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Mortar Finite Element Methods for Large Deformation Contact Mechanics
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In this work, a mortar finite element formulation is §developed for solving large deformation frictional §contact problems in a robust and accurate manner. §The technique employs an integral projection of §contact variables on the contact surface to provide §a consistent representation of all contact variables §over a single discretization. A new global searching §algorithm based on bounding volume hierarchies, with §the distinct advantage of output sensitivity, §significantly improves the performance of the mortar §formulation. The algorithm is extended to self-§contact problems by applying a curvature criterion §with a new algorithm to detect subsurface §adjacencies. Finally, a lubricated contact §formulation based on the mortar element method is §developed. The fluid film thickness is computed with §a least squares projection based on dual basis §functions. Numerical examples presented in this book §demonstrate the superior performance of mortar §finite element methods for contact simulations.
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