A numerical scheme for the study of Poynting effect in wave propagation problems with finite boundaries
type: Item
instance of: scholarly article
title: A numerical scheme for the study of Poynting effect in wave propagation problems with finite boundaries
zbMATH Open document ID: 0553.73071
DOI: 10.1016/0020-7462(84)90048-9
author: N. S. Abhyankar
author: S. Hanagud
published in: International Journal of Non-Linear Mechanics
publication date: 1984-01-01T00:00:00Z
review text: A second order effect, involving a change of length or an axial force, is present in hyperelastic cylindrical rods subjected to a finite twist. This second order effect leads to a coupling of torsional and longitudinal waves in such rods when they are subjected to finite deformations. In this paper, effects of such a coupling has been studied for cylindrical rods of finite length. The resulting finite deformation elastodynamic problem has been solved by a finite difference method which is a MacCormack two-step variant of Lax-Wendroff second order accurate scheme. The accuracy of the numerical technique has been calibrated by comparing solutions with reported similarity solutions for semi-infinite rods. New results have been presented for finite rods and different loading conditions.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 3882000
zbMATH Keywords: second order effect
zbMATH Keywords: change of length
zbMATH Keywords: axial force
zbMATH Keywords: hyperelastic cylindrical rods
zbMATH Keywords: finite twist
zbMATH Keywords: coupling of torsional and longitudinal waves
zbMATH Keywords: cylindrical rods of finite length
zbMATH Keywords: elastodynamic problem
zbMATH Keywords: finite difference method
zbMATH Keywords: MacCormack two-step variant of Lax-Wendroff second order accurate scheme
MaRDI profile type: Publication
full work available at URL: 0020-7462(84)90048-9
OpenAlex ID: W2046205747
description: scientific article; zbMATH DE number 3882000