Journal article
Probabilistic fracture mechanics by galerkin meshless methods. Part I: rates of stress intensity factors
Computational mechanics, Vol.28(5), pp.351-364
2002
DOI: 10.1007/s00466-002-0299-x
Abstract
This is the first in a series of two papers generated from a study on probabilistic meshless analysis of cracks. In this paper (Part I), a Galerkin-based meshless method is presented for predicting first-order derivatives of stress-intensity factors with respect to the crack size in a linear-elastic structure containing a single crack. The method involves meshless discretization of cracked structure, domain integral representation of the fracture integral parameter, and sensitivity analysis in conjunction with a virtual crack extension technique. Unlike existing finite-element methods, the proposed method does not require any second-order variation of the stiffness matrix to predict first-order sensitivities, and is, consequently, simpler than existing methods. The method developed herein can also be extended to obtain higher-order derivatives if desired. Several numerical examples related to mode-I and mixed-mode problems are presented to illustrate the proposed method. The results show that first-order derivatives of stress-intensity factors using the proposed method agree very well with reference solutions obtained from either analytical (mode I) or finite-difference (mixed mode) methods for the structural and crack geometries considered in this study. For mixed-mode problems, the maximum difference between the results of proposed method and finite-difference method is less than 7. Since the rates of stress-intensity factors are calculated analytically, the subsequent fracture reliability analysis can be performed efficiently and accurately.
Details
- Title: Subtitle
- Probabilistic fracture mechanics by galerkin meshless methods. Part I: rates of stress intensity factors
- Creators
- B. N RAO - College of Engineering, The University of Iowa, Iowa City, IA 52242, United StatesS RAHMAN - College of Engineering, The University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Computational mechanics, Vol.28(5), pp.351-364
- Publisher
- Springer; Heidelberg; Berlin
- DOI
- 10.1007/s00466-002-0299-x
- ISSN
- 0178-7675
- eISSN
- 1432-0924
- Language
- English
- Date published
- 2002
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064254202771
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