A model reduction technique based on the PGD for elastic-viscoplastic computational analysis. (English) Zbl 1398.74474
Summary: In this paper a model reduction approach for elastic-viscoplastic evolution problems is considered. Enhancement of the PGD reduced model by a new iterative technique involving only elastic problems is investigated and allows to reduce CPU cost. The accuracy of the solution and convergence properties are tested on an academic example and a calculation time comparison with the commercial finite element code Abaqus is presented in the case of an industrial structure.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N99 | Numerical methods for partial differential equations, boundary value problems |
| 65N15 | Error bounds for boundary value problems involving PDEs |
Software:
ABAQUSReferences:
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