Nonlinear antiplane deformation of an elastic body
type: Item
instance of: scholarly article
zbMATH Open document ID: 1001.74009
author: V. D. Bondar'
publication date: 2001-12-13T00:00:00Z
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1682283
zbMATH Keywords: cylindric body
zbMATH Keywords: incompressible material
zbMATH Keywords: Murnaghan law
zbMATH Keywords: elastic potential
MaRDI profile type: Publication
title: Nonlinear antiplane deformation of an elastic body
published in: Prikladnaya Mekhanika i Tekhnicheskaya Fizika
review text: The antiplane elastic deformation of a homogeneous isotropic prestretched cylindrical body is studied in a nonlinear formulation in actual-state variables under incompressibility conditions, the absence of volume forces, and under constant lateral loading along the generatrix. The boundary-value problem of axial displacement is obtained in Cartesian and complex variables and sufficient ellipticity conditions for this problem are indicated in terms of the elastic potential. The similarity to a plane vortex-free gas flow is established. The problem is solved for Mooney and Rivlin -- Sonders materials simulating strong elastic deformations of rubberlike materials. Axisymmetric solutions are considered.
description: scientific article; zbMATH DE number 1682283