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Closest Point Projection Procedure and Corresponding Curvilinear Coordinate System

  • Alexander Konyukhov
  • Karl Schweizerhof
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 67)

Abstract

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.

Keywords

Local Coordinate System Corner Point Augmented Lagrangian Method Curvilinear Coordinate System Arbitrary Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute of MechanicsKarlsruhe Institute of TechnologyKarlsruheGermany
  2. 2.Institut für MechanikKarlsruher Institut für TechnologieKarlsruheDeutschland

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