Abstract
My aim is to explore some ideas about the foundations of electromagnetic theory for elastic materials and to suggest some ways of assessing theories of this kind. I will describe some old ideas that seem to have been forgotten, about forces exerted by matter and fields on each other, and a similar idea about energies. Among other things, I will trace Toupin’s thinking about elastic dielectrics, showing how he moved toward using these ideas, although he did not explicitly recognize them. Further, I will explain how his dynamical theory can be interpreted to be consistent with them, although this is not obvious from what he wrote.
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Dedicated to the memory of Ronald Rivlin.
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Ericksen, J.L. On Formulating and Assessing Continuum Theories of Electromagnetic Fields in Elastic Materials. J Elasticity 87, 95–108 (2007). https://doi.org/10.1007/s10659-006-9095-8
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DOI: https://doi.org/10.1007/s10659-006-9095-8