THE JUNCTION PROBLEM FOR TWO WEAKLY CURVED INCLUSIONS IN AN ELASTIC BODY

THE JUNCTION PROBLEM FOR TWO WEAKLY CURVED INCLUSIONS IN AN ELASTIC BODY Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466

Output data

Year: 2020, Volume: 61, Number: 4, Pages: 743-754 Pages count : 12 DOI: 10.1134/S003744662004014X

Tags

517.958, BOUNDARY VALUE PROBLEM, CRACK, ELASTIC BODY, INCLUSION, JUNCTION CONDITIONS

Authors

Khludnev Aleksandr Mikhailovich ^1,2 , Popova Tatyana ³

Affiliations

1	Sobolev Institute of Mathematics SB RAS
2	Lavrentyev Institute of Hydrodynamics
3	The Ammosov North-Eastern Federal University

Under study are the boundary value problems that describethe equilibria of two-dimensional elastic bodieswith thin weakly curved inclusionsin the presence of delamination,which means thatthere is a crack between the inclusions and an elastic body.Some inequality-type nonlinear boundary conditionsare imposed on the crack faces that exclude mutual penetration.This puts the problems into the class of those with unknown contact area.We assume that the inclusions have a contact point, find boundary conditions at the junction point,and justify passage to infinity with respect tothe rigidity parameter of the thin inclusion.In particular,we obtain and analyze limit models.

Khludnev A.M. , Popova T.
THE JUNCTION PROBLEM FOR TWO WEAKLY CURVED INCLUSIONS IN AN ELASTIC BODY
Siberian Mathematical Journal. 2020. V.61. N4. P.743-754. DOI: 10.1134/S003744662004014X WOS Scopus РИНЦ OpenAlex

Хлуднев А.М. , Попова Т.
О ЗАДАЧЕ СОПРЯЖЕНИЯ ДВУХ СЛАБО ИСКРИВЛЕННЫХ ВКЛЮЧЕНИЙ В УПРУГОМ ТЕЛЕ
Siberian Mathematical Journal. 2020. Т.61. №4. С.932–945. DOI: 10.33048/smzh.2020.61.414 РИНЦ OpenAlex

Web of science:	WOS:000554787900014
Scopus:	2-s2.0-85088706542
Elibrary:	45484939
OpenAlex:	W3046890727

DB	Citing
Elibrary	2
OpenAlex	3
Scopus	3
Web of science	1