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Asymmetric Distribution of Thermal Stress in a Semi‐Infinite Elastic Solid Containing a Penny‐Shaped Crack
Author(s) -
Srivastava K. N.,
Palaiya R. M.
Publication year - 1970
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19700501203
Subject(s) - integral equation , elasticity (physics) , mathematics , mathematical analysis , fredholm integral equation , boundary value problem , semi infinite , geometry , materials science , composite material
Solutions are presented for a class of asymmetric mixed‐boundary value problems of thermo‐elasticity. Elastic halfspace containing a penny‐shaped crack situated parallel to the free boundary is considered. The mixed boundary conditions are prescribed on the surface of the crack and free boundary. Using an established integral solution form, the problem is reduced to three pairs of simultaneous dual integral equations which are subsequently reduced to a set simultaneous Fredholm integral equations of the second kind. An iterative solution of these equations is obtained. One illustrative example is presented in which quantities of physical interest are given.