An exact solution for the problem of flexure of a composite beam with preliminarily strained layers under large strains

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:67-68

Article

Levin, Vladimir A.¹  Zubov, Leonid M.^2,3  Zingerman, Konstantin M.^3,4 

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[2] Southern Fed Univ, Fac Math Mech & Comp Sci, Rostov Na Donu 344090, Russia

[3] Moscow MV Lomonosov State Univ, FIDESYS Ltd, Moscow 119991, Russia

[4] Tver State Univ, Dept Appl Math & Cybernet, Tver 170100, Russia

关键词: Nonlinear elasticity;    Superposition of large strains;    Composite beam;    Flexure;    Incompressible materials;    Exact solution;    Preliminarily strained layers;   

DOI  :  10.1016/j.ijsolstr.2015.04.024

来源: Elsevier

【 摘 要 】

A solution to the problem of a beam composed of some preliminary strained parts (layers) subject to flexural loads is presented under large strains. An exact analytical solution of this problem is obtained for the case in which the beam is made of isotropic, nonlinear-elastic, incompressible materials. The solution is universal for this class of materials. The mathematical statement and the solution of the problem are obtained using the theory of superposition of large strains. Numerical computations are performed for the neo-Hookean material and significant nonlinear effects are discovered. (C) 2015 Elsevier Ltd. All rights reserved.

【 授权许可】

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