A new stable inverse method for identification of the elastic constants of a three-dimensional generally anisotropic solid

M. R. Hematiyan, A. Khosravifard, Y. C. Shiah

研究成果: Article同行評審

16 引文 斯高帕斯(Scopus)

摘要

This article presents a new approach for inverse identification of all elastic constants of a 3D generally anisotropic solid with arbitrary geometry via measured strain data. To eradicate the nonlinear inequality constraints posed on the elastic constants, the problem is first transformed to an unconstrained one by the Cholesky factorization theorem. The cost function is defined by the Tikhonov regularization method, and the inverse problem is solved using the damped Gauss-Newton technique, where a meshless method is employed for the direct and sensitivity analyses. To demonstrate the effectiveness of the proposed approach, several examples are presented in the end, where all experimental data are numerically simulated. Analyses of these examples show that all twenty-one elastic constants of an example material can be correctly identified even when measurement errors are relatively large and initial guesses are far from exact values.

原文English
頁(從 - 到)240-250
頁數11
期刊International Journal of Solids and Structures
106-107
DOIs
出版狀態Published - 2017 二月 1

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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