Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Author:

Guhr Fabian1,Barthold Franz-Joseph1

Affiliation:

1. Structural Mechanics TU Dortmund University August-Schmidt-Str. 8 D-44227 Dortmund Germany

Abstract

AbstractSensitivity analysis is applied to a regularised non‐local ductile damage model. A variational approach is utilised to derive the analytical gradients of different objectives with respect to either geometrical of material parameters. Due to the definition of the material model, enhanced algorithmic treatments are necessary to capture its history dependent nature within the sensitivity computation. The gradient information with respect to the geometrical parameters are used to derive damage tolerant geometries in shape optimisation using Sequential Quadratic Programming (SQP). The sensitivities with respect to the material parameters are used to analyse the response and impact of certain material parameters of the model during loading and unloading of a specimen.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

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