Standard

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 конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Grekov, MA & Vakaeva, AB 2017, The perturbation method in the problem on a nearly circular inclusion in an elastic body. в The perturbation method in the problem on a nearly circular inclusion in an elastic body. International Center for Numerical Methods in Engineering, стр. 963-971. <http://congress.cimne.com/coupled2017/frontal/Doc/Ebook2017.pdf>

APA

Grekov, M. A., & Vakaeva, A. B. (2017). The perturbation method in the problem on a nearly circular inclusion in an elastic body. в The perturbation method in the problem on a nearly circular inclusion in an elastic body (стр. 963-971). International Center for Numerical Methods in Engineering. http://congress.cimne.com/coupled2017/frontal/Doc/Ebook2017.pdf

Vancouver

Grekov MA, Vakaeva AB. The perturbation method in the problem on a nearly circular inclusion in an elastic body. в 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

Author

Grekov, M.A. ; Vakaeva, A.B. / The perturbation method in the problem on a nearly circular inclusion in an elastic body. 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

BibTeX

@inproceedings{4353702b44644524bbae72a053252f29,
title = "The perturbation method in the problem on a nearly circular inclusion in an elastic body",
abstract = "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{\textquoteright}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{\textquoteright}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.",
keywords = "Nearly Circular Inclusion, 2-D Problem, Perturbation Method, Complex Potentials, Stress Concentration",
author = "M.A. Grekov and A.B. Vakaeva",
year = "2017",
language = "English",
isbn = "978-84-946909-2-1",
pages = "963--971",
booktitle = "The perturbation method in the problem on a nearly circular inclusion in an elastic body",
publisher = "International Center for Numerical Methods in Engineering",
address = "Spain",

}

RIS

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