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THE SINGULAR WEDGE PROBLEM IN THE NONLINEAR ELASTOSTATIC PLANE STRESS THEORY

ANGELO MARCELLO TARANTINO
Quarterly of Applied Mathematics
Vol. 57, No. 3 (September 1999), pp. 433-451
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43638298
Page Count: 19
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
THE SINGULAR WEDGE PROBLEM IN THE NONLINEAR ELASTOSTATIC PLANE STRESS THEORY
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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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