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

被引：1
作者：
Levin, Vladimir A. [1 ]
Zubov, Leonid M. [2 ,3 ]
Zingerman, Konstantin M. [3 ,4 ]
机构：
[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
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2016年 / 100卷
关键词：
Nonlinear elasticity; Superposition of large strains; Composite beam; Flexure; Incompressible materials; Exact solution; Preliminarily strained layers; VISCOELASTIC BODIES; FINITE STRAINS; ELASTICITY; STRESS; SOLIDS;
D O I：
10.1016/j.ijsolstr.2016.09.029
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
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.
引用
收藏
页码：558 / 565
页数：8
相关论文
共 27 条
[1]  
[Anonymous], VYSOKOMOLEK SOED
[2]  
[Anonymous], 1984, NONLINEAR ELASTIC DE
[3]   Asymmetric quadrilateral shell elements for finite strains [J].
Areias, P. ;
Dias-da-Costa, D. ;
Pires, E. B. ;
Van Goethem, N. .
COMPUTATIONAL MECHANICS, 2013, 52 (01) :81-97
[4]  
Brochu P., 2012, Ph.D. Thesis
[5]  
Ciarlet P. G., 1988, MATH ELASTICITY
[6]  
Ericksen J.L., 1955, J MATH PHYS, V34, P126, DOI DOI 10.1002/SAPM1955341126
[7]   PLANE ELASTIC WAVES OF FINITE AMPLITUDE . HADAMARD MATERIALS AND HARMONIC MATERIALS [J].
JOHN, F .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1966, 19 (03) :309-&
[8]   Influence of the prestressed layer on the nonlinear flexure of a rectangular beam made of compressible material [J].
Levin, V. A. ;
Zubov, L. M. ;
Zingerman, K. M. .
DOKLADY PHYSICS, 2015, 60 (04) :167-170
[9]  
Levin V. A., 1988, Soviet Physics - Doklady, V33, P296
[10]   Theory of repeated superposition of large deformations: Elastic and viscoelastic bodies [J].
Levin, VA .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (20) :2585-2600
123