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

Abstract

Purpose

The 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/approach

The 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.

Findings

Numerical 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/value

The 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.

Citation

Zhang, C., Mei, J., Bai, Y., Cui, M., Peng, H. and Gao, X.W. (2022), "Simultaneous identification of multi-parameter for power hardening elastoplastic problems in three-dimensional geometries", Engineering Computations, Vol. 39 No. 8, pp. 2990-3011. https://doi.org/10.1108/EC-12-2021-0733