Computational Contact Mechanics

Peter Wriggers (Autor)

Buch | Softcover

XII, 518 Seiten

2010 | 2. Second Edition 2006
Springer Berlin (Verlag)
978-3-642-06904-8 (ISBN)

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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.

Peter Wriggers is the internationally most rocognised German scientist in the field of computer-based structural mechanics.

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.

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)

Erscheint lt. Verlag	14.10.2010
Zusatzinfo	XII, 518 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	791 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Themenwelt	Technik ► Maschinenbau
Schlagworte	adaptive finite elements • Biomechanics • Complex Geometries • Design • finite elements • mechanical engineering • Mechanics • Numerical simulations • Simulation
ISBN-10	3-642-06904-5 / 3642069045
ISBN-13	978-3-642-06904-8 / 9783642069048
Zustand	Neuware