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Mathematics and Mechanics of Solids
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Recovering Planar Lame Moduli from a Single-Traction Experiment

Steven J. Cox

Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005

Mark Gockenbach

Department of Mathematics, University of Michigan, Ann Arbor; MI 48109

Under a simple nondegeneracy condition, the displacement and edge traction of a planar, isotropic, linearly elastic solid determine its Lame moduli. When these moduli are constant, they can be recovered exactly; this is demonstrated by a specific traction satisfying the nondegeneracy condition. Spatially varying moduli can be computed numerically by considering the equations of linear elasticity as a hyperbolic system for the unknown moduli. A stable finite difference scheme for solving this system is given; synthetic experiments demonstrate its efficacy.

Mathematics and Mechanics of Solids, Vol. 2, No. 3, 297-306 (1997)
DOI: 10.1177/108128659700200304
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