Transient Motion of an Elastic Half-Space Due to a Semi-Infinite Surface Line Load.

D. C. Gakenheimer

Expert InsightsPublished 1969

The description of a method for obtaining an exact transient solution to the problem of an elastic half-space whose surface is excited by a semi-infinite line load. In essence, the solution for the case of the point load traveling at a velocity greater than both of the body wave speeds (supersonic load motion) is shown to become a solution for the semi-infinite line load problem as the load speed approaches infinity. It can be seen that the load is normal to the surface of the half-space and has impulsive time-dependence. Resulting displacements were analyzed at the wave fronts and head wave fronts for both hemispherical and cylindrical waves. 8 pp. Ref. (KB)

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1969
  • Pages: 8
  • Document Number: P-4081

Citation

Chicago Manual of Style

Gakenheimer, D. C., Transient Motion of an Elastic Half-Space Due to a Semi-Infinite Surface Line Load. Santa Monica, CA: RAND Corporation, 1969. https://www.rand.org/pubs/papers/P4081.html.
BibTeX RIS

This publication is part of the RAND paper series. The paper series was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.