ASYMPTOTIC ANALYSIS OF THE PROBLEM OF EQUILIBRIUM OF AN INHOMOGENEOUS BODY WITH HINGED RIGID INCLUSIONS OF VARIOUS WIDTHS Full article
| Journal |
Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944 |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2023, Volume: 64, Number: 5, Pages: 911-920 Pages count : 10 DOI: 10.1134/s0021894423050206 | ||||||
| Tags | variational problem, rigid inclusion, non-penetration condition, elastic matrix, hinged connection | ||||||
| Authors |
|
||||||
| Affiliations |
|
Abstract:
Two models are considered, which describe the equilibrium state of an inhomogeneous two-dimensional body with two connected rigid inclusions. The first model corresponds to an elastic body with two-dimensional rigid inclusions located in regions with a constant width (curvilinear rectangle and trapezoid). The second model involves thin inclusions described by curves. In both models, it is assumed that there is a crack described by the same curve on the interface between the elastic matrix and rigid inclusions. The crack boundaries are subjected to a one-sided condition of non-penetration. The dependence of the solutions of equilibrium problems on the width of two-dimensional inclusions is studied. It is shown that the solutions of equilibrium problems in the presence of two-dimensional inclusions in a strong topology are reduced to the solutions of problems for thin inclusions with the width parameter tending to zero.
Cite:
Lazarev N.P.
, Kovtunenko V.A.
ASYMPTOTIC ANALYSIS OF THE PROBLEM OF EQUILIBRIUM OF AN INHOMOGENEOUS BODY WITH HINGED RIGID INCLUSIONS OF VARIOUS WIDTHS
Journal of Applied Mechanics and Technical Physics. 2023. V.64. N5. P.911-920. DOI: 10.1134/s0021894423050206 WOS Scopus РИНЦ OpenAlex
ASYMPTOTIC ANALYSIS OF THE PROBLEM OF EQUILIBRIUM OF AN INHOMOGENEOUS BODY WITH HINGED RIGID INCLUSIONS OF VARIOUS WIDTHS
Journal of Applied Mechanics and Technical Physics. 2023. V.64. N5. P.911-920. DOI: 10.1134/s0021894423050206 WOS Scopus РИНЦ OpenAlex
Original:
Лазарев Н.П.
, Ковтуненко В.А.
АСИМПТОТИЧЕСКИЙ АНАЛИЗ ЗАДАЧИ О РАВНОВЕСИИ НЕОДНОРОДНОГО ТЕЛА С ШАРНИРНО СОЕДИНЕННЫМИ ЖЕСТКИМИ ВКЛЮЧЕНИЯМИ РАЗЛИЧНОЙ ШИРИНЫ
Прикладная механика и техническая физика. 2023. Т.64. №5 (381). С.205-215. DOI: 10.15372/PMTF202315275 РИНЦ
АСИМПТОТИЧЕСКИЙ АНАЛИЗ ЗАДАЧИ О РАВНОВЕСИИ НЕОДНОРОДНОГО ТЕЛА С ШАРНИРНО СОЕДИНЕННЫМИ ЖЕСТКИМИ ВКЛЮЧЕНИЯМИ РАЗЛИЧНОЙ ШИРИНЫ
Прикладная механика и техническая физика. 2023. Т.64. №5 (381). С.205-215. DOI: 10.15372/PMTF202315275 РИНЦ
Dates:
| Submitted: | Mar 23, 2023 |
| Accepted: | Apr 24, 2023 |
| Published print: | Jan 15, 2024 |
Identifiers:
| Web of science: | WOS:001142921400014 |
| Scopus: | 2-s2.0-85182495096 |
| Elibrary: | 60872250 |
| OpenAlex: | W4390871118 |