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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.
List of contents
Discrete Coulomb frictional systems subjected to periodic loading.-Stability in unilateral contact problems with dry friction.-On a geometrically exact theory for contact interactions.-Applications of an existence result for the Coulomb friction problem.-Size-scale effects on the friction coefficient: from weak faults at the planetary scale to superlubricity at the nanoscale.-A residual type error estimate for the static Coulomb friction problem with unilateral contact.-Frictional contact problems for thin elastic structures and weak solutions of sweeping process.-Scalable TFETI algorithm for frictionless contact problems: Theory and real world problems.-T-FETI based algorithm for 3D contact problems with orthotropic friction.-A primal-dual active set strategy for finite deformation dual mortar contact.-Numerical analysis of a bone remodelling contact problem.-Postbuckling behaviour of a rectangular plate surrounded by nonlinear elastic supports.-A time-stepping scheme for multibody dynamics with unilateral constraints.-Coupled implicit variational inequalities and dynamic contact interactions in viscoelasticity.-Comparisons of contact forces during oblique impact. Experimental vs. continuum and finite element results.-Dynamic response of masonry walls in connection with reinforced concrete frames..-Beams comprising unilateral material in frictionless contact: A variational approach with constraints in dual spaces.-On the separation zones in aluminium base-plate connections. Numerical simulation and experiments.-Composite slab: a unilateral contact problem.-The influence of sliding friction on optimal topologies.-Derivation of the equation of caustics for the experimental assessment of distr.-A mathematical method for the determination of the critical axis loads of continuous beams with unilateral constraints.- for various iitial geometric imperfections.-A numerical approach to the non-convex dynamic problem of steel pile-soil interaction under environmental and second-.-order geometric effects.-Effect of different types of material hardening on hysteretic behavior of spherical contact under combined normal and tangential loading.-Modeling of piezoelectric contact problems.-A multiresolution study on the behavior of fractal interfaces with unilateral contact conditions.
Summary
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.
