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Effect of Surface Stresses on the Antiplane Stress-Strain State of a Thin Ribbon-Like Interface Inclusion.
- Source :
-
Journal of Mathematical Sciences . May2023, Vol. 272 Issue 1, p112-124. 13p. - Publication Year :
- 2023
-
Abstract
- On the basis of the theory of functions of complex variable and the method of jump functions, we propose a procedure of taking into account the additional influence of surface stresses in the problem of thin interface inclusion in the bimaterial. In this problem, we take into account the possibility of imperfect contact between the inclusion and the matrix and, in particular, the possibility of contact with surface tension. This significantly extends the field of applicability of the results of simulation within the framework of the concept of representative volume element in micro- and macromechanics. We propose a generalized model of thin inclusion with arbitrary mechanical properties. The analysis of test problems reveals high accuracy and efficiency of the proposed approach. We present the results of numerical analyses of the stress fields in the case of interaction of the inclusion with concentrated forces and screw dislocations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL complex analysis
*STRAINS & stresses (Mechanics)
*SCREW dislocations
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 272
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 163614244
- Full Text :
- https://doi.org/10.1007/s10958-023-06403-3