Journal article
Continuum shape sensitivity and reliability analyses of nonlinear cracked structures
International journal of fracture, Vol.131(2), pp.189-209
01/2005
DOI: 10.1007/s10704-004-3948-6
Abstract
A new method is proposed for shape sensitivity analysis of a crack in a homogeneous, isotropic, and nonlinearly elastic body subject to mode I loading conditions. 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 required in the proposed method. Since the governing variational equation is differentiated before the process of discretization, the resulting sensitivity equations are independent of any approximate numerical techniques. Based on the continuum sensitivities, the first-order reliability method was employed to perform probabilistic analysis. Numerical examples are presented to illustrate both the sensitivity and reliability analyses. The maximum difference between the sensitivity of stress-intensity factors calculated using the proposed method and the finite-difference method is less than four percent. Since all gradients are calculated analytically, the reliability analysis of cracks can be performed efficiently.
Details
- Title: Subtitle
- Continuum shape sensitivity and reliability analyses of nonlinear cracked structures
- Creators
- Sharif Rahman - Department of Mechanical Engineering The University of Iowa Iowa City IA 52242Guofeng Chen - Department of Mechanical Engineering The University of Iowa Iowa City IA 52242
- Resource Type
- Journal article
- Publication Details
- International journal of fracture, Vol.131(2), pp.189-209
- Publisher
- Kluwer Academic Publishers; Dordrecht
- DOI
- 10.1007/s10704-004-3948-6
- ISSN
- 0376-9429
- eISSN
- 1573-2673
- Language
- English
- Date published
- 01/2005
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064240102771
Metrics
8 Record Views