Unilateral Contact Problems: Variational Methods And Existence Theorems (chapman & Hall/crc Pure And Applied Mathematics)
by Christof Eck /
2005 / English / PDF
6.6 MB Download
The mathematical analysis of contact problems, with or without
friction, is an area where progress depends heavily on the
integration of pure and applied mathematics. This book presents the
state of the art in the mathematical analysis of unilateral contact
problems with friction, along with a major part of the analysis of
dynamic contact problems without friction.
The mathematical analysis of contact problems, with or without
friction, is an area where progress depends heavily on the
integration of pure and applied mathematics. This book presents the
state of the art in the mathematical analysis of unilateral contact
problems with friction, along with a major part of the analysis of
dynamic contact problems without friction.
Much of this monograph emerged from the authors' research
activities over the past 10 years and deals with an approach proven
fruitful in many situations. Starting from thin estimates of
possible solutions, this approach is based on an approximation of
the problem and the proof of a moderate partial regularity of the
solution to the approximate problem. This in turn makes use of the
shift (or translation) technique - an important yet often
overlooked tool for contact problems and other nonlinear problems
with limited regularity. The authors pay careful attention to
quantification and precise results to get optimal bounds in
sufficient conditions for existence theorems.
Much of this monograph emerged from the authors' research
activities over the past 10 years and deals with an approach proven
fruitful in many situations. Starting from thin estimates of
possible solutions, this approach is based on an approximation of
the problem and the proof of a moderate partial regularity of the
solution to the approximate problem. This in turn makes use of the
shift (or translation) technique - an important yet often
overlooked tool for contact problems and other nonlinear problems
with limited regularity. The authors pay careful attention to
quantification and precise results to get optimal bounds in
sufficient conditions for existence theorems.
Unilateral Contact Problems: Variational Methods and Existence
Theorems a valuable resource for scientists involved in the
analysis of contact problems and for engineers working on the
numerical approximation of contact problems. Self-contained and
thoroughly up to date, it presents a complete collection of the
available results and techniques for the analysis of unilateral
contact problems and builds the background required for further
research on more complex problems in this area.
Unilateral Contact Problems: Variational Methods and Existence
Theorems a valuable resource for scientists involved in the
analysis of contact problems and for engineers working on the
numerical approximation of contact problems. Self-contained and
thoroughly up to date, it presents a complete collection of the
available results and techniques for the analysis of unilateral
contact problems and builds the background required for further
research on more complex problems in this area.
