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.

The singular wedge problem in the nonlinear elastostatic plane stress theory / Tarantino, Angelo Marcello. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - STAMPA. - 57:(1999), pp. 433-451.

The singular wedge problem in the nonlinear elastostatic plane stress theory

TARANTINO, Angelo Marcello
1999

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.
1999
57
433
451
The singular wedge problem in the nonlinear elastostatic plane stress theory / Tarantino, Angelo Marcello. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - STAMPA. - 57:(1999), pp. 433-451.
Tarantino, Angelo Marcello
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/303773
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