Title: |
Topological Sensitivity and its Applications |
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Speaker: |
Prof. Krishnan Suresh |
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Affiliation: |
University of Wisconsin-Madison |
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When: |
Friday, February 18, 2011 at 11:00:00 AM |
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Where: |
MRDC Building, Room 4211 |
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Host: |
Yan Wang | |
Abstract Shape and topology optimization have flourished over the last two decades, resulting in a number of powerful mathematical concepts. One such concept is that of topological sensitivity (a.k.a. topological derivative) that captures the first order impact of inserting small circular holes within a domain (e.g. on the compliance of a system). Closed-form expressions for topological sensitivity will be reviewed and illustrated, for various quantities of interest in computational mechanics. Then, a generalization of topological sensitivity, namely feature sensitivity, will be presented; the latter captures the first order effect of inserting arbitrary shaped features, within a domain. This will then be exploited for real-time feature-based design exploration. Finally, we will consider the problem of multi-objective topology optimization (MOTO), where pareto-optimal topologies must be computed to meet conflicting objectives. An efficient MOTO method exploiting topological sensitivity will be discussed, followed by numerical experiments, and a summary of open issues. |
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Biography Krishnan Suresh is currently an Associate Professor in the Department of Mechanical Engineering Department, University of Wisconsin, Madison. He graduated in 1998 from Cornell with a Ph.D. in Mechanical Engineering, under the guidance of Prof. Herbert Voelcker. He later served as an Engineering Manager at Kulicke and Soffa Industries, Philadelphia from 1998 through 2002. His research interests are in representational and computational challenges underlying computational and bio-mechanics. He has received numerous peer-reviewed grants, including the prestigious NSF Career award in 2007. He has co-authored over 20 journal papers, and several conference papers, two of which have received best-paper awards from ASME. |
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Notes |
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