Consistent tangent matrices for substepping schemes
A very simple and general expression of the consistent tangent matrix for substepping time-integration schemes is presented. If needed, the derivatives required for the computation of the consistent tangent moduli can be obtained via numerical differentiation. These two strategies (substepping and n...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8498 |
| Acceso en línea: | https://hdl.handle.net/2117/8498 https://dx.doi.org/10.1016/S0045-7825(00)00336-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Plasticity--Mathematical models Finite element method Computational plasticity Quadratic convergence Substepping Numerical differentiation Nonlinear problems Elements finits, Mètode dels Plasticitat -- Mètodes numèrics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Sumario: | A very simple and general expression of the consistent tangent matrix for substepping time-integration schemes is presented. If needed, the derivatives required for the computation of the consistent tangent moduli can be obtained via numerical differentiation. These two strategies (substepping and numerical differentiation) lead to quadratic convergence in complex nonlinear inelasticity problems. |
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