Contact mechanics
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Welcome to this learning project about Contact mechanics!
Introduction[edit  edit source]
Contact Mechanics deals with problems arising due to two bodies (or media, in general) are in contact. The contact can be between two solids or two fluids or between a solid and fluid. Due to the nonlinear nature of contact, analytical solutions are derivable only for simple situations. However computational methods are being widely used today to deal with contact problems.
Project metadata[edit  edit source]
Educational level: this is a tertiary (university) resource. 
 Suggested Prerequisites:
 Time investment: 6 months
 Portal: Engineering and Technology
 School: Engineering
 Department: Mechanical engineering
 Level: Senior year undergraduate and graduate students
Content summary[edit  edit source]
This is an introductory course on contact mechanics and addresses problems of contact between two or more solid bodies. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.
Goals[edit  edit source]
This learning project aims to.
 provide the mathematical foundations for analytical solutions to contact problems
 expose students to some of the recent trends and research areas in contact mechanics
 provides a foundation to further pursue a course on computational contact mechanics
Contents[edit  edit source]


Textbooks and References[edit  edit source]
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Textbooks[edit  edit source]
 Contact Mechanics by K. L. Johnson, Cambridge University Press, 1987, ISBN 0521347963
References[edit  edit source]
 Computational Contact Mechanics:
 A Guide for Engineers to Computational Contact Mechanics by G. Zavarise, P. Wriggers and U. Nackenhorst, The TCN series on simulation based engineering and sciences, 2006, ISBN13 9788895176000.
 Computational Contact Mechanics by P. Wriggers, Springer, 2002, ISBN13 9783540326083
 Computational Contact and Impact Mechanics by T. A. Laursen, Springer, 2002, ISBN13 9783662048641
 Nonlinear Finite Element Analysis:
 J. N. Reddy (2004), An Introduction to Nonlinear Finite Element Analysis, Oxford University Press
 T. Belytschko, W. K. Liu, and B. Moran (2000), Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons
 T. J. R. Hughes (2000), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover Publications
 Finite Element Analysis:
 KJ. Bathe (1996), Finite Element Procedures, PrenticeHall
 J. N. Reddy (1993), An Introduction to the Finite Element Method, McGrawHill
 O. C. Zienkiewicz and R. L. Taylor (2000), The Finite Element Method: Volume 2 Solid Mechanics, ButterworthHeinemann
 S. C. Brenner and L. R. Scott (2007), The mathematical theory of finite element methods, vol. 15 of Texts in Applied Mathematics, SpringerVerlag
 Continuum Mechanics:
 A.J.M Spencer (2004), Continuum Mechanics, Dover Publications.
 L.E. Malvern (1969), Introduction to the Mechanics of a Continuous Medium, PrenticeHall
 Mathematics:
 B. Daya Reddy (1998), Introductory Functional Analysis: With applications to boundary value problems and finite elements. , SpringerVerlag