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Finite element analysis of nonsmooth contact

Kane, C. and Repetto, E. A. and Ortiz, M. and Marsden, J. E. (1999) Finite element analysis of nonsmooth contact. Computer Methods in Applied Mechanics and Engineering, 180 (1-2). pp. 1-26. ISSN 0045-7825. doi:10.1016/S0045-7825(99)00034-1.

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This work develops robust contact algorithms capable of dealing with complex contact situations involving several bodies with corners. Amongst the mathematical tools we bring to bear on the problem is nonsmooth analysis, following Clarke (F.H. Clarke. Optimization and nonsmooth analysis. John Wiley and Sons, New York, 1983.). We specifically address contact geometries for which both the use of normals and gap functions have difficulties and therefore precludes the application of most contact algorithms proposed to date. Such situations arise in applications such as fragmentation, where angular fragments undergo complex collision sequences before they scatter. We demonstrate the robustness and versatility of the nonsmooth contact algorithms developed in this paper with the aid of selected two and three-dimensional applications.

Item Type:Article
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Ortiz, M.0000-0001-5877-4824
Additional Information:© 1999 Elsevier Science S.A. All rights reserved. Received 29 January 1998; received in revised form 8 September 1998. CK, JEM and MO are grateful to the AFOSR for partial support through Caltech's MURI on Mathematical Infrastructure for Robust Virtual Engineering. CK and MO are grateful to the DoE for partial support through Caltech's ASCI Center for the Simulation of the Dynamic Response of Materials. MO also wishes to gratefully acknowledge the support of the Army Research O�ce through grant DAAH04-96-1-0056.
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Department of EnergyUNSPECIFIED
Army Research OfficeDAAH04-96-1-0056
Issue or Number:1-2
Record Number:CaltechAUTHORS:20100819-144015326
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19529
Deposited By: Ruth Sustaita
Deposited On:19 Aug 2010 22:14
Last Modified:08 Nov 2021 23:53

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