Stress singularities along a cycloid rough surface
type: Item
instance of: scholarly article
title: Stress singularities along a cycloid rough surface
zbMATH Open document ID: 0797.73004
DOI: 10.1016/0020-7683(93)90208-O
author: Cheng-Hsin Chiu
author: Huajian Gao
published in: International Journal of Solids and Structures
publication date: 1994-01-02T00:00:00Z
review text: The authors consider the problem of a cycloid wavy surface under a uniform bulk stress. Using the conformal mapping method to find the stress and displacement fields, they show that a cusped cycloid induces crack-like singular stresses near the surface, and that the strain energy assumes a Dirac distribution concentrated at the cusp. The analytic solutions derived may be of help in numerical computations associated with the evolution process.
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 474862
zbMATH Keywords: uniform bulk stress
zbMATH Keywords: conformal mapping method
zbMATH Keywords: cusped cycloid
zbMATH Keywords: strain energy
zbMATH Keywords: Dirac distribution
reviewed by: C. Constanda
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90208-o
OpenAlex ID: W2071853286
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description: scientific article; zbMATH DE number 474862