Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Some estimates for the maximum shear stress in plane, isotropic elasticity

Author: M. Aron
Journal: Quart. Appl. Math. 52 (1994), 545-551
MSC: Primary 73C50; Secondary 73G05
DOI: https://doi.org/10.1090/qam/1292204
MathSciNet review: MR1292204
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Abstract: Upper and lower bounds for the maximum shear stress in a configuration corresponding to a purely distortional deformation originating from a given undistorted (ground) state are obtained in the framework of plane, isotropic, nonlinear elasticity. The bounds are shown to be expressible in terms of the deformation and the boundary traction that is required for maintaining the purely dilatational deformation in the ground state.

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DOI: https://doi.org/10.1090/qam/1292204
Article copyright: © Copyright 1994 American Mathematical Society

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