Conference proceeding
Stochastic Fracture Analysis of Three-Dimensional Functionally Graded Materials Employing Concurrent Multiscale Model
Volume 6: Materials and Fabrication, Parts A and B, Vol.6, pp.1837-1846
ASME 2009 Pressure Vessels and Piping Conference, Prague, Czech Republic, Jul. 26 - 30, 2009
01/01/2009
DOI: 10.1115/PVP2009-78021
Abstract
This article presents a stochastic multiscale fracture analysis of three-dimensional functionally graded, particle-matrix composites with random microstructures employing a moment-modified polynomial dimensional decomposition method. The stochastic model is based on a level-cut, inhomogeneous, filtered Poisson random field for representing spatially-varying random microstructures and a moment-modified polynomial dimensional decomposition for calculating the probabilistic characteristics of crack-driving forces. The decomposition involves Fourier-polynomial expansions of component functions by orthonormal polynomial bases, an additive control variate in conjunction with Monte Carlo simulation for calculating the expansion coefficients, and a moment-modified random output to account for the effects of particle locations and geometry. A numerical problem involving a horizontally placed, planar edge-crack in a three-dimensional functionally graded specimen under a mixed-mode deformation was efficiently calculated by the univariate dimensional decomposition to calculate the statistical moments and distribution functions of crack-driving forces and the conditional probability of fracture initiation. The fracture results show significant variation of the stress intensity factors and fracture initiation probability along the crack front of the fracture specimen.
Details
- Title: Subtitle
- Stochastic Fracture Analysis of Three-Dimensional Functionally Graded Materials Employing Concurrent Multiscale Model
- Creators
- Arindam Chakraborty - Structural Integrity AssociatesSharif Rahman - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- Volume 6: Materials and Fabrication, Parts A and B, Vol.6, pp.1837-1846
- Conference
- ASME 2009 Pressure Vessels and Piping Conference, Prague, Czech Republic, Jul. 26 - 30, 2009
- Publisher
- ASMEDC
- DOI
- 10.1115/PVP2009-78021
- ISSN
- 0277-027X
- Language
- English
- Date published
- 01/01/2009
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196648702771
Metrics
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