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Statics of a Geometrically Nonlinear Elastic Body

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Variational Principles of Continuum Mechanics

Part of the book series: Interaction of Mechanics and Mathematics ((IMM))

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Abstract

In the geometrically nonlinear case, displacements and their gradients are not small. The major new feature which that brings into the theory is non-convexity of the energy functional.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA

    V.L. Berdichevsky (Professor of Mechanics)

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  1. V.L. Berdichevsky
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Correspondence to V.L. Berdichevsky .

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Berdichevsky, V. (2009). Statics of a Geometrically Nonlinear Elastic Body. In: Variational Principles of Continuum Mechanics. Interaction of Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88467-5_7

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  • DOI: https://doi.org/10.1007/978-3-540-88467-5_7

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  • Print ISBN: 978-3-540-88466-8

  • Online ISBN: 978-3-540-88467-5

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