Solution of the Problem of Heat Conduction for the Transversely Isotropic Piecewise-Homogeneous Space with Two Circular Inclusions

Inhomogeneous transversely isotropic space under influence of concentrated power and temperature sources

“…Then, considering the conditions (3), ( 4) and the results of [8][9][10][11][12][13][14], with respect to…”

The fundamental solution of the problem of thermoelasticity for a piecewise homogeneous transversely isotropic elastic space

“…The problem is reduced to hypersingular integral equations of the first and second kind, for which exact solutions are obtained.In [3][4][5][6][7][8][9] non-axisymmetric problems of elasticity and thermoelasticity for piecewise-homogeneous transversely isotropic spaces containing interfacial stress concentrators, such as cracks or rigid inclusions, using the method of singular integral relations (SIR) [10] reduced to systems of two-dimensional singular integral equations (SIR) and proposed a method for their solution. A similar approach was applied in [11][12][13][14][15] to solving problems of interfacial and internal defects in piecewise homogeneous anisotropic media.…”