INDENTATION OF AN ELASTIC LAYER BY AN ARRAY OF PUNCHES MOVING WITH STEADY VELOCITY.

Abstract

A solution is presented for the problem of an elastic layer that is indented by an infinite array of punches moving with a steady velocity below the Rayleigh wave speed. The layer is assumed to be loaded symmetrically about its midplane. The equations of plane elasticity are used to develop dual series equations which are reduced to a single Fredholm integral equation. An asymptotic solution to the integral equation is developed for the case when the ratio of contact length to punch spacing is small, and it is compared with a numerical solution. Numerical calculations for the effective stiffness of the layer and the stresses along the midplane are included. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 23, 1970
Accession Number
AD0706884

Entities

People

  • Charles Sve
  • Leon M. Keer

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cooperation
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Rayleigh Waves
  • Stiffness
  • Waves

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.

Technology Areas

  • Space