University of Illinois Urbana-Champaign

Leading order asymptotics at sharp fiber corners in creeping- matrix composite materials

Nimmagadda, Prasad B. R.; Sofronis, Petros

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https://hdl.handle.net/2142/112631

Description

Title
Leading order asymptotics at sharp fiber corners in creeping- matrix composite materials
Author(s)
  • Nimmagadda, Prasad B. R.
  • Sofronis, Petros
Issue Date
1999-10
Keyword(s)
  • Leading Order Asymptotics
  • Sharp Fiber Corners
  • Creeping- Matrix Composite Materials
Abstract
Sharp corners in fiber or particulate reinforcements in composite materials are often sites of failure initiation due to local stress concentration. As a consequence, the constraint imposed by the reinforcement on the flow of the matrix is relaxed and the composite strength is reduced. In this paper, the effect of reinforcement sharp corners on the local creep behavior of metallic and intermetallic matrix composites at high temperatures is studied. The analysis pertains to matrices characterized by power-law creep and reinforcements which are rigid. The results are equally applicable to composites in which the matrix obeys power-law hardening plasticity. Three different types of matrix/ reinforcement interfaces are investigated as the temperature increases: i) perfectly bonded interface; ii) slipping interface; iii) diffusive interface with zero shear drag. The leading order asymptotic solutions for velocities and strains in the region around the sharp corner is obtained by solving the relevant eigenvalue problems involving 4th order ODEs. The solutions give the stresses and velocities to within arbitrary constants. The values of these constants and the region of dominance of the asymptotic solutions are determined with use of finite element results based on unit cell calculations.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 922
  • 1999-6024
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112631
Sponsor(s)/Grant Number(s)
National Science Foundation NSS-92 10686; Center for Simulation of Advanced Rocket B341494
Copyright and License Information
Copyright 1999 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.