Diffusion Problems in Bonded Nonhomogeneous Materials with an Interface Cut

Abstract

In this paper the mixed boundary value problem for a nonhomogeneous medium bonded to a rigid subspace is considered. The main objective is to investigate the techniques that would lead to analytically tractable solutions and to provide examples comparing the results of various kinds of material nonhomogeneities. The problem studied is a two dimensional diffusion problem in which the interface contains a plane crack. An elastic medium under antiplane shear loading is used to formulate the problem. However, the results may be interpreted in terms of any number of steady-state diffusion phenomena. The method used is essentially an inverse method in the sense that it provides the material constitutive behavior for which the mixed boundary value problem can be solved rather than solving the problem for a given material. Two different methods are described and some numerical examples are given.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA256470

Entities

People

  • Fazil Erdogan
  • Murat Ozturk

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Chebyshev Polynomials
  • Crack Tips
  • Differential Equations
  • Diffusion
  • Equations
  • Geometry
  • Integral Equations
  • Materials
  • Mechanical Working
  • Mechanics
  • Shear Modulus
  • Stress Intensity Factors
  • Stresses
  • Temperature Gradients
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.