Numerical differentiation for local and global tangent operators in computational plasticity
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Tipus de documentReport de recerca
Data publicació1998-09
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper, numerical differentiation is applied to integrate plastic constitutive
laws and to compute the corresponding consistent tangent operators. The deriva-
tivesoftheconstitutive equationsareapproximatedbymeansofdifferenceschemes.
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 an-
alytical derivatives. Quadratic convergence is maintained, provided that adequate
schemes and stepsizes are chosen. This point is illustrated by means of some nu-
merical examples.
Descripció
CIMNE - PI 144
CitacióPérez-Foguet, A.; Rodriguez, A.; Huerta, A. "Numerical differentiation for local and global tangent operators in computational plasticity". 1998.
Forma partCIMNE - PI 144
URL repositori externhttp://www.cimne.com/tiendacimne/ver_libro.asp?id_prod=308
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