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

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)240-250
Number of pages11
JournalInternational Journal of Solids and Structures
Volume106-107
DOIs
Publication statusPublished - 2017 Feb 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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