Thermoelastic Interaction Between a Hole and an Elastic Circular Inclusion

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

A two-dimensional circular inclusion problem

1969 ◽  
Vol 65 (3) ◽  
pp. 823-830 ◽  
Author(s):  
R. D. List
Keyword(s):  
Edge Dislocation ◽  
Circular Inclusion ◽  
Elastic Matrix ◽  
Inclusion Problem ◽  
Two Dimensional ◽  
Concentrated Force ◽  
Elastic Fields ◽  
The Matrix ◽  
Elastic Circular Inclusion

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.

scholarly journals Fine elastic circular inclusion in the area of harmonic vibrations of an unlimited body under smooth contact

2020 ◽  
Vol 108 (4) ◽  
pp. 88-96
Author(s):  
L. Vakhonina ◽  
◽  
N. Potryvaieva ◽  
О. Sadovyi
Keyword(s):  
Integral Equations ◽  
Singular Integral Equations ◽  
Isotropic Body ◽  
Circular Inclusion ◽  
The Body ◽  
Fredholm Integral Equations ◽  
Discontinuous Solutions ◽  
Harmonic Vibrations ◽  
Smooth Contact ◽  
Elastic Circular Inclusion

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.

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