A class of exact solutions for a 3D filamentary continuous medium

被引：1

作者：

Baesu, Eveline ^{[1
]}

机构：

[1] Univ Nebraska, Dept Engn Mech, Lincoln, NE 68588 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 02期

关键词：

fiber; networks; elastic;

D O I：

10.1016/j.camwa.2006.02.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A theory for a three-dimensional (3D) continuum composed of continuously distributed fibers is presented. General results are derived concerning kinematics, a constitutive equation, the uniqueness of the solution to the equilibrium equations, and convexity conditions. A class of exact solutions is obtained that contains, as a particular case, all homogeneous deformations. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：317 / 323

页数：7

共 25 条

[1] FINITE PLANE DEFORMATION OF THIN ELASTIC SHEETS REINFORCED WITH INEXTENSIBLE CORDS [J].

ADKINS, JE .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 249 (961) :125-150

[2] Finite deformations of elastic-plastic filamentary networks [J].

Baesu, E .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (10) :1473-1479

[3]

BAESU E, 2004, MRS P Y, V844

[4]

BAESU E, 2000, P ASME WINT ANN M OR

[5]

Gao D.Y., 1999, DUALITY PRINCIPLES N

[6]

Graves L. M., 1939, DUKE MATH J, V5, P656

[7]

Green AE., 1970, Large Elastic Deformations, V2

[8] PLANE DEFORMATIONS OF MEMBRANES FORMED WITH ELASTIC CORDS [J].

GREEN, WA ;

SHI, J .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1990, 43 :317-333

[9] ON UNIQUENESS AND STABILITY IN THE THEORY OF FINITE ELASTIC STRAIN [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1957, 5 (04) :229-241

[10] AXISYMMETRIC STATIC NETS [J].

KUZNETSOV, EN .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1982, 18 (12) :1103-1112

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