Trends in Computational Contact Mechanics

Trends in Computational Contact Mechanics
Author: Giorgio Zavarise
Publisher: Springer Science & Business Media
Total Pages: 357
Release: 2011-06-19
Genre: Technology & Engineering
ISBN: 364222167X

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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.

Computational Contact Mechanics

Computational Contact Mechanics
Author: Peter Wriggers
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2006-10-06
Genre: Technology & Engineering
ISBN: 354032609X

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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.

Current Trends and Open Problems in Computational Mechanics

Current Trends and Open Problems in Computational Mechanics
Author: Fadi Aldakheel
Publisher: Springer Nature
Total Pages: 587
Release: 2022-03-12
Genre: Science
ISBN: 3030873129

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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.

Computational Contact and Impact Mechanics

Computational Contact and Impact Mechanics
Author: Tod A. Laursen
Publisher: Springer Science & Business Media
Total Pages: 466
Release: 2013-03-14
Genre: Science
ISBN: 3662048647

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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.

Introduction to Computational Contact Mechanics

Introduction to Computational Contact Mechanics
Author: Alexander Konyukhov
Publisher: John Wiley & Sons
Total Pages: 304
Release: 2015-04-24
Genre: Technology & Engineering
ISBN: 1118770633

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Introduction to Computational Contact Mechanics: A GeometricalApproach covers the fundamentals of computational contactmechanics and focuses on its practical implementation. Part one ofthis textbook focuses on the underlying theory and covers essentialinformation about differential geometry and mathematical methodswhich are necessary to build the computational algorithmindependently from other courses in mechanics. The geometricallyexact theory for the computational contact mechanics is describedin step-by-step manner, using examples of strict derivation from amathematical point of view. The final goal of the theory is toconstruct in the independent approximation form /so-calledcovariant form, including application to high-order andisogeometric finite elements. The second part of a book is a practical guide for programming ofcontact elements and is written in such a way that makes it easyfor a programmer to implement using any programming language. Allprogramming examples are accompanied by a set of verificationexamples allowing the user to learn the research verificationtechnique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis ofcontact problems Presents the geometrically exact theory for computationalcontact mechanics Describes algorithms used in well-known finite element softwarepackages Describes modeling of forces as an inverse contactalgorithm Includes practical exercises Contains unique verification examples such as the generalizedEuler formula for a rope on a surface, and the impact problem andverification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A GeometricalApproach is an ideal textbook for graduates and seniorundergraduates, and is also a useful reference for researchers andpractitioners working in computational mechanics.

Computational Contact Mechanics

Computational Contact Mechanics
Author: Peter Wriggers
Publisher: Springer Science & Business Media
Total Pages: 252
Release: 2008-04-01
Genre: Science
ISBN: 3211772987

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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.

Recent Developments and Innovative Applications in Computational Mechanics

Recent Developments and Innovative Applications in Computational Mechanics
Author: Dana Mueller-Hoeppe
Publisher: Springer
Total Pages: 340
Release: 2011-03-23
Genre: Technology & Engineering
ISBN: 9783642174858

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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.

Developments and Novel Approaches in Nonlinear Solid Body Mechanics

Developments and Novel Approaches in Nonlinear Solid Body Mechanics
Author: Bilen Emek Abali
Publisher: Springer Nature
Total Pages: 491
Release: 2020-07-18
Genre: Science
ISBN: 3030504603

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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.

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
Author: Erwin Stein
Publisher: Springer Science & Business Media
Total Pages: 487
Release: 2013-12-04
Genre: Science
ISBN: 3642399053

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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.

Recent Advances in Contact Mechanics

Recent Advances in Contact Mechanics
Author: Georgios E. Stavroulakis
Publisher: Springer Science & Business Media
Total Pages: 419
Release: 2012-10-19
Genre: Technology & Engineering
ISBN: 3642339670

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Contact mechanics is an active research area with deep theoretical and numerical roots. The links between nonsmooth analysis and optimization with mechanics have been investigated intensively during the last decades, especially in Europe. The study of complementarity problems, variational -, quasivariational- and hemivariational inequalities arising in contact mechanics and beyond is a hot topic for interdisciplinary research and cooperation. The needs of industry for robust solution algorithms suitable for large scale applications and the regular updates of the respective elements in major commercial computational mechanics codes, demonstrate that this interaction is not restricted to the academic environment. The contributions of this book have been selected from the participants of the CMIS 2009 international conference which took place in Crete and continued a successful series of specialized contact mechanics conferences.