The dynamic stresses generated in a finite elastic body of revolution by longitudinal impact with a rigid wall
type: CreativeWork
description: General statements concerning phase and group velocities of stress waves propagating in elastic media where at least one dimension is infinite are valuable for separating the distinct characteristics of the various operating phenomena. The problem of impact of a finite body, however, is so greatly complicated by the inherent reflections, reinforcements, and cancellations of the stress pulses that little use can be made of these general statements in describing the overall transient response of such a body. Presented here is a finite difference numerical method for integrating over space and time the appropriate equations of motion and boundary conditions for determining the transient stress state in a finite elastic body of revolution resulting from longitudinal impact against a rigid wall. Also presented here are the results obtained from programming this numerical procedure for the Rice University digital computer and using this program to evaluate the transient stress states in elastic bodies of nine distinct boundary configurations.
abstract: General statements concerning phase and group velocities of stress waves propagating in elastic media where at least one dimension is infinite are valuable for separating the distinct characteristics of the various operating phenomena. The problem of impact of a finite body, however, is so greatly complicated by the inherent reflections, reinforcements, and cancellations of the stress pulses that little use can be made of these general statements in describing the overall transient response of such a body. Presented here is a finite difference numerical method for integrating over space and time the appropriate equations of motion and boundary conditions for determining the transient stress state in a finite elastic body of revolution resulting from longitudinal impact against a rigid wall. Also presented here are the results obtained from programming this numerical procedure for the Rice University digital computer and using this program to evaluate the transient stress states in elastic bodies of nine distinct boundary configurations.
author: Langner, Carl Gottlieb
language: eng
date published: 1963
date modified: 2026-07-24T04:10:37Z
provider: Rice University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Rice University

PropertyValue
property ID: Handle
value: https://hdl.handle.net/1911/89008