Computational Contact and Impact Mechanics

Computational Contact and Impact Mechanics

Author: Tod A. Laursen

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 466

ISBN-13: 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

Published: 2015-04-24

Total Pages: 304

ISBN-13: 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

Published: 2006-10-06

Total Pages: 521

ISBN-13: 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.


Trends in Computational Contact Mechanics

Trends in Computational Contact Mechanics

Author: Giorgio Zavarise

Publisher: Springer Science & Business Media

Published: 2011-06-19

Total Pages: 357

ISBN-13: 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

Published: 2008-04-01

Total Pages: 252

ISBN-13: 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.


Applied Impact Mechanics

Applied Impact Mechanics

Author: C. Lakshmana Rao

Publisher: John Wiley & Sons

Published: 2016-06-13

Total Pages: 573

ISBN-13: 1119241839

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This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.


Contact Mechanics II

Contact Mechanics II

Author: M. H. Aliabadi

Publisher:

Published: 1995

Total Pages: 520

ISBN-13:

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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.


Contact Mechanics

Contact Mechanics

Author: M. H. Aliabadi

Publisher: Computational Mechanics

Published: 1993

Total Pages: 544

ISBN-13:

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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, mathematical programming; engineering applications like fracture mechanics, composite materials, forming process; mathematical models such as variational inequalities and the Lagrangian multiplier.