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Title: | Consistent tangent matrices for substepping schemes |
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Author: | Pérez Foguet, Agustí; Rodríguez Ferran, Antonio; Huerta, Antonio |
Other authors: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract: | CIMNE - PI 174 |
Abstract: | A very simple and general expression of the consistent tangent matrix for substep- ping time-integration schemes is presented. If needed, the derivatives required for the computation of the consistent tangent moduli can be obtained via numerical dif- ferentiation. These two strategies (substepping and numerical differentiation) lead to quadratic convergence in complex nonlinear inelasticity problems. |
Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits -Finite element method -Numerical analysis -Finite element method -computational plasticity -quadratic convergence -substepping -numerical differentiation -nonlinear problems -Elements finits, Mètode dels -Anàlisi numèrica |
Rights: | Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type: | Article - Draft Report |
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