Conference proceeding
Stochastic Meshless Analysis of Elastic-Plastic Cracked Structures
New and Emerging Computational Methods: Applications to Fracture, Damage, and Reliability, Vol.438, pp.133-146
ASME 2002 Pressure Vessels and Piping Conference, Vancouver, BC, Canada, Aug. 05 - 09, 2002
01/01/2002
DOI: 10.1115/PVP2002-1201
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 six 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 - University of IowaS Rahman - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- New and Emerging Computational Methods: Applications to Fracture, Damage, and Reliability, Vol.438, pp.133-146
- Conference
- ASME 2002 Pressure Vessels and Piping Conference, Vancouver, BC, Canada, Aug. 05 - 09, 2002
- Publisher
- ASMEDC
- DOI
- 10.1115/PVP2002-1201
- ISSN
- 0277-027X
- Language
- English
- Date published
- 01/01/2002
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196652102771
Metrics
3 Record Views