Geometrically Exact Theory for Arbitrary Shaped Bodies
Focusing on geometrical situations involving contact pairs, the book systematically analyzes various interactions, including point-to-surface, surface-to-surface, and curve-to-curve relationships. It provides a comprehensive numerical analysis alongside new analytical results, making it a valuable resource for understanding complex geometrical interactions in various applications.
The intuitive understanding of contact bodies is based on the geometry and adjoining surfaces. A powerful approach to solve the contact problem is to take advantage of the geometry of an analyzed object and describe the problem in the best coordinate system. This book is a systematical analysis of geometrical situations leading to contact pairs: suface-to-surface, curve-to-surface, point-to-surface a. s. o. resultingin the corresponding computational algorithms to solve the contact problem.
This book presents a systematic analysis of geometrical situations leading to contact pairs: point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface, and offers the associated numerical analysis as well as new analytical results.