Abstract
An elastic-plastic constitutive model is essentially based on the decomposition of the deformation into elastic and plastic parts, with the corresponding equations relating the elastic strain and plastic strain rate to appropriate stress tensors. For large strain formulation, the identification of these dual stress tensors is an important problem which has always been an important issue. The purpose of the present paper is to present an overview of the past 30 years of research in this field with duality as a guideline. It will be emphasised that each progress has resulted from an extended interpretation of the same initial kinematic framework completed by a duality analysis to obtain the elastic law and the dual stress tensor to be used in the plastic flow rule. Some alternative models to the main trend will also be suggested.
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Sidoroff, F., Dogui, A. (2000). Thermodynamics and duality in finite elastoplasticity. In: Maugin, G.A., Drouot, R., Sidoroff, F. (eds) Continuum Thermomechanics. Solid Mechanics and Its Applications, vol 76. Springer, Dordrecht. https://doi.org/10.1007/0-306-46946-4_30
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DOI: https://doi.org/10.1007/0-306-46946-4_30
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