RESPONSE OF POLYMERS TO TENSILE IMPACT. 1. AN INTEGRAL-EQUATION, SUCCESSIVE-SUBSTITUTION SOLUTION FOR USE IN DIGITAL COMPUTERS, AND ITS APPLICATION TO A LINEAR ELASTIC MODEL

Abstract

An integral-equation, modified successive-substitution method of solving the equation of motion of a linear elastic string is derived. The method is an extension of two independent variables of a method previously employed with only a single independent variable. The solution is proved to be correct in the linear case and is expected to be valid also for nonlinear cases and for situations in which the response of the material is time dependent. Methods of numerical approximation based on a lattice of points in the time- position plane are developed, suitable for digital-computer programming. Typical results of computer runs on linear materials are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0682714

Entities

People

  • Harold J. Hoge
  • Malcolm N. Pilsworth Jr.
  • Prescott D. Crout

Organizations

  • United States Army Soldier Systems Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computations
  • Computer Programming
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Integral Equations
  • Materials
  • Mathematical Analysis
  • Mechanics
  • Method Of Characteristics
  • Numerical Analysis
  • Partial Differential Equations
  • Stress Strain Relations
  • Stresses
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Structural Dynamics.