A parametric study on probabilistic fracture of functionally graded composites by a concurrent multiscale method

Arindam CHAKRABORTY; Sharif RAHMAN

doi:10.1016/j.probengmech.2009.01.001

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$A parametric study on probabilistic fracture of functionally graded composites by a concurrent multiscale method$

Journal article

Peer reviewed

A parametric study on probabilistic fracture of functionally graded composites by a concurrent multiscale method

Arindam CHAKRABORTY and Sharif RAHMAN

Probabilistic engineering mechanics, Vol.24(3), pp.438-451

2009

DOI: 10.1016/j.probengmech.2009.01.001

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Abstract

This article reports the results of a parametric study on the fracture behavior of a crack in functionally graded materials. The study involves stochastic descriptions of particle and void numbers; location, size, and orientation characteristics; and constituent elastic properties; a concurrent multiscale model for calculating crack-driving forces; and Monte Carlo simulation for fracture reliability analysis. A level-cut, inhomogeneous, filtered Poisson field describes the statistically inhomogeneous microstructures of graded composites. Numerical results for an edge-cracked, graded specimen show that the particle shape and orientation for the same phase volume fractions have negligible effects on fracture reliability, even for graded materials with a high modular ratio. However, voids and the particle gradation parameter, if they exist or increase, can significantly raise the probability of fracture initiation. Limited crack-propagation simulations in graded composites containing brittle particles reveal that the fracture toughness of the matrix material can significantly influence the likelihood or the extent of crack growth.

Solid Mechanics

Applied Sciences

Physics

Reliability theory. Replacement problems

Fundamental areas of phenomenology (including applications)

Structural and continuum mechanics

Operational research and scientific management

Exact sciences and technology

Fracture mechanics (crack, fatigue, damage...)

Static elasticity (thermoelasticity...)

Operational research. Management science

Details

Title: Subtitle: A parametric study on probabilistic fracture of functionally graded composites by a concurrent multiscale method
Creators: Arindam CHAKRABORTY - College of Engineering, The University of Iowa, Iowa City, IA 52242, United States
Sharif RAHMAN - College of Engineering, The University of Iowa, Iowa City, IA 52242, United States
Resource Type: Journal article
Publication Details: Probabilistic engineering mechanics, Vol.24(3), pp.438-451
Publisher: Elsevier; Oxford
DOI: 10.1016/j.probengmech.2009.01.001
ISSN: 0266-8920
eISSN: 1878-4275
Language: English
Date published: 2009
Academic Unit: Mechanical Engineering
Record Identifier: 9984064217002771

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