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Title:Leading order asymptotics at sharp fiber corners in creeping- matrix composite materials
Author(s):Nimmagadda, Prasad B. R.; Sofronis, Petros
Subject(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.
Issue Date:1999-10
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 922
Genre:Technical Report
Sponsor:National Science Foundation NSS-92 10686; Center for Simulation of Advanced Rocket B341494
Rights Information:Copyright 1999 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    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.

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