EQUILIBRIUM OF PRESTRESSED NETWORKS

被引：28

作者：

STEIGMANN, DJ

机构：

[1] Department of Mechanical Engineering, University of Alberta, Edmonton, AB

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1992年 / 48卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1093/imamat/48.2.195

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general theory for small displacements superposed on finite deformations of elastic networks is presented. The network is regarded as a surface formed by two continuously distributed families of elastic fibres. The second variation of the potential energy is considered in detail and the Legendre-Hadamard inequality associated with a weak minimizer of the energy is examined. The theory is then specialized to the case of orthogonal fibres and applied to the solution of some simple problems.

引用

页码：195 / 215

页数：21

共 25 条

[1]

Buchholdt H.A., 1968, IMA J APPL MATH, V4, P339, DOI [10.1093/imamat/4.4.339, DOI 10.1093/IMAMAT/4.4.339]

[2]

COHEN H, 1984, ARCH RATION MECH AN, V85, P343

[3] FINITE DEFORMATION OF ELASTIC MEMBRANES WITH APPLICATION TO THE STABILITY OF AN INFLATED AND EXTENDED TUBE [J].