A Variational Method for Recovering Planar Lamé Moduli-Reference-Cited by-同舟云学术

A Variational Method for Recovering Planar Lamé Moduli

Published:2002-04 Issue:2 Volume:7 Page:191-202
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Chen Jun¹,Gockenbach Mark S.²

Affiliation:

1. Department of Mathematics, Northwestern University, Evanston, IL, USA

2. Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, USA

Abstract

For a planar, isotropic, linearly elastic square solid, the Lamé moduli are determined by the displacement under a known edge traction, assuming the displacement satisfies a particular non-degeneracy condition. Estimates of the moduli are derived by minimizing a functional and an error bound for the estimated moduli is given.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286502007002221

Reference9 articles.

1. Inequalities in Mechanics and Physics

2. Recovering Planar Lame Moduli from a Single-Traction Experiment

3. Global uniqueness for an inverse boundary problem arising in elasticity

4. Error estimates for the numerical identification of a variable coefficient

5. An Inverse Problem for the Steady State Diffusion Equation

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