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Degenerate Scale Problem for a Hypocycloid Hole in an Infinite Plate in Plane Elasticity

Published online by Cambridge University Press:  06 June 2016

Y.-Z. Chen
Y.-Z. Chen*
Affiliation:
Division of Engineering Mechanics Jiangsu University Jiangsu, China
*
*Corresponding author ([email protected])
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Abstract

Based on the conformal mapping, this paper provides a closed form solution for the degenerate scale of the hypocycloid hole in plane elasticity. In the derivation, we assume the vanishing displacements along the boundary in the degenerate scale problem. Some functions in the boundary condition are decomposed into three parts with particular behavior. Even the displacements are vanishing along the boundary of an exterior region, the displacements and stresses are not equal to zero in the exterior region. This is a particular feature in the degenerate scale problem.

Keywords

Degenerate scale problemConformal mapping techniqueClosed form solution
Type
Technical Note
Information
Journal of Mechanics , Volume 32 , Issue 4 , August 2016 , pp. N7 - N10
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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