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

页码：558 / 565

页数：8

共 27 条

[11]

LEVIN VA, 1999, REPEATED SUPERPOSITI

[12] An exact solution for the problem of flexure of a composite beam with preliminarily strained layers under large strains [J].

Levin, Vladimir A. ;

Zubov, Leonid M. ;

Zingerman, Konstantin M. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2015, 67-68 :244-249

[13] Numerical analysis of the stress concentration near holes originating in previously loaded viscoelastic bodies at finite strains [J].

Levin, Vladimir A. ;

Zingerman, Konstantin M. ;

Vershinin, Anatoly V. ;

Freiman, Eugene I. ;

Yangirova, Anastasia V. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2013, 50 (20-21) :3119-3135

[14]

Lurie A., 1990, Nonlinear Theory of Elasticity

[15] LARGE DEFORMATION ISOTROPIC ELASTICITY - CORRELATION OF THEORY AND EXPERIMENT FOR INCOMPRESSIBLE RUBBERLIKE SOLIDS [J].

OGDEN, RW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 326 (1567) :565-&

[16]

Pierson H.O., 1999, HDB CHEM CAPOR DEPOS

[17] On the effect of prestrain and residual stress in thin biological membranes [J].

Rausch, Manuel K. ;

Kuhl, Ellen .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2013, 61 (09) :1955-1969

[18] LARGE ELASTIC DEFORMATIONS OF ISOTROPIC MATERIALS .6. FURTHER RESULTS IN THE THEORY OF TORSION, SHEAR AND FLEXURE [J].

RIVLIN, RS .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1949, 242 (845) :173-195

[19] LARGE ELASTIC DEFORMATIONS OF ISOTROPIC MATERIALS .7. EXPERIMENTS ON THE DEFORMATION OF RUBBER [J].

RIVLIN, RS ;

SAUNDERS, DW .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1951, 243 (865) :251-288

[20] LARGE ELASTIC DEFORMATIONS OF ISOTROPIC MATERIALS .5. THE PROBLEM OF FLEXURE [J].

RIVLIN, RS .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1949, 195 (1043) :463-473

← 1 2 3 →