The Material Parameter Identification for Functionally Graded Materials by the Isoparametric Graded Finite Element

Abstract:

A material parameter identification method is proposed for functionally graded materials (FGMs) which are modeled by the isoparametric graded finite elements (IGFE). The material parameter identification problem is formulated as the problem of minimizing the objective function defined as a square sum of differences between the measured displacement and the computed displacement by the IGFE. Levenberg-Marquardt optimization method, in which the sensitivity analysis of displacements with respect to the material parameters is based on the finite difference approximation method, is used to solve the minimization problem. Numerical example is given to illustrate the validity of the proposed method for parameter identification.

• Periodical: Advanced Materials Research (Volumes 446-449)
• Pages: 3609-3614
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.446-449.3609
• Online since: January 2012
• Authors: Li Xin Huang, Lin Wang, Yue Chen, Qi Yao, Xiao Jun Zhou
• Keywords: Functionally Graded Material (FGM), Isoparametric Graded Finite Element, Levenberg-Marquardt Optimization Method, Parameter Identification

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