# About sigmaExp of solidEquilibriumDisplacementFoam OpenFOAM 14

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 May 24, 2007, 22:04 In solidEquilibriumDisplacemen #1 New Member   Jerry Wei Join Date: Mar 2009 Posts: 1 Rep Power: 0 In solidEquilibriumDisplacementFoam,there are two Sigma tensor: sigmaExp = (lambda - mu)*gradDcorr + mu*gradDcorr.T() + (lambda*I)*tr(gradDcorr); sigmaD += accFac*(mu*twoSymm(gradDcorr) + (lambda*I)*tr(gradDcorr)); and solve equation with sigmaD and sigmaExp: solve ( fvm::laplacian(2*mu + lambda, Dcorr, "laplacian(DD,Dcorr)") + fvc::div(sigmaExp + sigmaD) ); But in StressedFoam(OpenFOAM 1.3): fvVectorMatrix UEqn ( fvm::d2dt2(U) == fvm::laplacian(2*mu + lambda, U, "laplacian(DU,U)") + fvc::div ( mu*gradU.T() + lambda*(I*tr(gradU)) - (mu + lambda)*gradU, "div(sigma)" ) ); I can't understand about that the coefficient is not the same between sigmaExp and stressedFOAM: sigmaExp: (lambda - mu)*gradDcorr stressedFOAM: - (mu + lambda)*gradU and is there reference paper about the new solver of solidEquilibriumDisplacementFoam?(The method is cool and good) thank you very much!!! Jerry

 September 15, 2011, 13:16 #2 Member   Santiago Join Date: Dec 2009 Posts: 85 Rep Power: 8 I have question related to StressedFoam. The equation to be solved appears to be the one described here (equation #6) : http://powerlab.fsb.hr/ped/kturbo/Op...tressPaper.pdf However, the solver solves this equation : fvVectorMatrix UsolidEqn ( fvm::d2dt2(Usolid) == fvm::laplacian(2*mu + lambda, Usolid, "laplacian(DU,U)") + fvc::div ( mu*gradUsolid.T() + lambda*(I*tr(gradUsolid)) - (mu + lambda)*gradUsolid, "div(sigma)" ) ); I dont understand where the (mu + lambda)*gradUsolid and fvm::laplacian(2*mu + lambda, Usolid, "laplacian(DU,U)") terms is coming from Any idea?? I'll appreciate any help. THanks

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