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Author Fabrikant, Valery I.
Source SpringerLink
Content type Text
Publisher Springer-Verlag
File Format PDF
Copyright Year ©2010
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations
Subject Keyword Contact problems ♦ Layered media ♦ Generalized images method ♦ Integral equations ♦ Integral transforms ♦ Transversely isotropic body ♦ Theoretical and Applied Mechanics ♦ Mechanics
Abstract The idea, first used by the author for the case of crack problems, is applied here to solve a contact problem for a transversely isotropic elastic layer resting on a smooth elastic half-space, made of a different transversely isotropic material. A rigid punch of arbitrary shape is pressed against the layer’s free surface. The governing integral equation is derived; it is mathematically equivalent to that of an electrostatic problem of an infinite row of coaxial charged disks in the shape of the domain of contact. The case of circular domain of contact is considered in detail. As a comparison, the method of integral transforms is also used to solve the problem. The main difference of our integral transform approach with the existing ones is in separating of our half-space solution from the integral transform terms. It is shown that both methods lead to the same results, thus giving a new interpretation to the integral transform as a sum of an infinite series of generalized images.
ISSN 09391533
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2010-07-21
Publisher Place Berlin/Heidelberg
e-ISSN 14320681
Journal Archive of Applied Mechanics
Volume Number 81
Issue Number 7
Page Count 18
Starting Page 957
Ending Page 974


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Source: SpringerLink