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Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Applications

Published online by Cambridge University Press:  08 July 2016

Bin Chen ,
Wen Chen  and
Xing Wei
Bin Chen
Affiliation:
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
Wen Chen*
Affiliation:
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
Xing Wei
Affiliation:
College of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China
*
*Corresponding author. Email:chenwen@hhu.edu.cn (W. Chen)
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Abstract

This article addresses the resolution of the inverse problem for the parameter identification in orthotropic materials with a number of measurements merely on the boundaries. The inverse problem is formulated as an optimization problem of a residual functional which evaluates the differences between the experimental and predicted displacements. The singular boundary method, an integration-free, mathematically simple and boundary-only meshless method, is employed to numerically determine the predicted displacements. The residual functional is minimized by the Levenberg-Marquardt method. Three numerical examples are carried out to illustrate the robustness, efficiency, and accuracy of the proposed scheme. In addition, different levels of noise are added into the boundary conditions to verify the stability of the present methodology.

Keywords

Inverse problemsparameter identificationmeshless methodsingular boundary methodLevenberg-Marquardt method

MSC classification

Secondary: 62P30: Applications in engineering and industry 65M32: Inverse problems 65K05: Mathematical programming methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 5 , October 2016 , pp. 810 - 826
Copyright
Copyright © Global-Science Press 2016 

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