Journal article
Shape sensitivity and reliability analyses of linear-elastic cracked structures
International journal of fracture, Vol.112(3), pp.223-246
2001
DOI: 10.1023/A:1013543913779
Abstract
This paper presents a new method for continuum-based shape sensitivity and reliability analyses of a crack in a homogeneous, isotropic, and linear-elastic body subject to mode-I loading. The method involves the material derivative concept of continuum mechanics, domain integral representation of the J-integral, and direct differentiation. Unlike virtual crack extension techniques, no mesh perturbation is needed in the proposed sensitivity analysis method. Since the governing variational equation is differentiated prior to the process of discretization, the resulting sensitivity equations are independent of any approximate numerical techniques, such as the finite element method, boundary element method, or others. Numerical results show that the maximum error in calculating the sensitivity of Jusing the proposed method is less than three percent. Based on continuum sensitivities, the first-order reliability method was formulated to conduct probabilistic fracture-mechanics analysis. A numerical example is presented to illustrate the usefulness of the proposed sensitivity equations for probabilistic analysis. Since all gradients are calculated analytically, the reliability analysis of cracks can be performed efficiently.
Details
- Title: Subtitle
- Shape sensitivity and reliability analyses of linear-elastic cracked structures
- Creators
- Guofeng Chen - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United StatesSharif RAHMAN - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United StatesYoung Ho Park - Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003, United States
- Resource Type
- Journal article
- Publication Details
- International journal of fracture, Vol.112(3), pp.223-246
- Publisher
- Springer; Heidelberg
- DOI
- 10.1023/A:1013543913779
- ISSN
- 0376-9429
- eISSN
- 1573-2673
- Language
- English
- Date published
- 2001
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064250002771
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