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Finite Element Method Solution Of Linearly Elastic Contact Problems With Friction
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Book Synopsis Contact Problems in Elasticity by : N. Kikuchi
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finite Element Approximation of Contact and Friction in Elasticity by : Franz Chouly
Download or read book Finite Element Approximation of Contact and Friction in Elasticity written by Franz Chouly and published by Springer Nature. This book was released on 2023-06-23 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Book Synopsis The Finite Element Method for Solid and Structural Mechanics by : O. C. Zienkiewicz
Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
Book Synopsis Mechanics of Elastic Contacts by : A. SACKFIELD
Download or read book Mechanics of Elastic Contacts written by A. SACKFIELD and published by Elsevier. This book was released on 2013-10-22 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Materials and mechanical engineering researchers studying wear, fretting, elastic indentation testing and other tribological processes frequently need closed-form solutions for various attributes of contacts. These characteristics include contact law, pressure distribution, internal state of stress induced and the influence of friction. Materials and mechanical engineering researchers studying wear, fretting, elastic indentation testing and other tribological processes frequently need closed-form solutions for various attributes of contacts. These characteristics include contact law, pressure distribution, internal state of stress induced and the influence of friction. These solutions, scattered throughout the applied mechanics literature, are difficult to locate, are presented using a range of solution techniques, and express results in a way that is suitable only for experts in the field. `Mechanics of Elastic Contacts' uses a consistent set of recipes for the solution of all relevant problems, presents results in the simplest possible forms, and contains summaries using tabulated data. This reference source will provide a clear guide to elastic contacts for engineering designers, materials scientists and tribologists irrespective of their level of expertise in this important subject.
Book Synopsis Modeling and Simulation of Tribological Problems in Technology by : Marco Paggi
Download or read book Modeling and Simulation of Tribological Problems in Technology written by Marco Paggi and published by Springer. This book was released on 2019-06-26 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conveys, in a self-contained manner, the fundamental concepts for classifying types of contact, the essential mathematical methods for the formulation of contact problems, and the numerical methods required for their solution. In addition to the methodologies, it covers a broad range of applications, including contact problems in mechanical engineering, microelectronics and nanomechanics. All chapters provide both substantial background on the theory and numerical methods, and in-depth treatments of cutting-edge research topics and applications. The book is primarily intended for doctoral students of applied mathematics, mechanics, engineering and physics with a strong interest in the theoretical modelling, numerical simulation and experimental characterization of contact problems in technology. It will also benefit researchers in the above mentioned and neighbouring fields working in academia or at private research and development centres who are interested in a concise yet comprehensive overview of contact mechanics, from its fundamental mathematical background, to the computational methods and the experimental techniques currently available for the solution of contact problems.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Developments in Contact Problems by : Peter Wriggers
Download or read book New Developments in Contact Problems written by Peter Wriggers and published by Springer. This book was released on 2014-05-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives an overview on formulation, mathematical analysis and numerical solution procedures of contact problems. In this respect the book should be of value to applied mathematicians and engineers who are concerned with contact mechanics.
Book Synopsis Refined Dynamical Theories of Beams, Plates and Shells and Their Applications by : Isaac Elishakoff
Download or read book Refined Dynamical Theories of Beams, Plates and Shells and Their Applications written by Isaac Elishakoff and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is known, classical theories of vibration of the most fre quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.
Book Synopsis Advances and Trends in Structures and Dynamics by : Ahmed K. Noor
Download or read book Advances and Trends in Structures and Dynamics written by Ahmed K. Noor and published by Elsevier. This book was released on 2013-10-22 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances and Trends in Structures and Dynamics contains papers presented at the symposium on Advances and Trends in Structures and Dynamics held in Washington, D.C., on October 22-25, 1984. Separating 67 papers of the symposium as chapters, this book documents some of the major advances in the structures and dynamics discipline. The chapters are further organized into 13 parts. The first three parts explore the trends and advances in engineering software and hardware; numerical analysis and parallel algorithms; and finite element technology. Subsequent parts show computational strategies for nonlinear and fracture mechanics problems; mechanics of materials and structural theories; structural and dynamic stability; multidisciplinary and interaction problems; composite materials and structures; and optimization. Other chapters focus on random motion and dynamic response; tire modeling and contact problems; damping and control of spacecraft structures; and advanced structural applications.
Book Synopsis Algorithms for Approximation by : Armin Iske
Download or read book Algorithms for Approximation written by Armin Iske and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.
Book Synopsis Nonlinear Structural Dynamics and Damping by : Juan Carlos Jauregui
Download or read book Nonlinear Structural Dynamics and Damping written by Juan Carlos Jauregui and published by Springer. This book was released on 2019-03-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.
Book Synopsis Elastic Contact Problems of Layered Solids by : Lanshi Zheng
Download or read book Elastic Contact Problems of Layered Solids written by Lanshi Zheng and published by . This book was released on 2001 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extended Finite Element Method by : Amir R. Khoei
Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples
Book Synopsis Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity by : Weimin Han
Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.
Book Synopsis Difference Equations, Discrete Dynamical Systems and Applications by : Sorin Olaru
Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Sorin Olaru and published by Springer Nature. This book was released on with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Mechanics by : Zhenhan Yao
Download or read book Computational Mechanics written by Zhenhan Yao and published by 清华大学出版社有限公司. This book was released on 2004 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
