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Title: A contact formulation for finite elements with curved boundaries
Author: Wensel, O.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2000
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A brief overview over constrained optimisation algorithms relevant to contact analysis is given. Robustness and convergence behaviour of these algebraic schemes depend crucially on the way in which the interface conditions valid between continua in contact are discretised. Contact-induced discontinuities in the global force-displacement relationship of existing formulations are believed to be the cause of instability and poor convergence behaviour. In a remedial attempt the following features have been added to the discretisation of the equations which govern contact: A pseudo-surface normal vector is defined as a continuous function over the discretised contact surface; and all material points on the boundary are given equal weight. This contrasts to the traditional focus on nodal points. As a result a modified contact element for linear finite elements and a novel contact element for quadratic elements are implemented. Several numerical examples are presented documenting the suitability of the algorithm for solving engineering problems with complex contact geometries.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available