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Statics of a Geometrically Linear Elastic Body

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Book cover Variational Principles of Continuum Mechanics

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

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Abstract

Gibbs principle. Equilibrium of elastic bodies is governed by Gibbs variational principles. We will use as a starting point the second Gibbs principle. We assume that the positions of the boundary particles are given at some part of the boundary, \(\partial \mathop {V_u }\limits^ \circ \)

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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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© 2009 Springer-Verlag Berlin Heidelberg

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Berdichevsky, V. (2009). Statics of a Geometrically Linear 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_6

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  • DOI: https://doi.org/10.1007/978-3-540-88467-5_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88466-8

  • Online ISBN: 978-3-540-88467-5

  • eBook Packages: EngineeringEngineering (R0)

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