Abstract
Publisher Summary This chapter presents a mathematical model to simulate the behavior of metal matrix composites under cyclic proportional and nonproportional loading. This model incorporates both the phenomena of damage and cyclic plasticity. In the chapter, a description of the cyclic plasticity model is presented and based on this model the development of the damage based plasticity model is outlined. The cyclic plasticity model is based on an anisotropic yield criterion. The salient features of this criterion are outlined in the chapter along with some experimental comparisons. The model uses a nonassociative flow rule and a modified form of the bounding surface model, for the case of anisotropic materials. This procedure involves the computation of the anisotropic plastic modulus. All materials undergo damage that is synonymous with the degradation of the material's elastic stiffness as repeated loading takes place. To account for this phenomenon, a damage-plasticity model is presented in the chapter. This is based on the cyclic plasticity behavior blended with the damage model.
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