The dynamic stresses generated in a finite elastic body of revolution by longitudinal impact with a rigid wall

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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Engineering

Grantor

Rice University

Year dc:date.issued

1963

Author dc:creator

• Langner, Carl Gottlieb

Advisor dc:contributor.advisor

• Wilhoit, J. C.

Statement dc:rights

• Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1911/89008

OAI identifier oai:identifier

oai:repository.rice.edu:1911/89008