Adiabatic temperature rise in a viscoplastic rod under impact
type: Item
instance of: scholarly article
title: Adiabatic temperature rise in a viscoplastic rod under impact
zbMATH Open document ID: 0575.73028
DOI: 10.1016/0093-6413(84)90077-6
author: David W. Nicholson
published in: Mechanics Research Communications
publication date: 1984-01-01T00:00:00Z
review text: The impact of a small rigid mass on an infinite rod is treated using Laplace transforms. The rod is considered rigid viscoplastic. In accordance with several constitutive models for shear bending, the energy dissipated by viscoplastic flow is assumed to be converted into temperature increase in a simple adiabatic manner. Simple readily evaluated expressions are derived for stress, strain and temperature as functions of time and position. In an example calculation impactor kinetic energy of \(1,5\cdot 10^{1-}gm-cm^ 2/\sec^ 2\) is found to cause a temperature increase of 1.5\(\circ K\) near the impact interface. It is believed that the results reported here may serve as a ''benchmark'' for finite element impact codes such as EPIC-II.
Mathematics Subject Classification ID: 74M20
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3919927
zbMATH Keywords: impact
zbMATH Keywords: small rigid mass
zbMATH Keywords: infinite rod
zbMATH Keywords: Laplace transforms
zbMATH Keywords: rigid viscoplastic
zbMATH Keywords: constitutive models for shear bending
zbMATH Keywords: energy dissipated
zbMATH Keywords: viscoplastic flow
zbMATH Keywords: converted into temperature increase
zbMATH Keywords: adiabatic manner
zbMATH Keywords: stress
zbMATH Keywords: strain
zbMATH Keywords: functions of time and position
MaRDI profile type: Publication
full work available at URL: 0093-6413(84)90077-6
OpenAlex ID: W2029299620
description: scientific article; zbMATH DE number 3919927