General Variational Methods for Waves in Elastic Composites

Abstract

General variational theorems in which the displacement, the stress, and the strain in one case, and the displacement and the stress in another case, are given independent variations, and which include appropriate general boundary and discontinuity conditions, are developed with a view toward the application to harmonic waves in elastic composites with periodic structures. The one- dimensional case is developed in detail, and in order to demonstrate the effectiveness of the results, especially their accuracy in providing the dispersion curve, waves propagating normal to layers in a layered composite are discussed, and numerical results are presented. The general three- dimensional case is considered, and the results are applied to waves propagating normal to the fibers in a fiber-reinforced composite.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0740595

Entities

People

  • S. Nemat-nasser

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • California
  • Coefficients
  • Composite Materials
  • Discontinuities
  • Elastic Waves
  • Equations
  • Fiber Reinforced Composites
  • Frequency
  • Materials
  • Mechanical Engineering
  • Periodic Variations
  • Three Dimensional
  • Traction
  • Two Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).
  • Reinforced Composite Materials