Progress in Engineering Computational Technology
Edited by: B.H.V. Topping and C.A. Mota Soares

Chapter 10

Advances in Computational Contact Mechanics

S.A. Meguid*, A. Czekanski* and J.F. Silva-Gomes+
*Engineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Canada
+Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Portugal

Keywords: dynamic contact, variational inequalities, aeroengine discs.

Great strides have recently been made in the application of computational mechanics to the design of highly complex engineering systems. It has now become abundantly clear that advanced modelling techniques are central to the competitiveness of the industrialised nations. Excellent examples of this assertion are the computer-integrated design of the recent Boeing 777 aircraft, the collapsible foam-filled structures for the car of the next century. It is with this in mind that the author focuses his attention to a class of problems where contact mechanics plays a major role in dictating the mechanical integrity of the component/system. Three aspects of the current study are accordingly examined. The first is concerned with the development of the appropriate dynamic variational inequalities expressions, which are capable of the accurate and consistent representation of contact problems. The second is concerned with the development of robust solution algorithms that guarantee the accurate imposition of the kinematic contact constraint and avoid interpenetration. The third is concerned with the application of the developed algorithms to realistic design problems involving intricate mechanical systems.

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