A stochastic multiscale modeling technique is proposed to construct coarse scale representation of a fine scale model for use in engineering design problems. The complexity of the fine scale heterogeneity under uncertainty is replaced with the homogenized coarse scale parameters by seeking agreement between the responses at both scales. Generalized polynomial chaos expansion is implemented to reduce the dimensionality of propagating uncertainty through scales and the computational costs of the upscaling method. It is integrated into a hybrid optimization procedure with the genetic algorithm and sequential quadratic programming. Two structural engineering problems that involve uncertainties in elastic material properties and geometric properties at fine scales are presented to demonstrate the applicability and merit of the proposed technique.
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ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4632-2
PROCEEDINGS PAPER
An Improved Stochastic Upscaling Method for Multiscale Engineering Systems
Recep M. Gorguluarslan,
Recep M. Gorguluarslan
Georgia Institute of Technology, Atlanta, GA
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Seung-Kyum Choi
Seung-Kyum Choi
Georgia Institute of Technology, Atlanta, GA
Search for other works by this author on:
Recep M. Gorguluarslan
Georgia Institute of Technology, Atlanta, GA
Seung-Kyum Choi
Georgia Institute of Technology, Atlanta, GA
Paper No:
DETC2014-34418, V02BT03A047; 11 pages
Published Online:
January 13, 2015
Citation
Gorguluarslan, RM, & Choi, S. "An Improved Stochastic Upscaling Method for Multiscale Engineering Systems." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2B: 40th Design Automation Conference. Buffalo, New York, USA. August 17–20, 2014. V02BT03A047. ASME. https://doi.org/10.1115/DETC2014-34418
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