Models and Contacts

Models and Contacts PDF

Author: Rina Drory

Publisher: BRILL

Published: 2000

Total Pages: 292

ISBN-13: 9789004117389

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Medieval Jewish literature from the 10th century onwards drew heavily on Arabic literary models. This important new study discusses the impact of Arabic literature on Jewish literature and medieval Jewish culture.

Models and Analysis of Quasistatic Contact

Models and Analysis of Quasistatic Contact PDF

Author: Meir Shillor

Publisher: Springer Science & Business Media

Published: 2004-09-16

Total Pages: 288

ISBN-13: 9783540229155

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The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.

Mathematical Models in Contact Mechanics

Mathematical Models in Contact Mechanics PDF

Author: Mircea Sofonea

Publisher: Cambridge University Press

Published: 2012-09-13

Total Pages: 295

ISBN-13: 1139577204

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This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems.

Contact Force Models for Multibody Dynamics

Contact Force Models for Multibody Dynamics PDF

Author: Paulo Flores

Publisher: Springer

Published: 2016-03-15

Total Pages: 177

ISBN-13: 3319308971

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This book analyzes several compliant contact force models within the context of multibody dynamics, while also revisiting the main issues associated with fundamental contact mechanics. In particular, it presents various contact force models, from linear to nonlinear, from purely elastic to dissipative, and describes their parameters. Addressing the different numerical methods and algorithms for contact problems in multibody systems, the book describes the gross motion of multibody systems by using a two-dimensional formulation based on the absolute coordinates and employs different contact models to represent contact-impact events. Results for selected planar multibody mechanical systems are presented and utilized to discuss the main assumptions and procedures adopted throughout this work. The material provided here indicates that the prediction of the dynamic behavior of mechanical systems involving contact-impact strongly depends on the choice of contact force model. In short, the book provides a comprehensive resource for the multibody dynamics community and beyond on modeling contact forces and the dynamics of mechanical systems undergoing contact-impact events.

Modeling Contacts in a Physically Based Simulation

Modeling Contacts in a Physically Based Simulation PDF

Author: William J. Bouma

Publisher:

Published: 1992

Total Pages: 18

ISBN-13:

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We then address the geometric issues in contact analysis and present the model for contact. Since the objects can be nonconvex, the contact can be quite complex geometrically; a complete set-theoretic intersection is computed and its results analyzed. Finally we show how a robust and efficient implementation can be achieved using the brep-index data structure."

On the Use of Model Order Reduction Techniques for the Elastohydrodynamic Contact Problem

On the Use of Model Order Reduction Techniques for the Elastohydrodynamic Contact Problem PDF

Author: Maier, Daniel

Publisher: KIT Scientific Publishing

Published: 2015-05-12

Total Pages: 182

ISBN-13: 3731503697

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The objective of this work is to develop a method which solves the nonlinear elastohydrodynamic contact problem in a fast and precise way using model order reduction techniques. The reduction procedure is based on a projection onto a low-dimensional subspace using different hyper-reduction procedures. The method provides fast and highly accurate reduced order models for stationary and transient, Newtonian and Non-Newtonian EHD line and point contact problems.

Particles in Contact

Particles in Contact PDF

Author: Sergiy Antonyuk

Publisher: Springer

Published: 2019-07-31

Total Pages: 662

ISBN-13: 3030158993

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This book contains the latest scientific findings in the area of granular materials, their physical fundamentals and applications in particle technology focused on the description of interactions of fine adhesive particles.In collaboration between physicists, chemists, mathematicians and mechanics and process engineers from 24 universities, new theories and methods for multiscale modeling and reliable measurement of particles are developed, with a focus on:• Basic physical-chemical processes in the contact zone: particle-particle and particle-wall contacts,• Particle collisions and their dynamics• Constitutive material laws for particle systems on the macro level.