التفاصيل البيبلوغرافية
| العنوان: |
On equilibrium of a two-layer elastic structure with a crack in non-coercive case. |
| المؤلفون: |
Khludnev, Alexander1 (AUTHOR) khlud@hydro.nsc.ru |
| المصدر: |
Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Jun2024, Vol. 75 Issue 3, p1-14. 14p. |
| مصطلحات موضوعية: |
*EQUILIBRIUM, *NEUMANN boundary conditions |
| مستخلص: |
The paper concerns an analysis of a free boundary problem describing an equilibrium state of a two-layer elastic structure with a crack in a non-coercive case. The non-coercivity of the problem is a consequence of the Neumann boundary conditions on external boundaries. Nonlinear constraints are imposed at the crack faces providing a mutual non-penetration between them. Necessary and sufficient conditions imposed on external forces are found for a solvability of the problem. Limiting passages are investigated as a rigidity of the elastic layer converges to infinity and to zero. Both variational and differential problems formulations are analyzed. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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