elastic circular inclusion
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2020 ◽  
Vol 108 (4) ◽  
pp. 88-96
Author(s):  
L. Vakhonina ◽  
◽  
N. Potryvaieva ◽  
О. Sadovyi

Fine elastic circular inclusion in the area of harmonic vibrations of an unlimited body under smooth contact The problem of the interaction of harmonic waves with a thin elastic circular inclusion, which is located in an elastic isotropic body (matrix), is solved. On both sides of the inclusion between it and the body (matrix), the conditions of smooth contact are realized. The solution method is based on representing the displacements in the matrix through discontinuous solutions of the Lamé equations for harmonic vibrations. This made it possible to reduce the problem to Fredholm integral equations of the second kind with respect to functions associated with jumps in normal stress and radial displacement to included ones. After the realization of the boundary conditions on the sides of the inclusion, a system of singular integral equations is obtained to determine these jumps. Keywords: elastic inclusions, cylindrical waves, matrix, stress intensity factor.



AIAA Journal ◽  
10.2514/2.758 ◽  
1999 ◽  
Vol 37 (4) ◽  
pp. 475-481 ◽  
Author(s):  
C. K. Chao ◽  
T. Y. Heh


AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 475-481
Author(s):  
C. K. Chao ◽  
T. Y. Heh


1997 ◽  
Vol 18 (5) ◽  
pp. 441-448 ◽  
Author(s):  
Tang Renji ◽  
Tao Fangming ◽  
Zhang Minghuan






Author(s):  
R. D. List

AbstractThe elastic fields in an elastic circular inclusion and its surrounding infinite dissimilar elastic matrix, are determined when either the matrix or inclusion is subject to a concentrated force or edge dislocation.



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