A Model for Load-Transfer from an Embedded Fiber to an Elastic Matrix

Abstract

A model is presented for approximating load-diffusion from axially loaded fibers embedded in elastic matrices. The fundamental elastostatic solutions used are for a point force and point dilation in either a fully- infinite or semi-infinite space. Tangential tractions across the fiber-matrix interface are included explicitly in the analysis. The model is applied to the three-dimensional analogs of Melan's first problem and Reissner's problem and comparisons are made with exact results in the case of the former to help establish the validity of the model. The ability to analyze load-transfer in fiber-matrix systems which are illustrative of those that exist in fiber- reinforced materials is fundamental to the study of how such materials behave in application. Our ability at present, however, to rigorously solve such problems in the realm of three-dimensional elasticity is limited to a few isolated results involving infinite fibers bounded along their entire length to full- infinite matrices. (JS)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1990
Accession Number
ADA228466

Entities

People

  • J. L. Sanders Jr.
  • William S. Slaughter

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Axial Loads
  • Coordinate Systems
  • Diffusion
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Kernel Functions
  • Materials
  • Military Research
  • Modulus Of Elasticity
  • Shear Stresses
  • Stresses
  • Three Dimensional
  • Traction

Fields of Study

  • Mathematics

Readers

  • Reinforced Composite Materials
  • Structural Dynamics.

Technology Areas

  • Space