| Autor: |
Pruchnicki, Erick |
| Předmět: |
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| Zdroj: |
Mathematics & Mechanics of Solids; Apr2019, Vol. 24 Issue 4, p1116-1128, 13p |
| Abstrakt: |
In this paper we propose a multiscale linear shell theory for simulating the mechanical response of a highly heterogeneous shell of varying thickness. To resolve this issue, a higher-order stress-resultant shell formulation based on multiscale homogenization is considered. At the macroscopic scale level, we approximate the displacement field by a fourth-order Taylor–Young expansion in thickness. The transition between both the microscopic and the macroscopic scales is obtained through the introduction of a specific Hill–Mandel condition. Since we adopt the standard assumption of small strain which is used in linear elasticity, we can present a variant of the homogenization scheme which is valid for small strain. The nonlinearity of the previous model occurs from the assumption of large rotation of the transverse normal. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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