Numerical differentiation for local and global tangent operators in computational plasticity
Document typeExternal research report
Rights accessOpen Access
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.
CIMNE - PI 144
CitationPérez-Foguet, A.; Rodriguez, A.; Huerta, A. "Numerical differentiation for local and global tangent operators in computational plasticity". 1998.
Is part ofCIMNE - PI 144