Journal article
A New Computational Method for Probabilistic Elastic-Plastic Fracture Analysis
Journal of pressure vessel technology, Vol.131(6), pp.061402 (8 )-061402 (8 )
12/01/2009
DOI: 10.1115/1.4000159
Abstract
This paper presents a polynomial dimensional decomposition method for calculating the probability distributions of random crack-driving forces commonly encountered in elastic-plastic fracture analysis of ductile solids. The method involves a hierarchical decomposition of a multivariate function in terms of variables with increasing dimensions, a broad range of orthonormal polynomial bases consistent with the probability measure for Fourier-polynomial expansion of component functions, and an innovative dimension-reduction integration for calculating the expansion coefficients. Unlike the previous development, the new decomposition does not require sample points, yet it generates a convergent sequence of lower-variate estimates of the probability distributions of crack-driving forces. Numerical results, including the probability of fracture initiation of a through-walled-cracked pipe, indicate that the decomposition method developed provides accurate, convergent, and computationally efficient estimates of the probabilistic characteristics of the J-integral.
Details
- Title: Subtitle
- A New Computational Method for Probabilistic Elastic-Plastic Fracture Analysis
- Creators
- Sharif Rahman - Department of Mechanical and Industrial Engineering, University of Iowa, Iowa City, IA 52242
- Resource Type
- Journal article
- Publication Details
- Journal of pressure vessel technology, Vol.131(6), pp.061402 (8 )-061402 (8 )
- Publisher
- ASME
- DOI
- 10.1115/1.4000159
- ISSN
- 0094-9930
- eISSN
- 1528-8978
- Language
- English
- Date published
- 12/01/2009
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064239602771
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