30 March 2010 New unifying concepts for modeling smart materials
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Material modeling techniques for active materials include a broad number of approaches that are often focused on predicting a specific field-coupled constitutive relation. This field-coupled material behavior may include electro-mechanical, magnetostrictive, thermal or light induced phase transformations, or ionic deformation. Limited work has been conducted on developing a unified theory. Such theories are useful for quantifying underlying field-coupled mechanics concepts that may otherwise be neglected in phenomenological models. The theoretical approach presented here employs nonlinear continuum mechanics coupled to a set of microscale order parameters that describe microstructure evolution and phase changes. Unifying concepts are obtained which illustrate how material constants such as piezoelectric coefficients depend on the choice of the order parameter and mechanical energy function without introducing explicit phenomenological coupling parameters.
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William S. Oates, William S. Oates, "New unifying concepts for modeling smart materials", Proc. SPIE 7644, Behavior and Mechanics of Multifunctional Materials and Composites 2010, 764406 (30 March 2010); doi: 10.1117/12.847550; https://doi.org/10.1117/12.847550


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