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The buckling of a dislocated plate

✍ Scribed by L.H. Mitchell; A.K. Head

Publisher
Elsevier Science
Year
1961
Tongue
English
Weight
485 KB
Volume
9
Category
Article
ISSN
0022-5096

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πŸ“œ SIMILAR VOLUMES

The buckling of a thin plate due to the
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## Abstract It is shown that an edge dislocation parallel to the surface of a thin foil causes buckling of this foil by an angle of about ΞΈ = __b__/__t__. (__b__ = Burgers vector; __t__ = thickness of the foil). The angle ΞΈ depends on the position of the dislocation. It is maximum for a dislocation

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## Abstract The linear equation Ξ”^2^__u__ = 1 for the infinitesimal buckling under uniform unit load of a thin elastic plate over ℝ^2^ has the particularly interesting nonlinear generalization Ξ”~__g__~^2^__u__ = 1, where Ξ”~__g__~ = __e__^βˆ’2__u__^ Ξ” is the Laplace‐Beltrami operator for the metric __