(sigmaZ.boundaryField(), patchi)
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{
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forAll(sigmaZ.boundaryField()[patchi], facei)
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{
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//- Timoshenko says this but I am not sure I am not sure the BCs in
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//- the z direction
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//sigmaZ.boundaryField()[patchi][facei] =
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//( (alpha*E*(Ti-To))/(2*(1-nu)*Foam::log(b/a)) ) *
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//(1 - 2*Foam::log(b/r) - ( 2*a*a/(b*b - a*a))*Foam::log(b/a));
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//-for general 2-D plain strain problems, the axial stress is given by this:
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sigmaZ.boundaryField()[patchi][facei] =
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nu*(sigmaR.boundaryField()[patchi][facei] + sigmaTheta.boundaryField()[patchi][facei])
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- E*alpha*(T.boundaryField()[patchi][facei]);
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}
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}
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//- write temperature file
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Info << "\nWriting analytical sigmaZ field" << endl;
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sigmaZ.write();
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//- create analytical sigma tensor
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//- create theta field
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volScalarField theta
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Info << "\nWriting analytical sigmaZ field" << endl;
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volScalarField sigmaZ
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(
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IOobject
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(
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"theta",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::NO_WRITE
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),
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mesh,
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dimensionedScalar("zero", dimless, 0.0)
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);
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forAll(theta.internalField(), celli)
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{
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const scalar& x = mesh.C().internalField()[celli][vector::X];
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const scalar& y = mesh.C().internalField()[celli][vector::Y];
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IOobject
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(
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"sigmaZ",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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// Timoshenko says this but I am not sure I am not sure the BCs in
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// the z direction
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// ((alpha*E*(Ti - To))/(2*(1 - nu)*Foam::log(b/a)))*
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// (1 - 2*Foam::log(b/radii) - ( 2*sqr(a)/(sqr(b) - sqr(a)))*Foam::log(b/a));
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0.3*(sigmaR + sigmaTheta) - E*alpha*(T)
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);
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sigmaZ.write();
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theta.internalField()[celli] = Foam::atan(y/x);
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}
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forAll(theta.boundaryField(), patchi)
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{
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forAll(theta.boundaryField()[patchi], facei)
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{
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const scalar& x = mesh.C().boundaryField()[patchi][facei][vector::X];
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const scalar& y = mesh.C().boundaryField()[patchi][facei][vector::Y];
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theta.boundaryField()[patchi][facei] = Foam::atan(y/x);
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}
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}
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//- rotation matrix to convert polar stresses to cartesian
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volTensorField rotMat
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//- create theta field
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volScalarField yOverX
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(
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IOobject
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(
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"rotMat",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::NO_WRITE
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),
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mesh,
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dimensionedTensor("zero", dimless, tensor::zero)
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);
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"yOverX",
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Foam::max
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(
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scalar(-1),
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Foam::min
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(
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scalar(1),
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mesh.C().component(vector::Y)/
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stabilise
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(
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mesh.C().component(vector::X),
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dimensionedScalar("small", dimLength, SMALL)
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)
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)
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)
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);
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forAll(rotMat.internalField(), celli)
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{
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const scalar& t = theta.internalField()[celli];
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rotMat.internalField()[celli] = tensor(::cos(t), ::sin(t), 0,
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-::sin(t), ::cos(t), 0,
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0, 0, 1);
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}
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forAll(rotMat.boundaryField(), patchi)
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{
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forAll(rotMat.boundaryField()[patchi], facei)
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{
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const scalar& t = theta.boundaryField()[patchi][facei];
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rotMat.boundaryField()[patchi][facei] = tensor(::cos(t), ::sin(t), 0,
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-::sin(t), ::cos(t), 0,
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0, 0, 1);
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}
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}
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volSymmTensorField sigma
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volScalarField theta
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(
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IOobject
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(
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"analyticalSigma",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::AUTO_WRITE
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),
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mesh,
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dimensionedSymmTensor("zero", dimForce/dimArea, symmTensor::zero)
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);
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IOobject
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(
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"theta",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::NO_WRITE
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),
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Foam::atan(yOverX)
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);
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forAll(sigma.internalField(), celli)
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//- rotation matrix to convert polar stresses to cartesian
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volTensorField rotMat
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(
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IOobject
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(
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"rotMat",
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runTime.timeName(),
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mesh,
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IOobject::NO_READ,
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IOobject::NO_WRITE
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),
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mesh,
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dimensionedTensor("zero", dimless, tensor::zero)
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);
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tensorField& rotMatIn = rotMat.internalField();
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const scalarField tIn = theta.internalField();
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forAll (rotMatIn, celli)
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{
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const scalar& r = sigmaR.internalField()[celli];
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const scalar& t = sigmaTheta.internalField()[celli];
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const scalar& z = sigmaZ.internalField()[celli];
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const scalar& t = tIn[celli];
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const tensor& rot = rotMat.internalField()[celli];
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symmTensor sigmaCart(r, 0, 0,
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t, 0,
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z);
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sigma.internalField()[celli] =
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symm(rot.T() & sigmaCart & rot);
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//-for general 2-D plain strain problems, the axial stress is given by this:
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//- (which is not equal to the solution by Timoshenko... hmmmnn)
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// sigma.internalField()[celli][symmTensor::ZZ] =
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// 0.3*(sigma.internalField()[celli][symmTensor::XX] + sigma.internalField()[celli][symmTensor::YY])
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// - E*alpha*(T.internalField()[celli]);
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}
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forAll(sigma.boundaryField(), patchi)
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{
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forAll(sigma.boundaryField()[patchi], facei)
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{
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const scalar& r = sigmaR.boundaryField()[patchi][facei];
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const scalar& t = sigmaTheta.boundaryField()[patchi][facei];
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const scalar& z = sigmaZ.boundaryField()[patchi][facei];
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const tensor& rot = rotMat.boundaryField()[patchi][facei];
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symmTensor sigmaCart(r, 0, 0,
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t, 0,
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z);
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sigma.boundaryField()[patchi][facei] =
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symm(rot.T() & sigmaCart & rot);
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}
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rotMatIn[celli] =
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tensor
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(
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Foam::cos(t), Foam::sin(t), 0,
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-Foam::sin(t), Foam::cos(t), 0,
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0, 0, 1
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);
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}
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forAll (rotMat.boundaryField(), patchi)
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{
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forAll (rotMat.boundaryField()[patchi], facei)
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{
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const scalar& t = theta.boundaryField()[patchi][facei];
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Info << "\nWriting analytical sigma tensor" << endl;
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sigma.write();
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rotMat.boundaryField()[patchi][facei] =
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tensor
|
||||
(
|
||||
Foam::cos(t), Foam::sin(t), 0,
|
||||
-Foam::sin(t), Foam::cos(t), 0,
|
||||
0, 0, 1
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
Info << nl << "End" << endl;
|
||||
volSymmTensorField sigma
|
||||
(
|
||||
IOobject
|
||||
(
|
||||
"analyticalSigma",
|
||||
runTime.timeName(),
|
||||
mesh,
|
||||
IOobject::NO_READ,
|
||||
IOobject::AUTO_WRITE
|
||||
),
|
||||
mesh,
|
||||
dimensionedSymmTensor("zero", dimForce/dimArea, symmTensor::zero)
|
||||
);
|
||||
|
||||
return 0;
|
||||
{
|
||||
symmTensorField& sigmaIn = sigma.internalField();
|
||||
|
||||
const scalarField& rIn = sigmaR.internalField();
|
||||
const scalarField& tIn = sigmaTheta.internalField();
|
||||
const scalarField& zIn = sigmaZ.internalField();
|
||||
|
||||
forAll (sigmaIn, celli)
|
||||
{
|
||||
symmTensor sigmaCart
|
||||
(
|
||||
rIn[celli], 0, 0,
|
||||
tIn[celli], 0,
|
||||
zIn[celli]
|
||||
);
|
||||
|
||||
const tensor& rot = rotMatIn[celli];
|
||||
|
||||
sigmaIn[celli] = symm(rot.T() & sigmaCart & rot);
|
||||
|
||||
// for general 2-D plain strain problems, the axial stress is:
|
||||
// (which is not equal to the solution by Timoshenko... hmmmnn)
|
||||
// sigmaIn[celli][symmTensor::ZZ] =
|
||||
// 0.3*(sigmaIn[celli][symmTensor::XX]
|
||||
// + sigmaIn[celli][symmTensor::YY])
|
||||
// - E*alpha*(T.internalField()[celli]);
|
||||
}
|
||||
}
|
||||
|
||||
forAll (sigma.boundaryField(), patchi)
|
||||
{
|
||||
symmTensorField& pSigma = sigma.boundaryField()[patchi];
|
||||
const scalarField& pR = sigmaR.boundaryField()[patchi];
|
||||
const scalarField& pT = sigmaTheta.boundaryField()[patchi];
|
||||
const scalarField& pZ = sigmaZ.boundaryField()[patchi];
|
||||
|
||||
const tensorField pRot = rotMat.boundaryField()[patchi];
|
||||
|
||||
forAll (pSigma, facei)
|
||||
{
|
||||
const tensor& rot = pRot[facei];
|
||||
|
||||
symmTensor sigmaCart
|
||||
(
|
||||
pR[facei], 0, 0,
|
||||
pT[facei], 0,
|
||||
pZ[facei]
|
||||
);
|
||||
|
||||
pSigma[facei] = symm(rot.T() & sigmaCart & rot);
|
||||
}
|
||||
}
|
||||
|
||||
Info << "\nWriting analytical sigma tensor" << endl;
|
||||
sigma.write();
|
||||
|
||||
Info << nl << "End" << endl;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
|
|
|
|||
Reference in a new issue