Journal article
Continuum approach for second-order shape design sensitivity of three-dimensional elastic solids
AIAA journal, Vol.32(10), pp.2099-2107
10/1994
DOI: 10.2514/3.12257
Abstract
A second-order shape design sensitivity analysis method for three-dimensional linear elastic solids is derived, using a continuum approach with the material derivative. To compute the second-order shape design sensitivity, a shape design acceleration field is defined, which is similarto the shape design velocity field for the first-order shape design sensitivity. Both direct differentiation and hybrid methods are presented in this paper. The shape changes are assumed on the traction-free boundary only. A numerical method, which can be implemented using established finite element analysis codes, is developed to demonstrate feasibility and accuracy of the proposed second-order shape design sensitivity analysis method. It is demonstrated that the proposed numerical method can be used to solve practical structural problems. To avoid inaccuracy of finite element analysis results on the boundary for the computation of design sensitivity, a domain method is developed in which the design sensitivity information is expressed as domain integrals.
Details
- Title: Subtitle
- Continuum approach for second-order shape design sensitivity of three-dimensional elastic solids
- Creators
- Chin-Jung Chen - University of IowaKyung K Choi - University of Iowa
- Resource Type
- Journal article
- Publication Details
- AIAA journal, Vol.32(10), pp.2099-2107
- DOI
- 10.2514/3.12257
- ISSN
- 0001-1452
- eISSN
- 1533-385X
- Language
- English
- Date published
- 10/1994
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064110402771
Metrics
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