期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2003
卷号:2003
DOI:10.1155/S0161171203211480
出版社:Hindawi Publishing Corporation
摘要:The present paper examines the contact problem related to shear
punch through a rigid strip bonded to a nonhomogeneous medium.
The nonhomogeneous medium is bonded to another nonhomogeneous
medium. The strip is perpendicular to the y-axis and parallel
to the x-axis. It is assumed that there is perfect bonding at
the common plane surface of two nonhomogeneous media. Using
Fourier cosine transforms, the solution of the problem is reduced
to dual integral equations involving trigonometric cosine
functions. Later on, the solution of the dual integral equations
is transformed into the solution of a system of two simultaneous
Fredholm integral equations of the second kind. Solving
numerically the Fredholm integral equations of the second kind,
the numerical results of resultant contact shear are obtained and
graphically displayed to demonstrate the effect of nonhomogeneity
of the elastic material.