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Author: Eduardo António Corregedor Borges Pires
Publisher:
ISBN:
Category : Friction
Languages : en
Pages : 440
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Book Description
Author: Eduardo António Corregedor Borges Pires
Publisher:
ISBN:
Category : Friction
Languages : en
Pages : 440
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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: Andrew Clifford Bolt
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 168
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Book Description
Author: J.A.C. Martinis
Publisher: Springer
ISBN: 3709125340
Category : Science
Languages : en
Pages : 297
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Book Description
The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.
Author: G. Del Piero
Publisher: Springer
ISBN: 3709129672
Category : Science
Languages : en
Pages : 314
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Book Description
The volume collects the contributions presented at the second meeting on Unilateral Problems, organized by CISM and held near Udine in June 1985. It gives an updated account of the state-of-the-art in the field of unilateral problems, with an outlook on open problems and on perspectives of application to structural analysis. The topic is presently the object of growing interest and is undergoing very rapid development. One of the most noticeable characteristics of unilateral problems is their interdisciplinary nature; they involve sophisticated mathematics, fundamental questions in mechanics, modern techniques in numerical analysis, re-inspection of the present knowledge of physical phenomena, and engineering applications. This volume succeeds in collecting and coordinating contributions from all these areas. For this reason, it is an excellent source of information for researchers working in the field.
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: Shen R. Wu
Publisher: John Wiley & Sons
ISBN: 1118382072
Category : Mathematics
Languages : en
Pages : 352
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Book Description
A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.
Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 3540317619
Category : Science
Languages : en
Pages : 393
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1134
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Book Description
Author: Jose Francisco Rodrigues
Publisher: CRC Press
ISBN: 1000158039
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
