An inverse analysis approach to identify the elastic-plastic stress-strain relationship using a nonlinear sensitivity analysis (2nd report, identification of changing material properties in inhomogeneous materials)

Hiroshi Okada, Yasuyoshi Fukui, Noriyoshi Kumazawa

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In this paper, an inverse analysis method to identify the nonlinear material behavior of solid, using a nonlinear sensitivity analysis, is presented. The proposed methodology can be applied to estimate the "stress-strain relationships of various types of materials. The nonlinear sensitivity analysis methodology, which does not require repetitive analyses for general nonlinear problems to calculate the sensitivity of the solution to the variation of material constants, stress-strain relationship, etc., forms a basis of the material behavior identification procedure, by combining with a nonlinear programming algorithm. The identification problem is defined to be a minimization problem, by choosing an appropriate objective function, which represents the deviation of result of finite element analysis from experimentally measured displacement field and applied loads. The procedure is constructed to be quite general, so that it can be applied to a wide range of material behavior identification problems, such as stress-strain curve, changing material properties, etc. In the previous authors' article, the identification problem of stress-strain curve was successfully completed and a possibility of simplifying experimental procedure in obtaining stress-strain curve was suggested. In this paper, the proposed methodology is applied to internally changing material property determination problems.

Original languageEnglish
Pages (from-to)1209-1215
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number634
Publication statusPublished - 1 Jan 1999


  • Finite element method
  • Inelasticity
  • Inverse problem
  • Nonlinear problem

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