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On transformation strains and uniform fields in multiphase elastic media. (English) Zbl 0748.73003
The effect of local eigenstrain and eigenstress fields, or transformation fields, on the local strains and stresses is explored in multiphase elastic solids of arbitrary geometry and material symmetry. The residual local fields caused by such transformation fields are sought in terms of certain transformation influence functions and transformation concentration factor tensors. General properties of these functions and concentration factors, and their relation to the analogous mechanical influence functions and concentration factors, are established, in part, with the help of uniform strain fields in multiphase media. Specific estimates of the transformation concentration factor tensors are evaluated by a the self-consistent and Mori-Tanaka methods.

MSC:
74A15 Thermodynamics in solid mechanics
74E30 Composite and mixture properties
74G70 Stress concentrations, singularities in solid mechanics
74B99 Elastic materials
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