Asymptotic analysis for a second-order curved thin film

被引：0

作者：

Zorgati, Hamdi ^{[1
,2
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

[2] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2023年 / 28卷 / 12期

关键词：

Formal asymptotic expansion; curved thin films; variational methods; PLATE MODELS; SHELLS; JUSTIFICATION; ELASTICITY; DERIVATION; DYNAMICS; STATICS; ENERGY; FLUID;

D O I：

10.1177/10812865231171390

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider a second-order thin curved film whose behavior is governed by an energy made up of a first-order nonlinear part depending on the gradient of the deformation augmented by a quadratic second-order part depending on the tensor of second derivatives of the deformation. We carry out a 3D-2D analysis through an asymptotic expansion in powers of the thickness of the film as it tends to zero.

引用

页码：2637 / 2660

页数：24

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