A new exact integration method for the Drucker–Prager elastoplastic model with linear isotropic hardening
| Autor: | László Szabó, Attila Kossa |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Discretization
Stress path Linear isotropic hardening Applied Mathematics Mechanical Engineering Mathematical analysis Tangent Geometry Expression (computer science) Condensed Matter Physics Stress (mechanics) Drucker–Prager elastoplasticity Exact time integration Drucker–Prager yield criterion Materials Science(all) Mechanics of Materials Modelling and Simulation Modeling and Simulation Consistent tangent tensor General Materials Science Tensor Constant (mathematics) Mathematics |
| Zdroj: | International Journal of Solids and Structures. 49:170-190 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2011.09.021 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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