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New Solutions in Contact Mechanics

New Solutions in Contact Mechanics

          
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About the Book

Every construction contains contact elements, such as mechanical joints, bolts, stiffeners, gaskets, and support elements. In the last few years, advances in computer technology have provided new methods and solutions for contact problems. The result of around 20 years of research by the author, this book features some previously unpublished solutions that will be useful for scientific investigation and mechanical design. A boundary element algorithm for contact with friction is discussed and a demonstration version with 800 contact points is included on an accompanying CD-ROM. All of the chapters are more or less self-contained, while the derivations used are suitable for undergraduate students. Readers will also find new information, such as the correspondence between friction and normal contact conditions, which may aid further developments in this field.

Table of Contents:
1 - Summary 2 - Symbols and notation 3 - Introduction 4 - Summary of the basic equations Basic equations of linear elasticity; Concentrated forces on a half-plane; Papkovich-Neuber solution; Concentrated normal force on a half-space; Concentrated tangential force on a half-space; Arbitrary load distribution on the surface; Hertz's formula for the stress in cylinders; The reduced elastic friction model; Example: Interior stress field for plane contact; Contact of equal layers 5 - Solutions for plane contact Introduction; Symmetric normal contact; Asymmetric and general normal contact; Oblique contact of symmetric profiles; Uncoupled plane contact with end singularities; Dissimilar half-planes under full sliding; Flat punch with square edge and rounding; Superposition of punches; Multiple contact areas; Table of solutions 6 - Solutions for axi-symmetric profiles Normal contact; Torsional loading; Tangential shift; General equations for the coupled problem; Table of solutions 7 - General contact and comparison with FEM and BEM programs Hertzian normal contact; General load histories for Hertzian contact; Examples for Hertzian contact; Comparison with Ansys; Comparison with Beasy 8 - Computation of contact problems Discretization of half-planes; Uncoupled half-planes; Discrete equations for half-spaces; Contact algorithms for normal contact; Algorithms for frictional contact 9 - Gauss-Seidel method for frictional contact problems Introduction; Contact conditions and sign conventions; Vector formulation of the load displacement equations; The Gauss-Seidel method; Linearization of the friction law; Contact algorithms; Convergence of the Gauss-Seidel method; Convergence of the block iteration method 10 - Numerical results for incremental load-histories Introduction; Spheres; Elliptical contact areas; Dissimilar materials; Torsion with shift; Flat punch; Examples for dissimilar material 11 - Basic equations and solutions for impact The principal axes of inertia and the principal curvatures; The equations of motion; Normal solution; Tangential solution for the compression phase; Restitution phase; Velocity ratio; 12 - Tangential and torsional impact of spheres Tangential contact of spheres; The equations of motion; Impact algorithm and comparison with Maw et al.; Torsion of elastic spheres; Impact with torsion; Algorithm for torsional impact; Comparison with Horak's result 13 - Numerical results for impact Verification of the Cattaneo-Mindlin theory; Impact with dissimilar materials; Torsion; Ellipsoid bodies 14 - Applications Ultrasonic motors; Granular material; Oblique impact of eccentric bodies; Self locking of brakes


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Product Details
  • ISBN-13: 9781853129940
  • Publisher: WIT Press
  • Publisher Imprint: WIT Press
  • Height: 230 mm
  • No of Pages: 332
  • Spine Width: 19 mm
  • Width: 155 mm
  • ISBN-10: 1853129941
  • Publisher Date: 30 Jun 2004
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 643 gr


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