Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates
| Autor: | Evgeny Rudoy, Alexey Furtsev |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Asymptotic analysis Weak convergence Applied Mathematics Mechanical Engineering Mathematical analysis Zero (complex analysis) Stiffness 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Sobolev space 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Homogeneous Modeling and Simulation medicine General Materials Science Adhesive medicine.symptom Layer (object-oriented design) 0210 nano-technology |
| Zdroj: | International Journal of Solids and Structures. 202:562-574 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2020.06.044 |
| Popis: | Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called adhesive) of small width between two plates (called adherents) is considered. 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 an asymptotic 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 of interface conditions. In all cases, we establish weak convergence of the solutions of the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions of corresponding equilibrium problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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