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The penny-shaped crack problem for a finitely deformed incompressible elastic solid

โœ Scribed by A. P. S. Selvadurai

Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
318 KB
Volume
16
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

In this paper the theory of small deformations superposed on large is used to examine the axisymmetric problem of a penny-shaped crack located in an incompressible elastic infinite solid which is subjected to a uniform finite radial stretch. The small axisymmetric deformations are due to a uniform stress applied in the axial direction. Formal integral expressions are derived for the displacements and stresses in the elastic solid. An exact expression is developed for critical stress necessary for the propagation of a penny-shaped crack in a finitely deformed elastic solid.

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