Difference between revisions of "Isotropic Softening Material"
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# How does damage evolve? | # How does damage evolve? | ||
The first question is answered by attaching a failure | The first question is answered by attaching a [[Damage Initiation Laws|damage initiation law]] to the material. This laws define a failure envelop. Once the response reaches the envelop, the damage process is initiated and the normal to the envelop define the normal to the crack plane model by this damage mechanics material. | ||
The second question is answered by using the damage tensor proposed by Chabocch | |||
Chaboche, J. (1982). Le concept de contrainte effective appliqu ́e a` l’ ́elasticit ́e et a` la viscoplasticit ́e en pr ́esence d’un endommagement anisotrope. In Boehler, J.-P., editor, Mechanical Behav- ior of Anisotropic Solids / Comportment M ́echanique des Solides Anisotropes, pages 737–760. Springer Netherlands. | Chaboche, J. (1982). Le concept de contrainte effective appliqu ́e a` l’ ́elasticit ́e et a` la viscoplasticit ́e en pr ́esence d’un endommagement anisotrope. In Boehler, J.-P., editor, Mechanical Behav- ior of Anisotropic Solids / Comportment M ́echanique des Solides Anisotropes, pages 737–760. Springer Netherlands. | ||
Revision as of 13:01, 13 January 2016
Constitutive Law
This MPM Material is an isotropic, elastic material, but once it fails, it develops anisotropic damage. The material is available only in OSParticulas.The constitutive law for this material is
[math]\displaystyle{ \mathbf{\sigma} = (\mathbf{I} - \mathbf{D}) \mathbf{C} \mathbf{\varepsilon} }[/math]
where C is stiffness tensor for the underlying isotropic material and D is an anisotropic 4th rank damage tensor. The important questions for implementing this material are:
- When does damage initiate?
- Once damage is form, what damage tensor, D, should be used to describe the anisotropic response after failure?
- How does damage evolve?
The first question is answered by attaching a damage initiation law to the material. This laws define a failure envelop. Once the response reaches the envelop, the damage process is initiated and the normal to the envelop define the normal to the crack plane model by this damage mechanics material.
The second question is answered by using the damage tensor proposed by Chabocch
Chaboche, J. (1982). Le concept de contrainte effective appliqu ́e a` l’ ́elasticit ́e et a` la viscoplasticit ́e en pr ́esence d’un endommagement anisotrope. In Boehler, J.-P., editor, Mechanical Behav- ior of Anisotropic Solids / Comportment M ́echanique des Solides Anisotropes, pages 737–760. Springer Netherlands.