The singular wedge problem in the nonlinear elastostatic plane stress theory

Author:
Angelo Marcello Tarantino

Journal:
Quart. Appl. Math. **57** (1999), 433-451

MSC:
Primary 74B20; Secondary 74G70

DOI:
https://doi.org/10.1090/qam/1704455

MathSciNet review:
MR1704455

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Abstract | References | Similar Articles | Additional Information

Abstract: A finite elastostatic analysis of the singular equilibrium field in the proximity of the apex of a wedge, with clamped-free radial edges and general far-field loading conditions, is performed. The problem is formulated for compressible hyperelastic sheets under a plane stress condition. An asymptotic procedure is proposed to compute the deformation and stress singular fields. Emphasis is placed on the investigation of the dependence of the order of singularity in the asymptotic Piola-Kirchhoff and Cauchy stresses on the wedge angles. The case of a half-plane bounded to a rigid substrate is studied in detail.

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DOI:
https://doi.org/10.1090/qam/1704455

Article copyright:
© Copyright 1999
American Mathematical Society