Plastic Zone around Circular Holes

In 1946, L. A. Galin proposed an ingenious solution to the problem of analytically determining the plastic region completely surrounding a circular hole in a thin initially elastic plate subject to tensile stress at infinity. The results of Galin’s analysis are recovered by a simple collocation, pro...

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Bibliographic Details
Published inJournal of engineering mechanics Vol. 135; no. 12; pp. 1467 - 1471
Main Authors Leitman, M. J, Villaggio, P
Format Journal Article
LanguageEnglish
Published Reston, VA American Society of Civil Engineers 01.12.2009
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
TECHNICAL NOTES
Inelasticity
Hole
Elastoplasticity
Thin plate
Holes
Plastics
Plasticity zone
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Summary:In 1946, L. A. Galin proposed an ingenious solution to the problem of analytically determining the plastic region completely surrounding a circular hole in a thin initially elastic plate subject to tensile stress at infinity. The results of Galin’s analysis are recovered by a simple collocation, provided an elliptical elastic-plastic boundary is assumed. This elementary procedure is then applied to treat the case, unresolvable by Galin’s method, in which the plastic domain does not completely surround the hole.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0000062