A new exact integration method for the Drucker–Prager elastoplastic model with linear isotropic hardening |
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Authors: | László Szabó Attila Kossa |
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Institution: | Department of Applied Mechanics, Budapest University of Technology and Economics, H-1111 Budapest, Müegyetem rkp. 5, Hungary |
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Abstract: | This paper presents the exact stress solution of the non-associative Drucker–Prager elastoplastic model governed by linear isotropic hardening rule. The stress integration is performed under constant strain-rate assumption and the derived formulas are valid in the setting of small strain elastoplasticity theory. Based on the time-continuous stress solution, a complete discretized stress updating algorithm is also presented providing the solutions for the special cases when the initial stress state is located in the apex and when the increment produces a stress path through the apex. Explicit expression for the algorithmically consistent tangent tensor is also derived. In addition, a fully analytical strain solution is also derived for the stress-driven case using constant stress-rate assumption. In order to get a deeper understanding of the features of these solutions, two numerical test examples are also presented. |
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