Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 15, 1999 | public
Journal Article

Finite element analysis of nonsmooth contact

Abstract

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023