Simultaneous determination of the strain hardening exponent, the shear modulus and the elastic stress limit in an inverse problem

Tatar, Salih; Tinaztepe, Ramazan; Muradoğlu, Zahir

doi:10.1016/j.apm.2016.02.028

Cited by 2 publications

(1 citation statement)

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“…Mamedov (1995) predicted the elastoplastic properties of a cylindrical bar based on the relation between torsional moments and torsion angles. The semi-analytic inversion method was modified to determine the yield stress (Tatar and Muradoglu, 2014), and simultaneously identify the strain hardening exponent, the shear modulus, as well as the elastic stress limit (Tatar et al, 2016). The effective method is accurate, even with various noise levels.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous identification of multi-parameter for power hardening elastoplastic problems in three-dimensional geometries

Zhang

Mei

Bai

et al. 2022

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PurposeThe purpose of this study is to simultaneously determine the constitutive parameters and boundary conditions by solving inverse mechanical problems of power hardening elastoplastic materials in three-dimensional geometries.Design/methodology/approachThe power hardening elastoplastic problem is solved by the complex variable finite element method in software ABAQUS, based on a three-dimensional complex stress element using user-defined element subroutine. The complex-variable-differentiation method is introduced and used to accurately calculate the sensitivity coefficients in the multiple parameters identification method, and the Levenberg–Marquardt algorithm is applied to carry out the inversion.FindingsNumerical results indicate that the complex variable finite element method has good performance for solving elastoplastic problems of three-dimensional geometries. The inversion method is effective and accurate for simultaneously identifying multi-parameters of power hardening elastoplastic problems in three-dimensional geometries, which could be employed for solving inverse elastoplastic problems in engineering applications.Originality/valueThe constitutive parameters and boundary conditions are simultaneously identified for power hardening elastoplastic problems in three-dimensional geometries, which is much challenging in practical applications. The numerical results show that the inversion method has high accuracy, good stability, and fast convergence speed.

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Section: Introductionmentioning

confidence: 99%