ASYMPTOTIC MODELLING OF INTERFACES IN KIRCHHOFF-LOVE'S PLATES THEORY Full article
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Nonlinear Analysis and Extremal Problems (NLA-2022) 15-22 Jul 2022 , |
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| Source | PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON NONLINEAR ANALYSIS AND EXTREMAL PROBLEMS (NLA-2022).
Conference Proceedings Compilation, ISDCT SB RAS. Irkutsk.2022. 174 c. ISBN 978-5-6041814-2-3. |
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| Output data | Year: 2022, Pages: 100-101 Pages count : 2 | ||||
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Abstract:
Within the framework of the Kirchhoff-Love theory, a thin homogeneouslayer (called adhesive) of small width between two plates (called adherents) isconsidered. It is assumed that elastic properties of the adhesive layer depend on its width which is a small parameter of the problem. Our goal is to perform anasymptotic analysis as the parameter goes to zero. It is shown that depending on the softness or stiffness of the adhesive, there are seven distinct types ofinterface conditions. In all cases, we establish weak convergence of the solutionsof the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions ofcorresponding equilibrium problems.
Cite:
Rudoy E.M.
ASYMPTOTIC MODELLING OF INTERFACES IN KIRCHHOFF-LOVE'S PLATES THEORY
In compilation PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON NONLINEAR ANALYSIS AND EXTREMAL PROBLEMS (NLA-2022). Conference Proceedings. – ISDCT SB RAS., 2022. – C.100-101. – ISBN 978-5-6041814-2-3. РИНЦ
ASYMPTOTIC MODELLING OF INTERFACES IN KIRCHHOFF-LOVE'S PLATES THEORY
In compilation PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON NONLINEAR ANALYSIS AND EXTREMAL PROBLEMS (NLA-2022). Conference Proceedings. – ISDCT SB RAS., 2022. – C.100-101. – ISBN 978-5-6041814-2-3. РИНЦ
Identifiers:
| Elibrary: | 50045184 |
Citing:
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| Elibrary | Нет цитирований |