Analytic Differentiation of Barlat’s 2D Criteria for Inverse Modeling

Endelt, Benny Ørtoft; Nielsen, Kjeld; Danckert, Joachim

doi:10.1063/1.2011318

Cited by 2 publications

(2 citation statements)

References 16 publications

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“…To overcome this inconvenient, Endelt et al [63,64] and Cooreman [62] highlighted the possibility of computing the sensitivity matrix analytically, with the latter author having concluded the inability of this approach for computing the sensitivities of strain fields to the material parameters, in mechanical tests involving complex and/or heterogeneous deformation.…”

Section: Optimization Algorithmsmentioning

confidence: 99%

Inverse Strategies for Identifying the Parameters of Constitutive Laws of Metal Sheets

Prates

Pereira

Сахарова

et al. 2016

Advances in Materials Science and Engineering

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This article is a review regarding recently developed inverse strategies coupled with finite element simulations for the identification of the parameters of constitutive laws that describe the plastic behaviour of metal sheets. It highlights that the identification procedure is dictated by the loading conditions, the geometry of the sample, the type of experimental results selected for the analysis, the cost function, and optimization algorithm used. Also, the type of constitutive law (isotropic and/or kinematic hardening laws and/or anisotropic yield criterion), whose parameters are intended to be identified, affects the whole identification procedure.

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Section: Optimization Algorithmsmentioning

confidence: 99%

Inverse Strategies for Identifying the Parameters of Constitutive Laws of Metal Sheets

Prates

Pereira

Сахарова

et al. 2016

Advances in Materials Science and Engineering

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“…Some authors proposed alternative methods for computing the sensitivities, within the context of inverse identification strategies, mainly to overcome the potentially high computational costs associated with the use of finite differences. Endelt and Nielsen (2004), Endelt et al (2005), Endelt and Danckert (2009), Cooreman (2008) and Cooreman et al (2007) explored the possibility of analytically calculating the sensitivity matrix for the inverse identification of the yield criterion and hardening law parameters. Endelt and co-authors proposed a general approach for the inverse identification of material parameters based on global measurements (i.e.…”

Section: Introductionmentioning

confidence: 99%

Analytical sensitivity matrix for the inverse identification of hardening parameters of metal sheets

Prates

Pereira

Oliveira

et al. 2019

European Journal of Mechanics - A/Solids

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An analytical approach is proposed for calculating the sensitivity matrix in inverse gradient-based optimization problems, enabling the identification of the isotropic and kinematic hardening laws parameters of metal sheets. The approach was tested for inverse identification problems involving the circular bulge test, the biaxial tensile test on a cruciform specimen and the reverse shear test, and compared with forward finite differences. The proposed strategy proved to be accurate and an expeditious alternative to the use of finite differences for computing the Jacobian matrix, in case the objective function is defined using global variables such as pressure and force.

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Analytic Differentiation of Barlat’s 2D Criteria for Inverse Modeling

Cited by 2 publications

References 16 publications

Inverse Strategies for Identifying the Parameters of Constitutive Laws of Metal Sheets

Inverse Strategies for Identifying the Parameters of Constitutive Laws of Metal Sheets

Analytical sensitivity matrix for the inverse identification of hardening parameters of metal sheets

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