Trends In Computational Contact Mechanics

Author : Giorgio Zavarise,Peter Wriggers
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 50,5 Mb
Release : 2011-06-19
Category : Technology & Engineering
ISBN : 9783642221675

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Trends in Computational Contact Mechanics by Giorgio Zavarise,Peter Wriggers Pdf

The subject of Computational Contact Mechanics has many facets. Its main impact lies in the transfer of knowledge form theoretical research to applied sciences, and from there to industry. The application fields are literally countless, ranging from classical engineering to biomechanics and nano-sciences. The remarkable increase of computer power in recent years has been instrumental in enabling the development of simulation-based analysis in current design activity. This still involves tremendous effort in research, which focuses on, for example, multi-field and multi-scale problems, algorithmic robustness, and geometrical accuracy. Moreover, several aspects of Contact Mechanics, Debonding and Fracture Mechanics, have been combined to offer new enhanced possibilities to the computer simulation of complex phenomena. With these contributions of prominent scientists, this book offers a wide overview on the ongoing research at the highest level in the field.

Author : Alexander Konyukhov,Ridvan Izi
Publisher : John Wiley & Sons
Page : 303 pages
File Size : 49,6 Mb
Release : 2015-06-15
Category : Technology & Engineering
ISBN : 9781118770658

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Introduction to Computational Contact Mechanics by Alexander Konyukhov,Ridvan Izi Pdf

Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step-by-step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so-called covariant form, including application to high-order and isogeometric finite elements. The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis of contact problems Presents the geometrically exact theory for computational contact mechanics Describes algorithms used in well-known finite element software packages Describes modeling of forces as an inverse contact algorithm Includes practical exercises Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A Geometrical Approach is an ideal textbook for graduates and senior undergraduates, and is also a useful reference for researchers and practitioners working in computational mechanics.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 53,5 Mb
Release : 2006-10-06
Category : Technology & Engineering
ISBN : 9783540326090

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Computational Contact Mechanics by Peter Wriggers Pdf

This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields. These include civil engineering, car design, aeronautics, metal forming, or biomechanics. For this second edition, illustrative simplified examples and new discretisation schemes and adaptive procedures for coupled problems are added. This book is at the cutting edge of an area of significant and growing interest in computational mechanics.

Author : Peter Wriggers,Tod A. Laursen
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 54,5 Mb
Release : 2008-04-01
Category : Science
ISBN : 9783211772980

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Computational Contact Mechanics by Peter Wriggers,Tod A. Laursen Pdf

Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Author : Dana Mueller-Hoeppe,Stefan Loehnert,Stefanie Reese
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 48,6 Mb
Release : 2011-01-11
Category : Technology & Engineering
ISBN : 9783642174841

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Recent Developments and Innovative Applications in Computational Mechanics by Dana Mueller-Hoeppe,Stefan Loehnert,Stefanie Reese Pdf

This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 60th birthday. It contains contributions from friends and collaborators as well as current and former PhD students from almost all continents. As a very diverse group of people, the authors cover a wide range of topics from fundamental research to industrial applications: contact mechanics, finite element technology, micromechanics, multiscale approaches, particle methods, isogeometric analysis, stochastic methods and further research interests. In summary, the volume presents an overview of the international state of the art in computational mechanics, both in academia and industry.

Author : Fadi Aldakheel,Blaž Hudobivnik,Meisam Soleimani,Henning Wessels,Christian Weißenfels,Michele Marino
Publisher : Springer Nature
Page : 587 pages
File Size : 52,6 Mb
Release : 2022-03-12
Category : Science
ISBN : 9783030873127

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Current Trends and Open Problems in Computational Mechanics by Fadi Aldakheel,Blaž Hudobivnik,Meisam Soleimani,Henning Wessels,Christian Weißenfels,Michele Marino Pdf

This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 70th birthday. Thanks to his high dedication to research, over the years Peter Wriggers has built an international network with renowned experts in the field of computational mechanics. This is proven by the large number of contributions from friends and collaborators as well as former PhD students from all over the world. The diversity of Peter Wriggers network is mirrored by the range of topics that are covered by this book. To name only a few, these include contact mechanics, finite & virtual element technologies, micromechanics, multiscale approaches, fracture mechanics, isogeometric analysis, stochastic methods, meshfree and particle methods. Applications of numerical simulation to specific problems, e.g. Biomechanics and Additive Manufacturing is also covered. The volume intends to present an overview of the state of the art and current trends in computational mechanics for academia and industry.

Author : Alexander Konyukhov,Karl Schweizerhof
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 50,8 Mb
Release : 2012-08-14
Category : Science
ISBN : 9783642315312

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Computational Contact Mechanics by Alexander Konyukhov,Karl Schweizerhof Pdf

This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation. The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics.

Author : Tod A. Laursen
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 49,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662048641

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Computational Contact and Impact Mechanics by Tod A. Laursen Pdf

Many physical systems require the description of mechanical interaction across interfaces if they are to be successfully analyzed. Examples in the engineered world range from the design of prosthetics in biomedical engi neering (e. g. , hip replacements); to characterization of the response and durability of head/disk interfaces in computer magnetic storage devices; to development of pneumatic tires with better handling characteristics and increased longevity in automotive engineering; to description of the adhe sion and/or relative slip between concrete and reinforcing steel in structural engineering. Such mechanical interactions, often called contact/impact in teractions, usually necessitate at minimum the determination of areas over which compressive pressures must act to prevent interpenetration of the mechanical entities involved. Depending on the application, frictional be havior, transient interaction of interfaces with their surroundings (e. g. , in termittent stick/slip), thermo-mechanical coupling, interaction with an in tervening lubricant and/or fluid layer, and damage of the interface (i. e. , wear) may also be featured. When taken together (or even separately!), these features have the effect of making the equations of mechanical evolu tion not only highly nonlinear, but highly nonsmooth as well. While many modern engineering simulation packages possess impressive capabilities in the general area of nonlinear mechanics, it can be contended that methodologies typically utilized for contact interactions are relatively immature in comparison to other components of a nonlinear finite element package, such as large deformation kinematics, inelastic material modeling, nonlinear equation solving, or linear solver technology.

Author : World congress on computational mechanics
Publisher : Unknown
Page : 37 pages
File Size : 47,9 Mb
Release : 1998
Category : Engineering design
ISBN : 8489925151

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Computational Mechanics[ by World congress on computational mechanics Pdf

Author : Vladislav A. Yastrebov
Publisher : John Wiley & Sons
Page : 303 pages
File Size : 54,6 Mb
Release : 2013-02-13
Category : Mathematics
ISBN : 9781118648056

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Numerical Methods in Contact Mechanics by Vladislav A. Yastrebov Pdf

Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems. This book covers all the basic ingredients of contact and computational contact mechanics: from efficient contact detection algorithms and classical optimization methods to new developments in contact kinematics and resolution schemes for both sequential and parallel computer architectures. The book is self-contained and intended for people working on the implementation and improvement of contact algorithms in a finite element software. Using a new tensor algebra, the authors introduce some original notions in contact kinematics and extend the classical formulation of contact elements. Some classical and new resolution methods for contact problems and associated ready-to-implement expressions are provided. Contents: 1. Introduction to Computational Contact. 2. Geometry in Contact Mechanics. 3. Contact Detection. 4. Formulation of Contact Problems. 5. Numerical Procedures. 6. Numerical Examples. About the Authors Vladislav A. Yastrebov is a postdoctoral-fellow in Computational Solid Mechanics at MINES ParisTech in France. His work in computational contact mechanics was recognized by the CSMA award and by the Prix Paul Caseau of the French Academy of Technology and Electricité de France.

Author : Bilen Emek Abali,Ivan Giorgio
Publisher : Springer Nature
Page : 491 pages
File Size : 55,8 Mb
Release : 2020-07-18
Category : Science
ISBN : 9783030504601

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Developments and Novel Approaches in Nonlinear Solid Body Mechanics by Bilen Emek Abali,Ivan Giorgio Pdf

This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing—for example, 3D printing— and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.

Author : Erwin Stein
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 46,7 Mb
Release : 2013-12-04
Category : Science
ISBN : 9783642399053

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The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering by Erwin Stein Pdf

This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.

Author : Rodriguez-tembleque Luis,Aliabadi M H Ferri
Publisher : World Scientific
Page : 416 pages
File Size : 44,8 Mb
Release : 2018-04-20
Category : Science
ISBN : 9781786344793

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Advances In Computational Coupling And Contact Mechanics by Rodriguez-tembleque Luis,Aliabadi M H Ferri Pdf

This book presents recent advances in the field of computational coupling and contact mechanics with particular emphasis on numerical formulations and methodologies necessary to solve advanced engineering applications. Featuring contributions from leading experts and active researchers in these fields who provide a detailed overview of different modern numerical schemes that can be considered by main numerical methodologies to simulate interaction problems in continuum mechanics. A number of topics are addressed, including formulations based on the finite element method (FEM) and their variants (e.g. isogeometric analysis or standard and generalized high-order FEM: hp-FEM and GFEM, respectively), the boundary element method (BEM), the material point method (MPM) or the recently proposed finite block method (FBM), among many more. Written with PhD students in mind, Advances in Computational Coupling and Contact Mechanics also includes the most recent numerical techniques which could be served as reference material for researchers and practicing engineers. All chapters are self-contained and can be read independently, with numerical formulations accompanied by practical engineering applications. Contents: Frictional Mortar Formulation for Large Inelastic Deformation Problems (T Doca and F M A Pires)Standard and Generalized High-order Mortar-based Finite Elements in Computational Contact Mechanics (A P C Dias, S P B Proenca and M L Bittencourt)A Large Deformation Frictionless Contact Treatment In NURBS-based Isogeometric Analysis (J Kopačka, D Gabriel, R Kolman and J Plesek)Treatment of Non-matching Interfaces in Partitioned Fluid-Structure Interaction Problems (J A González and K C Park)An Eulerian-based Thermo-flexible Multi-body Approach for Simulating Rig Testing of Disc Brakes (N Strömberg)Nonlinear Analysis with Functionally Graded Materials by Finite Block Method (J Li, J Jin, J J Yang, T Huang and P H Wen)A Coupled Finite Element Material Point Method for Large Deformation Problems (Y Lian and X Zhang)Fracture and Contact in the Material Point Method: New Approaches and Applications (M A Homel and E B Herbold)A Cohesive-frictional Grain-boundary Technique for Microstructural Analysis of Polycrystalline Materials (I Benedetti)Piezoelectric and Magneto-electro-elastic Frictional Contact Modelling (L Rodríguez-Tembleque, F C Buroni, A Sáez and M H Ferri Aliabadi) Readership: PhD students in computational mechanics; researchers and practicing engineers. Keywords: Contact Mechanics;Friction;Cohesive-Frictional Contact;Coupling Non-Matching Interfaces;Mortar formulations;Localized Lagrange Multipliers;Isogeometric Contact Analysis;Thermomechanical Contact;Finite Element Method;Finite Block Method;Material Point Method;Multi-Body Approach;Boundary Element Method;Large Inelastic Deformation;Microstructural Analysis of Polycrystalline Materials;Impact Problems;Fragmentation and Comminution Processes;Fluid-Structure Interaction Problems;Disc Brakes Testing;Functionally Graded Materials;Piezoelectric and Magneto-Electro-Elastic MaterialsReview:0

Author : M. H. Aliabadi,C. Alessandri
Publisher : Computational Mechanics
Page : 494 pages
File Size : 43,8 Mb
Release : 1995
Category : Contact mechanics
ISBN : 1853123269

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Contact Mechanics II by M. H. Aliabadi,C. Alessandri Pdf

Conference proceedings including papers on mechanical models such as rolling, impact and shock, unilateral contact; numerical models such as finite element method, boundary element method, and the integral equations; engineering applications such as fracture mechanics and composite materials and mathematical models.

Author : Peter Wriggers,Udo Nackenhorst
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 50,9 Mb
Release : 2006-08-15
Category : Science
ISBN : 9783540317616

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Analysis and Simulation of Contact Problems by Peter Wriggers,Udo Nackenhorst Pdf

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.