Difference between revisions of "Viscoelastic Material"
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== Constitutive Law == | == Constitutive Law == | ||
This [[Material Models|MPM material]] is | This [[Material Models|MPM material]] is a small-strain, linear viscoelastic material with time-dependent shear modulus, ''G''(''t''), and a time-independent bulk modulus, ''K''. The time-dependen shear modulus is give by a sum of ''n'' exponentials: | ||
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<math>G(t) = G_0 + \sum_{i=1}^n G_i e^{-t/\tau_i}</math> | |||
Here ''G''<sub>0</sub> is the long-time shear modulus and the short-time shear modulus is the sum: | |||
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<math>G(0) = \sum_{i=0}^n G_i</math> | |||
== Material Properties == | == Material Properties == | ||
Revision as of 11:29, 6 January 2014
Constitutive Law
This MPM material is a small-strain, linear viscoelastic material with time-dependent shear modulus, G(t), and a time-independent bulk modulus, K. The time-dependen shear modulus is give by a sum of n exponentials:
[math]\displaystyle{ G(t) = G_0 + \sum_{i=1}^n G_i e^{-t/\tau_i} }[/math]
Here G0 is the long-time shear modulus and the short-time shear modulus is the sum:
[math]\displaystyle{ G(0) = \sum_{i=0}^n G_i }[/math]
Material Properties
| Property | Description | Units | Default |
|---|---|---|---|
| E | Tensile modulus | MPa | none |
History Variables
None