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Modeling of the processes of monotonic deformation of simple materials with elastoplastic behavior

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Abstract

We construct physical equations modeling the processes of active monotonic deformation by specializing the well-known general determining relations for simple, in Noll's sense, hardening materials with elastoplastic behavior. We assume that strains and the type of symmetry of the properties of materials are arbitrary. For finite and infinitesimal strains, we study the reaction of isotropic bodies in detail. We show under what conditions the constructed relations can be reduced to the equations of active proportional deformation considered by the author somewhat earlier.

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Authors
  1. P. P. Lepikhin
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Additional information

Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 6, pp. 35–41, November–December, 1999.

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Lepikhin, P.P. Modeling of the processes of monotonic deformation of simple materials with elastoplastic behavior. Strength Mater 31, 548–552 (1999). https://doi.org/10.1007/BF02510889

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  • DOI: https://doi.org/10.1007/BF02510889

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