Abstract
We present a formulation for the non associated constitutive laws based on a generalization of Fenchel’s inequality and the concept of bipotential. Then, the normality rule appears as an implicit relation between dual variables. Examples of applications to the plasticity of soils and rocks, the cyclic plasticity of metals, the frictional contact and the plasticity with damage are presented.
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© 2002 Springer-Verlag Wien
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de Saxcé, G., Bousshine, L. (2002). Implicit Standard Materials. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_4
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DOI: https://doi.org/10.1007/978-3-7091-2558-8_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83687-3
Online ISBN: 978-3-7091-2558-8
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