Theory of elastic solids reinforced with fibers resistant to extension, flexure and twist

被引：64

作者：

Steigmann, David J. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2012年 / 47卷 / 07期

关键词：

Finite elasticity; Fiber-reinforced material; Flexure and twist; COUPLE-STRESS; RODS; MINIMIZATION; COSSERAT;

D O I：

10.1016/j.ijnonlinmec.2012.04.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A model of non-linearly elastic solids reinforced by continuously distributed embedded fibers is formulated in which elastic resistance of the fibers to extension, bending and twist is taken into account explicitly. This generalizes the conventional theory in which the solid is modeled as a transversely isotropic simple material. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：734 / 742

页数：9

共 30 条

[1]

[Anonymous], 2009, Theory of Elasticity

[2]

[Anonymous], 1965, ENCY PHYS

[3]

[Anonymous], 2013, NONLINEAR ELASTIC DE

[4]

Antman SS., 2005, Nonlinear Problems of Elasticity

[5] Kirchhoff's problem of helical equilibria of uniform rods [J].

Chouaieb, N ;

Maddocks, J .

JOURNAL OF ELASTICITY, 2004, 77 (03) :221-247

[6] KIRCHHOFF THEORY OF RODS [J].

DILL, EH .

ARCHIVE FOR HISTORY OF EXACT SCIENCES, 1992, 44 (01) :1-23

[7] MINIMIZATION IN NONLINEAR ELASTICITY THEORY FOR BODIES REINFORCED WITH INEXTENSIBLE CORDS [J].

FOSDICK, RL ;

MACSITHIGH, GP .

JOURNAL OF ELASTICITY, 1991, 26 (03) :239-289

[8] MINIMIZATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY THEORY [J].

FOSDICK, RL ;

MACSITHIGH, GP .

JOURNAL OF ELASTICITY, 1986, 16 (03) :267-301

[9] Gradient nanoscale polycrystalline elasticity: Intergrain interactions and triple-junction conditions [J].

Fried, Eliot ;

Gurtin, Morton E. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (10) :1749-1779

[10]

Giaquinta M., 1996, CALCULUS VARIATIONS, VI

← 1 2 3 →