Difference between revisions of "Transversely Isotropic Viscoelastic Material"
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(This material is available only in [[OSParticulas]] because it is still in development) | (This material is available only in [[OSParticulas]] because it is still in development) | ||
This anisotropic [[Material Models|MPM material]] is a [[Material Models#Viscoelastic Materials|small strain, linear viscoelastic material]] that extends the [[Viscoelastic Material]] to model anisotropic viscoelasticity. | This anisotropic [[Material Models|MPM material]] is a [[Material Models#Viscoelastic Materials|small strain, linear viscoelastic material]] that extends the [[Viscoelastic Material]] to model anisotropic viscoelasticity. | ||
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<math>\sigma(t) = C(t) * \varepsilon(t)</math> | <math>\sigma(t) = \mathbf{C}(t) * \varepsilon(t)</math> | ||
Here <math>*</math> indicates convolution (or Boltzman's superposition) between time-dependent stiffness tensor (<math>\mathbf{C}(t)</math>) and strain tensor. | |||
Revision as of 15:42, 7 January 2021
Constitutive Law
(This material is available only in OSParticulas because it is still in development)
This anisotropic MPM material is a small strain, linear viscoelastic material that extends the Viscoelastic Material to model anisotropic viscoelasticity.
The stress (σ) and strain (ε) are related by:
[math]\displaystyle{ \sigma(t) = \mathbf{C}(t) * \varepsilon(t) }[/math]
Here [math]\displaystyle{ * }[/math] indicates convolution (or Boltzman's superposition) between time-dependent stiffness tensor ([math]\displaystyle{ \mathbf{C}(t) }[/math]) and strain tensor.