Journal article
Stochastic meshless analysis of elastic–plastic cracked structures
Computational mechanics, Vol.32(3), pp.199-213
10/2003
DOI: 10.1007/s00466-003-0475-7
Abstract
This paper presents a stochastic mesh-free method for probabilistic fracture-mechanics analysis of nonlinear cracked structures. The method involves enriched element-free Galerkin formulation for calculating the J-integral; statistical models of uncertainties in load, material properties, and crack geometry; and the first-order reliability method (FORM) for predicting probabilistic fracture response and reliability of cracked structures. The sensitivity of fracture parameters with respect to crack size, required for probabilistic analysis, is calculated using a virtual crack extension technique. Numerical examples based on mode-I fracture problems have been presented to illustrate the proposed method. The results from sensitivity analysis indicate that the maximum difference between sensitivity of the J-integral calculated using the proposed method and reference solutions obtained by the finite-difference method is about three percent. The results from reliability analysis show that the probability of fracture initiation using the proposed sensitivity and meshless-based FORM are very accurate when compared with either the finite-element-based Monte Carlo simulation or finite-element-based FORM. Since all gradients are calculated analytically, the reliability analysis of cracks can be performed efficiently using meshless methods.
Details
- Title: Subtitle
- Stochastic meshless analysis of elastic–plastic cracked structures
- Creators
- B. N Rao - Center for Computer-Aided Design The University of Iowa 208 Engineering Research Facility Iowa City IA 52242-1000 USAS Rahman - Center for Computer-Aided Design The University of Iowa 208 Engineering Research Facility Iowa City IA 52242-1000 USA
- Resource Type
- Journal article
- Publication Details
- Computational mechanics, Vol.32(3), pp.199-213
- Publisher
- Springer-Verlag; Berlin/Heidelberg
- DOI
- 10.1007/s00466-003-0475-7
- ISSN
- 0178-7675
- eISSN
- 1432-0924
- Language
- English
- Date published
- 10/2003
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064561302771
Metrics
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