Elastic Solutions in a Semi-Infinite Solid with an Ellipsoidal Inclusion

Abstract

The elastic field caused by an ellipsoidal inclusion in a semi- infinite solid is investigated. The solutions for the inclusion with misfit stress-free strain components (e superscript T) sub ij with (e superscript T) sub 11 = (e superscript T) sub 22 and (e superscript T) sub 12 = 0 are solved by the application of the Hankel transformation method for the solution of axisymmetric problems together with Mindlin's solution for the nuclei of strain in the semi-infinite solid and Eshelby's solution for ellipsoidal inclusions. The resultant stresses have the property that the traction vanishes across the plane boundary of the solid.

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Document Details

Document Type
Technical Report
Publication Date
Jan 25, 1990
Accession Number
ADA217063

Entities

People

  • H. Y. Yu
  • S. C. Sanday

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Availability
  • Axisymmetric
  • Bessel Functions
  • Boundaries
  • Cartesian Coordinates
  • Classification
  • Dislocations
  • Displacement
  • Equations
  • Inclusions
  • Materials
  • Materials Science
  • Mathematics
  • Military Research
  • Potential Theory
  • Shape
  • Surface Properties

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.
  • Structural Dynamics.