Download or read book Computational Contact and Impact Mechanics written by Tod A. Laursen and published by Springer Science & Business Media. This book was released on 2003-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Contact and Impact Mechanics written by Tod A. Laursen and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Computational Contact Mechanics written by Alexander Konyukhov and published by John Wiley & Sons. This book was released on 2015-04-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Applied Impact Mechanics written by C. Lakshmana Rao and published by John Wiley & Sons. This book was released on 2016-06-13 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis and Simulation of Contact Problems written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2006-08-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modern Impact and Penetration Mechanics written by James D. Walker and published by Cambridge University Press. This book was released on 2021-04-22 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indispensable treatise on the mechanics of extreme dynamic events, including impact, shocks, penetration and high-rate material response.
Download or read book Continuum and Computational Mechanics for Geomechanical Engineers written by Ömer Aydan and published by CRC Press. This book was released on 2021-04-20 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of rock mechanics and rock engineering utilizes the basic laws of continuum mechanics and the techniques developed in computational mechanics. This book describes the basic concepts behind these fundamental laws and their utilization in practice irrespective of whether rock/rock mass contains discontinuities. This book consists of nine chapters and six appendices. The first four chapters are concerned with continuum mechanics aspects, which include the basic operations, definition of stress and strain tensors, and derivation of four fundamental conservation laws in the simplest yet precise manner. The next two chapters are the preparation for computational mechanics, which require constitutive laws of geomaterials relevant to each conservation law and the procedures for how to determine required parameters of the constitutive laws. Computational mechanics solves the resulting ordinary and partial differential equations. In Chapter 7, the methods of exact (closed-form) solutions are explained and they are applied to ordinary/partial differential equations with solvable boundary and initial conditions. In Chapter 8, the fundamentals of approximate solution methods are explained for one dimension first and then how to extend them to multi-dimensional problems. The readers are expected to learn and clearly understand how they are derived and applied to various problems in geomechanics. The final chapter involves the applications of the approximate methods to the actual problems in practice for geomechanical engineers, which cover the continuum to discontinuum, including the stress state of the earth as well as the ground motions induced by earthquakes. Six appendices are provided to have a clear understanding of continuum mechanics operations and procedures for how to deal with discontinuities/interfaces often encountered in rock mechanics and rock engineering.
Download or read book Computational Analysis of Randomness in Structural Mechanics written by Christian Bucher and published by CRC Press. This book was released on 2009-03-30 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proper treatment of structural behavior under severe loading - such as the performance of a high-rise building during an earthquake - relies heavily on the use of probability-based analysis and decision-making tools. Proper application of these tools is significantly enhanced by a thorough understanding of the underlying theoretical and computation
Download or read book Computational Contact Mechanics written by Alexander Konyukhov and published by Springer Science & Business Media. This book was released on 2012-08-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Methods in Solid Mechanics written by A. Curnier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Chapter 1 addresses the problem of a one-dimensional bar, with emphasis being given to the virtual work principle. Chapters 2--4 present the three numerical methods. Although the discussion relates to a one-dimensional model, the formalism used is extendable to two-dimensional situations. Chapter 5 is devoted to a detailed discussion of the compact combination of the three methods, and contains several sections concerning their computer implementation. Finally, Chapter 6 gives a generalization to two and three dimensions of both the mechanical and numerical aspects. For graduate students and researchers whose work involves the theory and application of computational solid mechanics.
Download or read book Introduction to Computational Contact Mechanics written by Alexander Konyukhov and published by John Wiley & Sons. This book was released on 2015-04-24 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Trends in Computational Contact Mechanics written by Giorgio Zavarise and published by Springer Science & Business Media. This book was released on 2011-06-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mechanics of Structures written by Walter Wunderlich and published by CRC Press. This book was released on 2019-12 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations. New in the second edition: A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinement Expansion of the use of Galerkin's method. Discussion of recent developments in the theory of bending and torsion of thin-walled beams. An appendix summarizing the fundamental equations in differential and variational form Completely new treatment of stability, including detailed examples Discussion of the principal values of geometric properties and stresses Additional exercises As a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.
Download or read book Multiscale Methods in Computational Mechanics written by René de Borst and published by Springer Science & Business Media. This book was released on 2010-10-09 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.
Download or read book IUTAM Symposium on Computational Methods in Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2007-11-20 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the IUTAM Symposium held in Hanover, Germany, in November 2006. Coverage includes new mathematical techniques, new discretization techniques, advanced applications of unilateral contact to masonry structures, decohesion analysis and tractive rolling of tires. The book provides a good overview of modern techniques and state-of-the-art discretizations schemes applied in contact mechanics.
Download or read book Vibro Impact Dynamics written by Raouf A. Ibrahim and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of vibro-impact dynamics falls into three main categories: modeling, mapping and applications. This text covers the latest in those studies plus selected deterministic and stochastic applications. It includes a bibliography exceeding 1,100 references.
