Journal article
Shape Sensitivity Analysis of Linear-Elastic Cracked Structures Under Mode-I Loading
Journal of pressure vessel technology, Vol.124(4), pp.476-482
11/01/2002
DOI: 10.1115/1.1486017
Abstract
A new method is presented for shape sensitivity analysis of a crack in a homogeneous, isotropic, and linear-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 needed in the proposed 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. Since the J-integral is represented by domain integration, only the first-order sensitivity of displacement field is needed. Two numerical examples are presented to illustrate the proposed method. The results show that the maximum difference in calculating the sensitivity of J-integral by the proposed method and reference solutions by analytical or finite-difference methods is less than three percent.
Details
- Title: Subtitle
- Shape Sensitivity Analysis of Linear-Elastic Cracked Structures Under Mode-I Loading
- Creators
- Guofeng Chen - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242Sharif Rahman - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242Young Ho Park - Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003
- Resource Type
- Journal article
- Publication Details
- Journal of pressure vessel technology, Vol.124(4), pp.476-482
- Publisher
- ASME
- DOI
- 10.1115/1.1486017
- ISSN
- 0094-9930
- eISSN
- 1528-8978
- Language
- English
- Date published
- 11/01/2002
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064226702771
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