Consistent tangent operator for cutting-plane algorithm of elasto-plasticity. (English) Zbl 1296.74016
Summary: The paper presents a derivation of the consistent tangent operator (CTO) for the cutting-plane algorithm (CPA). For a class of plasticity models that are suitable to be integrated using CPA, an explicit recursive expression is analytically derived and is updated in each iteration of the CPA integration procedure to yield the final value of the CTO when the CPA is converged.
MSC:
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74D10 | Nonlinear constitutive equations for materials with memory |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
constitutive equations; numerical integration; consistent tangent operator; cutting-plane algorithm; YLD2004; UMATSoftware:
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