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Title:
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Numerical differentiation for local and global tangent operators in computational plasticity.
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Author:
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Pérez Foguet, Agustí; Rodríguez Ferran, Antonio; Huerta, Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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In this paper, numerical differentiation is applied to integrate plastic constitutive laws and to compute the corresponding consistent tangent operators. The derivatives of the constitutive equations are approximated by means of difference schemes. These derivatives are needed to achieve quadratic convergence in the integration at Gauss-point level and in the solution of the boundary value problem. Numerical differentiation is shown to be a simple, robust and competitive alternative to analytical derivatives. Quadratic convergence is maintained, provided that adequate schemes and stepsizes are chosen. This point is illustrated by means of some numerical examples. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Plasticity--Mathematical models
-Finite element method
-Finite element method
-Consistent tangent operators
-Numerical differentiation
-Difference schemes
-Quadratic convergence
-Plasticitat -- Mètodes numèrics
-Elements finits, Mètode dels |
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Rights:
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Document type:
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Article - Submitted version
Article |
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