Parameter identification for nonlinear elastic and viscoelastic plates

被引：13

作者：

Kim, S.

Kreider, K. L. ^{[1
]}

机构：

[1] Univ Akron, Dept Theoret & Appl Math, Akron, OH 44325 USA

[2] Kangnam Univ, Dept Appl Math, Yongin, Gyeonggi Do, South Korea

来源：

APPLIED NUMERICAL MATHEMATICS | 2006年 / 56卷 / 12期

关键词：

parameter identification; nonlinear elastic plates; nonlinear viscoelastic plates; inverse problem;

D O I：

10.1016/j.apnum.2005.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Parameter identification is studied in nonlinear elastic and viscoelastic plates by solving an inverse problem numerically. The material properties of the plate, which appear in the constitutive relations, are recovered by optimizing an objective function constructed from reference strain data. The resulting inverse algorithm consists of an optimization algorithm coupled with a corresponding direct algorithm that computes the strain fields given a set of material properties. Numerical results are presented for a variety of constitutive models; they indicate that the methodology works well even with noisy data. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1538 / 1554

页数：17

共 24 条

[1] An improved hyperelasticity relation in modeling viscoelasticity response of natural and high damping rubbers in compression: experiments, parameter identification and numerical verification [J].