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From the rectangular hole to the ideal crack
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1989
(EN)
EKT historical period
Title
From the rectangular hole to the ideal crack (EN)
Creator
Theocaris, PS (EN)
Petrou, L (EN)
Description
The problem of a rectangular hole in an infinite elastic and isotropic plate, submitted to tension at infinity, is solved for any side ratio of the hole. It is assumed that the rectangular hole has rounded-off corners, the radii of curvature of which remain many times smaller than the short sides of the rectangles. The Muskhelishvili complex stress function θ{symbol}(z), sufficient to determine the first stress invariant needed for the solution is determined in a closed form by applying the conformal mapping method of the outside of a rectangle to the inside of a unit circle. The stress and strain distributions along the boundary of the hole, as well as inside a limited region in front of the short sides of the rectangle are accurately determined. It is proved that the method of reflected caustics is sensitive in examining the singular fields developed at the corners of the rectangles. Moreover, the minimum radii of the initial curves of the caustics are determined, outside of which the stress fields could be described by the singular solution. Experiments with reflected caustics in plexiglas plates corroborated the theoretical results. © 1989. (EN)
Type
journalArticle (EN)
Subject
Mathematical Techniques--Conformal Mapping (EN)
Plexiglas Plates (EN)
Reflected Caustic Experiments (EN)
Mechanics (EN)
Elasticity (EN)
Rectangular Hole (EN)
Plastics--Crack Propagation (EN)
Stress Intensity Factors (EN)
Plates (EN)
Strain (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
International Journal of Solids and Structures (EN)
Language
English
Issued
1989 (EN)
Identifier
http://hdl.handle.net/123456789/10012
ISI:A1989U065700001 (EN)
233 (EN)
25 (EN)
3 (EN)
213 (EN)
10.1016/0020-7683(89)90045-0 (EN)
0020-7683 (EN)
Publisher
PERGAMON-ELSEVIER SCIENCE LTD (EN)
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