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On Anisotropy at the Actual Configuration and the Adequate Formulation of a Free Energy Function

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IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 39))

Abstract

Induced anisotropy is a phenomenon of great interest especially when large continuum elasto-viscoplastic deformations are considered. An initially isotropic continuum can exhibit, as the deformation evolves, stress or deformation induced anisotropies. Accordingly, the kind of anisotropy one is given is defined with respect to the actual configuration and not with respect to the initial one. Hence, it is motivated to discuss the conditions under which the formulation of a free energy function in terms of spatial strain tensors is admissible.

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© 1995 Springer Science+Business Media Dordrecht

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Sansour, C. (1995). On Anisotropy at the Actual Configuration and the Adequate Formulation of a Free Energy Function. In: Parker, D.F., England, A.H. (eds) IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics. Solid Mechanics and Its Applications, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8494-4_6

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  • DOI: https://doi.org/10.1007/978-94-015-8494-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4589-8

  • Online ISBN: 978-94-015-8494-4

  • eBook Packages: Springer Book Archive

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