Example Temperature cycling with isotropic hardening

2 Example Temperature cycling with isotropic hardening 

A thin film of rate-independent elastic-plastic material is subjected to temperature cycling between some reference absolute temperature and a higher temperature To + T. The film material exhibits isotropic strain hardening, and the quantity (3 in the yield function (7.59) has been determined to be 

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Fig. 7.17. Variation of normalized equi-biaxial film stress as a function of normalized temperature, for the example considered in Section 7.5.2 where the film material is modeled as an isotropically hardening solid. The solid lines denote the response obtained from the numerical integration of (7.65) for the first three thermal cycles where it is assumed that the material properties do not vary with temperature, over the range considered. The dashed lines denote the corresponding behavior for the case where the thin film plastic response is taken to be temperature-dependent.

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