Asymptotic justification of dynamical equations for generalized Marguerre–von Kármán anisotropic shallow shells

Abstract

In this paper, using technics from asymptotic analysis, we show that the three-dimensional dynamical model for a non-linearly elastic shallow shell made of anisotropic material, with boundary conditions of generalized Marguerre–von Kármán’s type, reduces to two-dimensional dynamical model.

Keywords:

• Dynamical problem
• asymptotic analysis
• non-linear elasticity
• anisotropic shallow shell
• Marguerre–von Kármán equations

AMS Subject Classifications:

• 74H10
• 74B20
• 74K25

Notes

No potential conflict of interest was reported by the authors.