Implementation of finite Strain Viscoelastic Model with Mooney-Rivlin Hyperelasticity #140
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Hi @Sad-Abd, thanks, very well done! 🥇 I'll do some small changes here and there and merge this afterwards. Tasks
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FYI, this also works well with FElupe. import felupe as fem
import matadi as mat
mesh = fem.Cube(n=6)
region = fem.RegionHexahedron(mesh)
field = fem.FieldContainer([fem.Field(region, dim=3)])
boundaries, loadcase = fem.dof.uniaxial(field, clamped=True)
umat = fem.constitutive_material(fem.CompositeMaterial)(
mat.models.ViscoelasticMooneyRivlin(), fem.NeoHooke(mu=0.4)
)
solid = fem.SolidBodyNearlyIncompressible(umat, field, bulk=5000)
move = fem.math.linsteps([0, 0.2, 0, 0.3], num=[10, 10, 15])
step = fem.Step(items=[solid], ramp={boundaries["move"]: move}, boundaries=boundaries)
job = fem.CharacteristicCurve(steps=[step], boundary=boundaries["move"])
job.evaluate(verbose=2)
fig, ax = job.plot()
ax2 = solid.imshow("Principal Values of Cauchy Stress")With umat = fem.CompositeMaterial(
fem.constitutive_material(mat.models.ViscoelasticMooneyRivlin)(), fem.NeoHooke(mu=0.4)
)
ax3 = umat.plot(incompressible=True, ux=1 + move, bx=None, ps=None) |
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I'm happy to see everything is alright. Looking forward to contribute even more ✌️ |
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This pull request addresses the issue #139, which proposed the addition of Finite Strain Viscoelastic Model with Mooney-Rivlin Hyperelasticity.
Unimodular Part Computation (
unimodular)unimodularfunction in themathmodule that computes the unimodular part of a given tensor.Matrix Square Root Function (
sqrtm)sqrtmfunction to themathmodule that computes the matrix square root of a given square matrix.Finite Strain Viscoelastic Material Formulation (
finite_strain_viscoelastic_MR)finite_strain_viscoelastic_MR, which implements a finite strain viscoelastic material model with Mooney-Rivlin hyperelasticity based on the paper by Shutov (2018) [https://doi.org/10.1002/nme.5724].Viscoelastic Material Template (
Viscoelastic_MR)Viscoelastic_MR.Please review the changes and provide feedback or suggestions. If everything looks good, feel free to merge this pull request.