Abstract
Most theories within plasticity are based on the notion of an unstressed configuration that is taken as a reference configuration for the elastic law which determines the stresses. The method of introducing this configuration, however, has been controversially discussed for more than 20 years. There were the suggestions by Green and Naghdi [8, 9] of an additive decomposition of the right Cauchy-Green tensor, and by Lee [11] of a multiplicative decomposition of the deformation gradient. Of course, in all of these theories the decomposition is a constitutive assumption which has strong consequences on the range of applicability of such theories. Unfortunately, these consequences are not easy to investigate, as there is still no general framework available within which all these different theories can be imbedded and thereafter compared.
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Bertram, A., Kraska, M. (1995). Description of Finite Plastic Deformations in Single Crystals by Material Isomorphisms. 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_11
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DOI: https://doi.org/10.1007/978-94-015-8494-4_11
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