Difference between revisions of "Isotropic Softening Material"
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<math>\mathbf{\sigma} = (\mathbf{I} - \mathbf{D}) \mathbf{C} \mathbf{\varepsilon}</math> | <math>\mathbf{\sigma} = (\mathbf{I} - \mathbf{D}) \mathbf{C} \mathbf{\varepsilon}</math> | ||
where <math>\mathbf{C}</math> is stiffness tensor for the underlying isotropic material and <math>\mathbf{D}</math> is an anisotropic 4<sup>th</sup> rank damage tensor. | |||
Revision as of 12:21, 13 January 2016
Constitutive Law
This MPM Material is an isotropic, elastic material, but once it fails, it develops anisotropic damage. The constitutive law for this material is
[math]\displaystyle{ \mathbf{\sigma} = (\mathbf{I} - \mathbf{D}) \mathbf{C} \mathbf{\varepsilon} }[/math]
where [math]\displaystyle{ \mathbf{C} }[/math] is stiffness tensor for the underlying isotropic material and [math]\displaystyle{ \mathbf{D} }[/math] is an anisotropic 4th rank damage tensor.