Journal article
A continuum approach for second‐order shape design sensitivity of elastic solids with loaded boundaries
International journal for numerical methods in engineering, Vol.38(17), pp.2979-3004
09/15/1995
DOI: 10.1002/nme.1620381708
Abstract
A second‐order shape design sensitivity analysis (DSA) method applicable to the shape change on the loaded boundaries is derived for three‐dimensional linear elastic solids using a continuum method with the material derivative. The continuum method is also used to derive mixed second‐order variations of stress and displacement performance measures with respect to shape design variables and distribution of non‐conservative traction loads, and also with respect to shape design variables and material properties. A shape design acceleration field is defined for the second‐order shape design sensitivity. Both direct differentiation and hybrid methods are presented in this paper. A numerical method, which can be implemented using established finite element analysis (FEA) codes, is developed. The feasibility and accuracy of the proposed second‐order shape DSA method has been demonstrated by solving a structural example‐doubly curved arch dam.
Details
- Title: Subtitle
- A continuum approach for second‐order shape design sensitivity of elastic solids with loaded boundaries
- Creators
- Chin‐Jung ChenKyung K Choi
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.38(17), pp.2979-3004
- Publisher
- John Wiley & Sons, Ltd; New York
- DOI
- 10.1002/nme.1620381708
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Number of pages
- 26
- Grant note
- NSF‐Army‐NASA Industry/University Cooperative Research Center
- Language
- English
- Date published
- 09/15/1995
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064226802771
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