The use of a non-classical friction law in finite-element analysis of contact problems

• Main Author: Bolt, Andrew Clifford
• Other Authors: Reddy, B Daya
• Format: Dissertation
• Language: English
• Published: University of Cape Town 2014
• Subjects: Civil engineering
• Online Access: http://hdl.handle.net/11427/7577

Bibliography: leaves 82-84. === In this thesis a description is given of the numerical treatment of contact problems in elasticity. Frictional effects on the contact surface are modelled by using a nonlocal, nonlinear friction law. Features of the boundary value problem, which merit special attention, are the presence of inequality constraints and the fact that the contact surface is not known a priori. Finite element approximations based on a variational formulation of the problem, developed by Oden and Pires, are used to generate a discretised version. The solution procedure incorporates an iterative algorithm for the determination of the extent of the contact surface. Alternative techniques for the evaluation of the frictional stresses on the contact surface are described and numerical examples are presented.