Analysis and Simulation of Contact Problems

ISBN-13: 9783642068614 / Angielski / Miękka / 2010 / 398 str.

Peter Wriggers; Udo Nackenhorst

Opis

This carefully edited book offers a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented by leading scientists in the area of contact mechanics, during the 4th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005.

Spis treści

Numerical methods.- Mortar-based surface-to-surface contact algorithms in large deformation solid mechanics.- From inexact active set strategies to nonlinear multigrid methods.- On a geometrical approach in contact mechanics.- On the discretization of contact problems in elastodynamics.- Mortar methods for contact problems.- Contact mechanics for analysis of fracturing and fragmenting solids in the combined finite-discrete element method.- Numerical analysis of a dynamic viscoelastic contact problem with damage.- An energy-conserving algorithm for nonlinear elastodynamic contact problems – Extension to a frictional dissipation phenomenon.- DDM-based sensitivity analysis and optimization for smooth contact formulations.- On the modeling of contact/impact problems between rubber materials.- The quadrilateral parametric contact element based on the moving friction cone formulation.- 3D beam-to-beam contact within coupled electromechanical fields: a finite element model.- A study of symbolic description, numerical efficiency and accuracy of 2D and 3D contact formulations.- Mathematical analysis.- Existence theorems for noncoercive incremental contact problems with Coulomb friction.- Local uniqueness results for the discrete friction problem.- Analysis of a class of dynamic unilateral contact problems with friction for viscoelastic bodies.- Sthenic incompatibilities in rigid bodies motion.- Study of two quasistatic viscoplastic contact problems with adhesion.- A uniqueness criterion for the Signorini problem with Coulomb friction.- Finite element/boundary element coupling for two-body elastoplastic contact problems with friction.- Contact models, results and applications.- On the numerical simulation of non-smooth, resonant vibrations of delaminated structures.- Mesoscopic particles – a new approach for contact and friction dynamics.- On wedged configurations with Coulomb friction.- A genetic algorithm approach for wedged configurations with Coulomb friction.- Friction and contact between rough surfaces based on elastic-plastic sphere and rigid flat interaction.- TEDI (ThermoElasto-Dynamic Instability): a new mechanism for squeal & TEI.- Contact behaviour of a sliding rubber element.- Sliding friction and contact mechanics of elastomers on rough surfaces.- Unsteady rolling contact of rubber wheels.- A physicist view to tire traction.- Friction coefficient prognosis for the Grosch-wheel.- Numerical modelling of reinforced geomaterials by wires using the non smooth contact dynamics.- A unified interface constitutive law for the study of fracture and contact problems in heterogeneous materials.- Elasto-plastic contact of fractal surfaces.- A 3D study of the contact interface behavior using elastic-plastic constitutive equations.- Micromechanical analysis of deformation and temperature inhomogeneities within rough contact layers.- Micro-slip of rough surfaces under cyclic tangential loading.- Stability.- Stability of discrete systems involving shocks and friction.- On the stability of quasi-static paths of a linearly elastic system with friction.- The T.G.V. disk brake squeal.- Poster session.- Sliding path curvature dependent friction and wear.- Composition duality methods in contact mechanics.- Modeling of behaviour of the flat friction lining under the external.- The non smooth contact dynamic method: recent LMGC90 software developments and application.- Frictional contact of elastomer materials on rough rigid surfaces.- Micromechanics of internal friction stress softening and hysteresis of reinforced rubbers.- Selected contact problems in human joints after arthroplasty.- Optimal impulsive control of dynamical system in an impact phase.- Tribometric analysis of two tribo-materials with different contact geometries–critical reflection and simulation of the results.- Solvability and limit analysis of masonry bridges.- On the treatment of inelastic material behavior in an ALE-description of rolling contact.- A formulation to define the contact surface in the 2D mortar finite element method.

O autorze

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 .

Blurb

Contact mechanics was and is an important branch in mechanics which covers a broad field of theoretical, numerical and experimental investigations. In this carefully edited book the reader will obtain a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented during the 4^th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005, by leading scientists in the area of contact mechanics.