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The finite expansion of a circular hole in an infinite plate: A dynamic solution

Authors
Journal
International Journal of Mechanical Sciences
0020-7403
Publisher
Elsevier
Publication Date
Volume
17
Issue
1
Identifiers
DOI: 10.1016/0020-7403(75)90060-0

Abstract

Abstract The problem of dynamic expansion of a finite circular hole in an infinite plate, of uniform initial thickness, in a state of plane stress is worked out by solving the equation of motion. A numerical solution is obtained for a strain-hardening material using (i) a continuous three-parameter stress-strain relation and (ii) Nadai's J 2- deformation theory of plasticity. The solution is obtained by the method of characteristics for both ramp velocity and ramp pressure prescribed at the hole boundary.

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