A Lattice Model for Composite Materials

Abstract

Lattice theory is developed for composite materials in which the matrix and inclusions of the composite are idealized as a gridwork of thermoelastic bars attached to small rigid masses. This model generalizes the spring and mass model prominent in the classical lattice theory of solids. Replacement of the springs by elastic bars provides extra internal degrees of freedom beyond the central force model of the lattice theory. The lattice representation leads to a system of finite difference equations of motion which can be used to solve dynamic and thermal stress problems numerically. Equations for stress and couple stress are obtained, which are identical in form to those of the linear theory of micropolar thermoelasticity.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1969
Accession Number
ADA379681

Entities

People

  • A. C. Eringen
  • T. R. Tauchert
  • T. Y. Chang

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Climate Change
  • Coefficients
  • Composite Materials
  • Constitutive Equations
  • Crystal Lattices
  • Difference Equations
  • Differential Equations
  • Displacement
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Inclusions
  • Materials
  • Modulus Of Elasticity
  • Stiffness
  • Thermal Expansion
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Mechanical Engineering/Mechanics of Materials.