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Searched refs:mu_1 (Results 1 – 5 of 5) sorted by relevance

/libCEED/examples/solids/problems/
H A Dmooney-rivlin.c54 …phys_smoother->lambda = 2 * (phys_smoother->mu_1 + phys_smoother->mu_2) * nu_smoother / (1 - 2 * n… in PhysicsSmootherContext_MR()
67 phys->mu_1 = -1; in ProcessPhysics_MR()
78 …PetscCall(PetscOptionsScalar("-mu_1", "Material Property mu_1", NULL, phys->mu_1, &phys->mu_1, NUL… in ProcessPhysics_MR()
79 …if (phys->mu_1 < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Mooney-Rivlin model requires non-nega… in ProcessPhysics_MR()
86 phys->lambda = 2 * (phys->mu_1 + phys->mu_2) * nu / (1 - 2 * nu); in ProcessPhysics_MR()
103 phys->mu_1 *= units->Pascal; in ProcessPhysics_MR()
H A Dmooney-rivlin.h19 CeedScalar mu_1; member
/libCEED/examples/solids/qfunctions/
H A Dfinite-strain-mooney-rivlin.h24 CeedScalar mu_1; member
102 CEED_QFUNCTION_HELPER int commonFSMR(const CeedScalar mu_1, const CeedScalar mu_2, const CeedScalar… in commonFSMR() argument
148 …Swork[i] = (lambda * *logJ - mu_1 - 2 * mu_2) * Cinvwork[i] + (mu_1 + mu_2 * I_1) * (i < 3) // id… in commonFSMR()
169 const CeedScalar mu_1 = context->mu_1; in ElasFSResidual_MR() local
223 commonFSMR(mu_1, mu_2, lambda, tempgradu, Swork, Cwork, Cinvwork, &logJ); in ElasFSResidual_MR()
268 const CeedScalar mu_1 = context->mu_1; in ElasFSJacobian_MR() local
316 commonFSMR(mu_1, mu_2, lambda, tempgradu, Swork, Cwork, Cinvwork, &logJ); in ElasFSJacobian_MR()
380 …dSwork[i] = lambda * Cinv_contract_dE * Cinvwork[i] + 2 * (mu_1 + 2 * mu_2 - lambda * logJ) * Cinv… in ElasFSJacobian_MR()
428 const CeedScalar mu_1 = context->mu_1; in ElasFSEnergy_MR() local
500 …energy[i] = (0.5 * lambda * (logJ) * (logJ) - (mu_1 + 2 * mu_2) * logJ + (mu_1 / 2.) * (I_1 - 3) +… in ElasFSEnergy_MR()
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/libCEED/examples/solids/
H A DMakefile75 tests-output/MR-strain.csv: args = -problem FSInitial-MR1 -mu_1 1 -mu_2 0.0 -nu .4
76 tests-output/MR-strain1.csv: args = -problem FSInitial-MR1 -mu_1 .5 -mu_2 0.5 -nu .4
H A Dindex.md325 …b{I_1}, \mathbb{I_2}, J) = \frac{\lambda}{2}(\log J)^2 - (\mu_1 + 2\mu_2) \log J + \frac{\mu_1}{2}…
332 \bm S &= \lambda \log J \bm{C}^{-1} - (\mu_1 + 2\mu_2) \bm{C}^{-1} + \mu_1\bm I_3 + \mu_2(\mathbb{…
333 &= (\lambda \log J - \mu_1 - 2\mu_2) \bm C^{-1} + (\mu_1 + \mu_2 \mathbb I_1) \bm I_3 - \mu_2 \bm C,
345 …ed rubber, with a shear modulus (defined for the small-strain limit) of $\mu_1 + \mu_2$ that shoul…
366 mr["parameters"] = "mu_1=1, mu_2=0, nu=.4"
370 mr1["parameters"] = "mu_1=0.5, mu_2=0.5, nu=.4"
461 &\quad + 2(\mu_1 + 2\mu_2 - \lambda \log J) \bm C^{-1} \diff\bm E \bm C^{-1} \\
466 Note that this agrees with {eq}`eq-neo-hookean-incremental-stress` if $\mu_1 = \mu, \mu_2 = 0$.