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Abstract
The twodimensional boundary value problem on a nearly circular inclusion in an infinity elastic solid is solved. It is supposed that the uniform stress state takes place at infinity. Contact of the inclusion with the matrix satisfies to the ideal conditions of cohesion. To solve this problem, Muskhelishvili’s method of complex potentials is used. Following the boundary perturbation method, this potentials are sought in terms of power series in a small parameter. In eachorder approximation, the problem is reduced to the solving two independent Riemann – Hilbert’s boundary problems. It is constructed an algorithm for funding anyorder approximation in terms of elementary functions. Based on the firstorder approximation numerical results for hoop stresses at the interface are presented under uniaxial tension at infinity.
Original language  English 

Title of host publication  The perturbation method in the problem on a nearly circular inclusion in an elastic body 
Publisher  International Center for Numerical Methods in Engineering 
Pages  963971 
ISBN (Print)  9788494690921 
State  Published  2017 
Keywords
 Nearly Circular Inclusion
 2D Problem
 Perturbation Method
 Complex Potentials
 Stress Concentration
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 1 Oral presentation

The perturbation method in the problem on a nearly circular inclusion in an elastic body
Александра Борисовна Вакаева (Keynote speaker) & Михаил Александрович Греков (Speaker)
12 Jun 2017 → 14 Jun 2017Activity: Talk types › Oral presentation