An exact solution for the problem of flexure of a composite beam with preliminarily strained layers under large strains. Part 2. Solution for different types of incompressible materials

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:100

Article

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

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

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

[3] Lomonosov Moscow State Univ, FIDESYS Ltd, Sci Pk, 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.2016.09.029

来源: Elsevier

【 摘 要 】

The exact solution of the problem of flexure of nonlinear-elastic composite beam with preliminarily strained layers is analyzed for large strains. The solution is obtained using the theory of superposition of large strains. Numerical results are shown for the Bartenev-Khazanovich material and for Biderman material. Nontrivial effects caused by nonlinearities are discussed. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

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