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Some boundary-value problems of the elastic and thermoelastic equilibrium of wedge-shaped bodies

✍ Scribed by N.G. Khomasuridze

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
603 KB
Volume
69
Category
Article
ISSN
0021-8928

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✦ Synopsis

An exact solution is constructed of some boundary-value problems of the thermoelastic and elastic equilibrium of wedge-shaped bodies, bounded by two infinite or finite coordinate planes, that is, by the faces of a dihedral angle, with rotationally-symmetric orthogonal coordinates. In the case when the wedge is infinite, a steady temperature field and corresponding surface perturbations act on it. If the wedge-shaped body occupies a finite domain, bounded by the coordinate surfaces of one of the rotationallysymmetric systems of coordinates, then surface perturbations are specified on its faces (when there is no temperature field) and homogeneous conditions of a special form are satisfied on the remaining part of the surface. The surface perturbations on each of the two faces correspond to the specification: (a) displacements, (b) tangential displacements and a normal stress and (c) shear stresses and a normal displacement.

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