Recent Advances in Contact Mechanics [electronic resource] : Papers Collected at the 5th Contact Mechanics International Symposium (CMIS2009), April 28-30, 2009, Chania, Greece /
Contact Mechanics International Symposium (CMIS2009)(5th :2009 :Chania, Greece)
Stavroulakis, Georgios E.editor.
Contact mechanics is an active research area with deep theoretical and numerical roots. The links between nonsmooth analysis and optimization with mechanics have been investigated intensively during the last decades, especially in Europe. The study of complementarity problems, variational -, quasivariational- and hemivariational inequalities arising in contact mechanics and beyond is a hot topic for interdisciplinary research and cooperation. The needs of industry for robust solution algorithms suitable for large scale applications and the regular updates of the respective elements in major commercial computational mechanics codes, demonstrate that this interaction is not restricted to the academic environment. The contributions of this book have been selected from the participants of the CMIS 2009 international conference which took place in Crete and continued a successful series of specialized contact mechanics conferences.
Description based upon print version of record.
Title Page; Introduction; Contents; Discrete Coulomb Frictional Systems Subjected to Periodic Loading; Introduction; Shakedown and Melan's Theorem; Coupled Systems; Existence, Uniqueness and Wedging; Ratcheting; Conclusions; References; Stability in Unilateral Contact Problems with Dry Friction; Introduction; The Case of a Simple Model; Adding a Constant Perturbation; Adding a Piecewise Constant Oscillating Perturbation; Adding Any Perturbation; More Complex Systems; A Slightly More Complicated Mass-Spring System; A Model with Higher Degrees of Freedom; Conclusion; References
On a Geometrically Exact Theory for Contact InteractionsOn Geometrical Approaches in Contact Mechanics; Bottleneck: Consistent Linearization; Development of the Geometrically Exact Theory; Goals of the Geometrically Exact Theory; Overview of the Development; Conclusion; References; Applications of an Existence Result for the Coulomb Friction Problem; Introduction, Motivations; The Coulomb Friction Incremental Problem; Existence Criterion; Statement; Gist of the Proof; Stability; Instances of the Incremental Problem; Time-Discretized Dynamics of Rigid and Flexible Bodies
Quasi-statics of Flexible BodiesChecking the Criterion by Hand; Frictionless Case; A Painlevé-like Example; Non-existence; External Objects with Rigid Motion; Deformable Solids; When the Criterion Does Not (Obviously) Apply; Non-uniqueness; Checking the Criterion Computationally; Optimization Problem; Solvers; Conclusion; References; Size-Scale Effects on the Friction Coefficient: From Weak Faults at the Planetary Scale to Superlubricity at the Nanoscale; Introduction; Size-Scale Effects on the Friction Coefficient at the Macro and Planetary Scales
Size-Scale Effects on the Friction Coefficient at the Micro and NanoscalesComparison between the Obtained Scaling Laws; Conclusions; References; A Residual Type Error Estimate for the Static Coulomb Friction Problem with Unilateral Contact; Introduction; The Static Coulomb Friction Problem with Unilateral Contact; Mixed Finite Element Approximation; The Residual Error Estimator; Numerical Experiments; Conclusion and Perspectives; References; Frictional Contact Problems for Thin Elastic Structures and Weak Solutions of Sweeping Process; Background; The Basic Evolution Problem
Weak Solutions of Sweeping ProcessFrictional Contact Problems for the Elastic String; An Example with Explicit Strong Solution; An Example with Weak Solution Only; Replacing the String by a Beam; References; Scalable TFETI Algorithm for Frictionless Contact Problems: Theory and RealWorld Problems; Introduction; TFETI and Contact Problems; Optimal Solvers; Optimality; Stabilization of the Action of the Generalized Inverse; Numerical Experiments; Comments and Conclusions; References; T-FETI Based Algorithm for 3D Contact Problems with Orthotropic Friction; Introduction; Problem Formulation
Domain Decomposition and Discretization
Includes bibliographical references and index.
Contact mechanics is an active research area with deep theoretical and numerical roots. The links between nonsmooth analysis and optimization with mechanics have been investigated intensively during the last decades, especially in Europe. The study of complementarity problems, variational -, quasivariational- and hemivariational inequalities arising in contact mechanics and beyond is a hot topic for interdisciplinary research and cooperation. The needs of industry for robust solution algorithms suitable for large scale applications and the regular updates of the respective elements in major commercial computational mechanics codes, demonstrate that this interaction is not restricted to the academic environment. The contributions of this book have been selected from the participants of the CMIS 2009 international conference which took place in Crete and continued a successful series of specialized contact mechanics conferences.
Mechanics.
Mechanics, Applied.
Civil engineering.
Mechanical engineering.
Solid Mechanics.
Civil Engineering.
Mechanical Engineering.
Classical Mechanics.
Lecture Notes in Applied and Computational Mechanics