PLANE WAVES IN LINEAR, HEREDITARY MATERIALS.

Abstract

A general procedure is developed for predicting the way in which transient pulses propagate through an arbitrary, linearly viscoelastic medium characterized by creep or stress relaxation functions. By use of the Laplace transform, differential operations in transform space, and some asymptotic methods, the boundary-value problem in question is reformulated in terms of a Volterra integral equation, with the space variable playing the role of a parameter. This equation is readily resolved numerically, and results obtained by this procedure compare very well with solutions available in the literature. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0674258

Entities

People

  • Izak Kaya
  • Jerome L. Sackman

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Equations
  • Integral Equations
  • Integrals
  • Literature
  • Materials
  • Mathematics
  • Plane Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).
  • Military History / Militaries and War Studies

Technology Areas

  • Space