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Use and Abuse of the Method of Virtual Power in Generalized Continuum Mechanics and Thermodynamics

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Part of the Advanced Structured Materials book series (STRUCTMAT,volume 89)

Abstract

The method of virtual power, put forward by Paul Germain and celebrated by Gérard A. Maugin, is used (and abused) in the present work in combination with continuum thermodynamics concepts in order to develop generalized continuum, phase field, higher order temperature and diffusion theories. The systematic and effective character of the method is illustrated in the case of gradient and micromorphic plasticity models. It is then tentatively applied to the introduction of temperature and concentration gradient effects in diffusion theories leading to generalized heat and mass diffusion equations.

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Forest, S. (2018). Use and Abuse of the Method of Virtual Power in Generalized Continuum Mechanics and Thermodynamics. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_16

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  • DOI: https://doi.org/10.1007/978-3-319-72440-9_16

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