LONGITUDINAL IMPACT OF A SEMI-INFINITE CYLINDRICAL VISCOELASTIC SHELL,

Abstract

The response generated by the longitudinal impact of a semi-infinite, cylindrical, viscoelastic shell is investigated on the basis of membrane theory. Laplace transform methods are applied and asymptotic values of the axial stress are determined for large values of a nondimensional time. A real integral which appears in the asymptotic expressions is evaluated numerically and tabulated as a function of two parameters. In the equivalent elastic problem, oscillatory solutions were obtained with peak values of the stress exceeding those found in the impact of a thin elastic rod. The present study indicates that the oscillations and overshoots no longer occur in the asymptotic solution for a visco elastic material. The results obtained also give the asymptotic solution for a viscoelastic rod. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0412324

Entities

People

  • H.h. Bleich
  • R.b. Testa

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Elastic Materials
  • Integrals
  • Materials
  • Membranes
  • Oscillation
  • Peak Values

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.