Large deformations of Timoshenko and Euler beams under distributed load

被引：0
作者：
A. Della Corte
A. Battista
F. dell’Isola
P. Seppecher
机构：
[1] University of L’Aquila,M&MoCS, Research Center
[2] Université de La Rochelle,DISG
[3] University La Sapienza,IMATH
[4] Université de Toulon,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2019年 / 70卷
关键词：
Nonlinear elasticity; Timoshenko beam; Euler beam; Stability of solutions of nonlinear ODEs; 74B20; 34B15; 49J45;
D O I：
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摘要：
In this paper, the general equilibrium equations for a geometrically nonlinear version of the Timoshenko beam are derived from the energy functional. The particular case in which the shear and extensional stiffnesses are infinite, which correspond to the inextensible Euler beam model, is studied under a uniformly distributed load. All the global and local minimizers of the variational problem are characterized, and the relative monotonicity and regularity properties are established.
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