Material parameter identification in functionally graded structures using isoparametric graded finite element model
- Resource Type
- article
- Authors
- Huang Lixin; Yang Ming; Zhou Xiaojun; Yao Qi; Wang Lin
- Source
- Science and Engineering of Composite Materials, Vol 23, Iss 6, Pp 685-698 (2016)
- Subject
- functionally graded materials
isoparametric graded finite element
levenberg-marquardt method
material parameter identification
sensitivity analysis
Materials of engineering and construction. Mechanics of materials
TA401-492
- Language
- English
- ISSN
- 0792-1233
2191-0359
An identification algorithm based on an isoparametric graded finite element model is developed to identify the material parameters of the plane structure of functionally graded materials (FGMs). The material parameter identification problem is formulated as the problem of minimizing the objective function, which is defined as a square sum of differences between measured displacement and calculated displacement by the isoparametric graded finite element approach. The minimization problem is solved by using the Levenberg-Marquardt method, in which the sensitivity calculation is based on the differentiation of the governing equations of the isoparametric graded finite element model. The validity of this algorithm is illustrated by some numerical experiments. The numerical results reveal that the proposed algorithm not only has high accuracy and stable convergence, but is also robust to the effects of measured displacement noise.