ON A STRESS–STATE OF AN ELASTIC SEMI–STRIP UNDER MECHANICAL AND THERMAL STRESSES
Journal Title: Дослідження в математиці і механіці - Year 2015, Vol 20, Issue 2
Abstract
The new methodic of plane elasticity problems’ solving for the semi-infinite strip under the mechanical and thermal pressures is considered in the article. The sense of it is the applying of the integral Fourier transformations directly to the Lame’s equations. It leads the initial problems to the one-dimensional ones which are solved with the help of the matrix differential calculation and Green’s matrix apparatus. The problems’ solving is reduced to one integral and one integro-differentional equations with regard to the unknown function of the displacement correspondingly. These equations are solved approximately by the orthogonal scheme. The normal stresses’ absolute values are analyzed.
Authors and Affiliations
Z. Yu. Zhuravlyova
Keywords
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