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Contact mechanics has its application in many engineering problems. No one can walk without frictional contact, and no car would move for the same r- son. Hence contact mechanics has, from an engineering point of view, a long history, beginning in ancient Egypt with the movement of large stone blocks, over ?rst experimental contributions from leading scientists like Leonardo da Vinci andCoulomb, to today's computational methods. In the past c- tact conditions were often modelled in engineering analysis by more simple boundary conditions since analytical solutions were not present for real world applications. In such cases, one investigated contact as a local problem using the stress and strain ?elds stemming from the analysis which was performed for the entire structure. With the rapidly increasing power of moderncomp- ers, more and more numerical simulations in engineering can include contact constraints directly, which make the problems nonlinear. This book is an account of the modern theory of nonlinear continuum mechanics and its application to contact problems, as well as of modern s- ulation techniques for contact problems using the ?nite element method. The latter includes a variety of discretization techniques for small and large def- mation contact. Algorithms play another prominent role whenrobustand- cient techniques have to be designed for contact simulations. Finally, adaptive methods based on error controlled ?nite element analysis and mesh adaption techniques are of great interest for the reliable numerical solution of contact problems.
List of contents
to Contact Mechanics.- Continuum Solid Mechanics and Weak Forms.- Contact Kinematics.- Constitutive Equations for Contact Interfaces.- Contact Boundary Value Problem and Weak Form.- Discretization of the Continuum.- Discretization, Small Deformation Contact.- Discretization, Large Deformation Contact.- Solution Algorithms.- Thermo-mechanical Contact.- Beam Contact.- Computation of Critical Points with Contact Constraints.- Adaptive Finite Element Methods for Contact Problems.
About the author
§Prof. Dr.-Ing. Peter Wriggers studierte Bauingenieur- und Vermessungswesen, promovierte 1980 an der Universität Hannover und habilitierte 1986 im FachMechanik. Er war GastprofessoranderUCBerkeley, USA,Professor fürMechanik an der TH Darmstadt und Direktor des Darmstädter Zentrums für Wissenschaftliches Rechnen. Seit 1998 ist er Professor für Baumechanik und NumerischeMechanik sowieDirektor des Zentrums für Computational Engineering Sciences an der Universität Hannover. Er ist Mitherausgeber von internationalen Journals und Editor-in-Chief der Zeitschrift Computational Mechanics .
Summary
This is the second edition of a valuable reference source for numerical simulations of contact mechanics useful in fields like civil engineering, car design, aeronautics, metal forming, or biomechanics. Boundary value problems involving contact are of great importance in industrial applications in engineering such as bearings, metal forming processes, rubber seals, drilling problems, crash analysis of cars, rolling contact between car tires and the road, cooling of electronic devices. Other applications are related to biomechanical engineering design where human joints, and implants of teeth are of consideration.
Additional text
From the reviews of the second edition:
"The book is not simply a monograph reviewing the author’s distinguished research career, but a true textbook covering the research of the major players in computational contact mechanics over the last 25 years and offers an extensive list of references. … If I were given the opportunity to teach an advanced special topics course on finite element methods, I wouldn’t hesitate to use this book. For a researcher … the text provides an excellent review." (David J. Benson, SIAM Review, Vol. 49 (2), 2007)
Report
From the reviews of the second edition:
"The book is not simply a monograph reviewing the author's distinguished research career, but a true textbook covering the research of the major players in computational contact mechanics over the last 25 years and offers an extensive list of references. ... If I were given the opportunity to teach an advanced special topics course on finite element methods, I wouldn't hesitate to use this book. For a researcher ... the text provides an excellent review." (David J. Benson, SIAM Review, Vol. 49 (2), 2007)
