4.2 Article

Characteristics of testing conditions for constitutive models in metal plasticity

Journal

JOURNAL OF ENGINEERING MATHEMATICS
Volume 88, Issue 1, Pages 99-119

Publisher

SPRINGER
DOI: 10.1007/s10665-013-9681-2

Keywords

Automatic differentiation; Constitutive modelling; Hyperelastic-plasticity; Model identification; Optimization

Funding

  1. German Research Foundation (DFG) through the cluster of excellence [EXC128, HE5386/8-1]
  2. RWTH Aachen University through ERS Seedfunds

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We propose a method of identifying constitutive models and material parameters in engineering applications. The presented method is used in the setting of optimal experimental design and is based on successive optimization of a finite set of possible material models. The goal is, for an initially unknown material, to define an optimal test bed based on a given set of constitutive models and a range of possible parameters. As a result of the algorithm, suitable observation operators and external loads are identified. These are then the optimal experimental conditions under which the parameters of the unknown material are tested.

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