Dynamic Frictional Contact Problems Involving Metallic Bodies PDF Download
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Author: João Arménio Correia Martins
Publisher:
ISBN:
Category : Friction
Languages : en
Pages : 494
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Book Description
Author: João Arménio Correia Martins
Publisher:
ISBN:
Category : Friction
Languages : en
Pages : 494
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Book Description
Author: N. Kikuchi
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508
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Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Author: H. Antes
Publisher: Birkhäuser
ISBN: 3034886500
Category : Science
Languages : en
Pages : 313
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Book Description
The fields of boundary integral equations and of inequality problems, or more gen erally, of nonsmooth mechanics, have seen, in a remarkably short time, a considerable development in mathematics and in theoretical and applied mechanics. The engineering sciences have also benefited from these developments in that open problems have been attacked succesfully and entirely new methodologies have been developed. The contact problems of elasticity is a class of problems which has offered many open questions to deal with, both to the research workers working on the theory of boundary integral equations and to those working on the theory of inequality problems. Indeed, the area of static and dynamic contact problems could be considered as the testing workbench of the new developments in both the inequality problems and in the boundary integral equations. This book is a first attempt to formulate and study the boundary integral equations arising in inequality contact problems. The present book is a result of more than two decades of research and teaching activity of the first author on boundary integral equations and, of the second author, on inequality problems, as well as the outgrowth of seminars and courses for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessa loniki, the Universities of Bochum, of Hamburg and Braunschweig, the Pontificia Univ. Catolica in Rio de Janeiro etc.
Author: Walter Sextro
Publisher: Springer Science & Business Media
ISBN: 3540468714
Category : Science
Languages : en
Pages : 163
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Book Description
The aim of this book is to describe an efficient procedure to model dynamical contact problems with friction. This procedure is applied to different practical problems and validated by experiments. Friction contacts are used to transmit forces or to dissipate energy. Examples for dynamical engineering systems with friction are brakes, machine tools, motors, turbines, bearings or wheel-rail systems. A better understanding of friction phenomena can result in improvements like the reduction of noise and maintenance costs, increased life time of machines and improved energy efficiency. Dependent on the features of the friction contact, different contact models and solution methods are applied.
Author: A.P.S. Selvadurai
Publisher: Elsevier
ISBN: 148328994X
Category : Science
Languages : en
Pages : 256
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Book Description
The category of problems which examines the mechanical behaviour of contact regions constitutes an important branch of applied mechanics with extensive engineering applications. The results of such research can be applied to the study of mechanics of composite materials, tribology, soil-foundation interaction, mechanics of rock interfaces, modelling of damage phenomena and micro-mechanics. In classical studies, the modelling of interface responses has focussed on purely idealized forms of interface phenomena which range from frictionless contact to bonded contact, with Coulomb friction or finite friction occupying an intermediate position. Current research has attempted to improve such modelling by endowing the interface with its own characteristic constitutive responses. This research indicates the significant manner in which non linear, frictional, dilatant, hardening and softening interface constitutive responses can influence the global and local interface responses of engineering interest. The technical sessions held in New Mexico (sponsored by the Elasticity Committee of the Engineering Mechanics Division of the American Society of Civil Engineers) brought together new advances in the theoretical formulation, analysis and the application of material interface modelling to problems of engineering interest. This book contains the papers presented plus invited contributions from leading researchers.
Author: Panagiotis D. Panagiotopoulos
Publisher: Springer Science & Business Media
ISBN: 3642516777
Category : Technology & Engineering
Languages : en
Pages : 453
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Book Description
The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities.
Author: Jeff Trinkle
Publisher:
ISBN:
Category :
Languages : en
Pages : 94
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 860
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Book Description
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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Book Description
Nonclassical Friction Laws: In order to overcome mathematical and numerical difficulties inherent in classical friction laws when applied to contact problems in continuum mechanics and to apply more physically reasonable simulations of dry static contact on metallic surfaces, new nonclassical friction laws were derived and implemented in an analysis of a wide class of contact problems in elastostatics. A complete theory was developed including existence theorems, approximation theorems, error estimates, algorithms, and finite element computer codes. Quasi-Static Friction Problems: New variational principles were derived for numerical simulation cyclic loading of metallic bodies in contact on surfaces on which nonclassical friction laws were assumed to hold. Finite element methods were developed using these formulations and several numerical examples were studied. Plasticity Models of Friction: Two friction models of friction effects on metallic surfaces subjected to quasi-static load reversals were developed and implemented in finite element analyses. Thorough theoretical analysis of one of these was completed, and one formulation was sufficiently general to take into account large elastoplastic deformations. Dynamic Friction: A general variational principle for elastodynamic contact problems with friction was derived and used to develop new finite element methods for such problems. Error estimates and dynamic stability criteria were investigated. Extensions to problems with velocity-dependent friction coefficients were studied numerically.
Author: Alain Curnier
Publisher: PPUR
ISBN:
Category : Contact mechanics
Languages : en
Pages : 536
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Book Description
