ANTIPLANE STRAIN IN A NONLINEARLY ELASTIC INCOMPRESSIBLE BODY

被引：6

作者：

Annin, B. D. ^{[1
]}

Bondar', V. D. ^{[2
]}

机构：

[1] Russian Acad Sci, Lavrentev Inst Hydrodynam, Siberian Div, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2006年 / 47卷 / 06期

关键词：

stresses; strains; displacement; potential; nonlinear problem; Legendre transform; strain plane;

D O I：

10.1007/s10808-006-0124-y

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stress-strain state of an incompressible cylindrical elastic body with antiplane strain under the action of potential forces and surface loading constant along the body is considered in a nonlinear formulation in actual variables. The stresses are expressed via the pressure and independent strains, the pressure is expressed via the force and elastic potentials, and nonlinear boundary-value problems are posed for strains (and displacements). Various methods for solving these problems are developed. For the nonlinear equations obtained, some analytical solutions containing free parameters are given, which can be used as a basis for solving particular problems.

引用

页码：849 / 856

页数：8