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 deri...
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.
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.
Citation
Pérez-Foguet, A.; Rodriguez, A.; Huerta, A. "Numerical differentiation for local and global tangent operators in computational plasticity". 1998.