Closest Point Projection Procedure and Corresponding Curvilinear Coordinate System
In this chapter the Closest Point Projection (CPP) procedure as the first important tool to define contact measures is introduced for surfaces and curves. The fundamental issues such as existence and uniqueness of the solution of the Closest Point Projection procedure are intensively studied. In due course the CPP procedure leads to a special curvilinear coordinate system in which later all contact kinematics and weak forms are formulated separately for each contact pair. This chapter creates a basis of the geometrically exact theory of contact interactions for certain geometric pairs such as Surface-To-Surface, Curve-To-Surface and Curve-To-Curve.
KeywordsLocal Coordinate System Corner Point Augmented Lagrangian Method Curvilinear Coordinate System Arbitrary Surface
Unable to display preview. Download preview PDF.