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Bounds on stress concentration factors in finite anti-plane shear

โœ Scribed by R. Abeyaratne; C. O. Horgan

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
562 KB
Volume
13
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

This paper provides an analytical approach for obtaining bounds on elastic stress concentration factors in the theory of finite anti-plane shear of homogeneous, isotropic, incompressible materials. The problem of an infinite slab with traction-free circular cavity subject to a state of f'mite simple shear deformation is considered. Explicit estimates are obtained for the maximum shearing stress in terms of the applied stress at intrmity and constitutive parameters. The analysis is based on application of maximum principles for second-order quasilinear uniformly elliptic equations.

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