Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
The perturbation method in the problem on a nearly circular inclusion in an elastic body. / Grekov, M.A.; Vakaeva, A.B.
The perturbation method in the problem on a nearly circular inclusion in an elastic body. International Center for Numerical Methods in Engineering, 2017. стр. 963-971.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - The perturbation method in the problem on a nearly circular inclusion in an elastic body
AU - Grekov, M.A.
AU - Vakaeva, A.B.
PY - 2017
Y1 - 2017
N2 - The two-dimensional 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 each-order approximation, the problem is reduced to the solving two independent Riemann – Hilbert’s boundary problems. It is constructed an algorithm for funding any-order approximation in terms of elementary functions. Based on the first-order approximation numerical results for hoop stresses at the interface are presented under uniaxial tension at infinity.
AB - The two-dimensional 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 each-order approximation, the problem is reduced to the solving two independent Riemann – Hilbert’s boundary problems. It is constructed an algorithm for funding any-order approximation in terms of elementary functions. Based on the first-order approximation numerical results for hoop stresses at the interface are presented under uniaxial tension at infinity.
KW - Nearly Circular Inclusion
KW - 2-D Problem
KW - Perturbation Method
KW - Complex Potentials
KW - Stress Concentration
M3 - Conference contribution
SN - 978-84-946909-2-1
SP - 963
EP - 971
BT - The perturbation method in the problem on a nearly circular inclusion in an elastic body
PB - International Center for Numerical Methods in Engineering
ER -
ID: 7752361