Abstract: The article concerns a junction problem for two-dimensional elastic body with a thin elastic inclusion and a volume rigid inclusion. It is assumed that the inclusions have a common point. A delamination of the thin inclusion from the surrounding elastic body is assumed thus forming an interfacial crack. Constraint-type boundary conditions are imposed at the crack faces to prevent interpenetration between the faces. Moreover, a connection between the crack faces is characterized by a positive damage parameter. Limit transitions are justified as the damage parameter tends to infinity and to zero. In addition to this, a transition to limit is analysed as a rigidity parameter of the thin inclusion tends to infinity. Limit models are investigated. In particular, junction conditions at the common point are found for all cases considered.

Cite: Khludnev A.M.
Junction problem for thin elastic and volume rigid inclusions in elastic body
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022. N380. 20210360 . DOI: 10.1098/rsta.2021.0360 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Jan 30, 2022
Accepted:	Mar 1, 2022
Published print:	Sep 26, 2022

Identifiers:

Web of science:	WOS:000861201200010
Scopus:	2-s2.0-85138548115
Elibrary:	57268877
OpenAlex:	W4297200957

Citing:

DB	Citing
Scopus	8
OpenAlex	6
Elibrary	7
Web of science	7

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