THE NATURE OF AXISYMMETRIC WAVE FIELDS IN ELASTIC SOLIDS,
Abstract
Expressions for the displacements established in an infinite half-space by a concentrated unit impulse which is a step function of time are determined by extending to the axially symmetric case, the procedure of F. Sauter's previously applied to the concentrated line shock in two dimensions. The results are used to prove that a pulse in acoustic material travels without dilatation, rotation, or acceleration. Some evidence is presented for the conjecture that wave transmission may depend upon the fact that Poisson's ratio is above or below a critical value. The importance of this basic problem to related problems in fracture initiation, spalling, explosive loads, seismology, wave reinforcements in plates of finite thickness is briefly noted.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 02, 1956
- Accession Number
- AD0605017
Entities
People
- H. A. Lang
Organizations
- RAND Corporation