Mechanics Computational Mechanics

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Numerical Methods in Computational Mechanics

Author : Jamshid Ghaboussi
Publisher : CRC Press
ISBN 13 : 1498746780
Total Pages : 332 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Numerical Methods in Computational Mechanics by : Jamshid Ghaboussi

Download or read book Numerical Methods in Computational Mechanics written by Jamshid Ghaboussi and published by CRC Press. This book was released on 2016-11-25 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.

Computational Contact Mechanics

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Computational Contact Mechanics by : Peter Wriggers

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.

Research Directions in Computational Mechanics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309046483
Total Pages : 145 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Research Directions in Computational Mechanics by : National Research Council

Download or read book Research Directions in Computational Mechanics written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.

Continuum and Computational Mechanics for Geomechanical Engineers

Author : Ömer Aydan
Publisher : CRC Press
ISBN 13 : 1000367827
Total Pages : 345 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Continuum and Computational Mechanics for Geomechanical Engineers by : Ömer Aydan

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.

Computational Mechanics with Neural Networks

Author : Genki Yagawa
Publisher : Springer Nature
ISBN 13 : 3030661113
Total Pages : 233 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Computational Mechanics with Neural Networks by : Genki Yagawa

Download or read book Computational Mechanics with Neural Networks written by Genki Yagawa and published by Springer Nature. This book was released on 2021-02-26 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how neural networks are applied to computational mechanics. Part I presents the fundamentals of neural networks and other machine learning method in computational mechanics. Part II highlights the applications of neural networks to a variety of problems of computational mechanics. The final chapter gives perspectives to the applications of the deep learning to computational mechanics.

Computational Mechanics

Author : C. A. Mota Soares
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computational Mechanics by : C. A. Mota Soares

Download or read book Computational Mechanics written by C. A. Mota Soares and published by . This book was released on 2006-05-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics in solids, structures and coupled problems in engineering is today a mature science with applications to major industrial designs. This book reflects the state of art and it is written by some of the world leading authorities in this field, addressing such topics as: design and topology optimisation, inverse engineering, multibody dynamics, non-linear and railway dynamics, non-linear and textile composites, sandwich structures, uncertainty and reliability of structures, micromechanics of biological materials, computational geometry, multiscale strategies, discrete and mesh free elements, hybrid crack element, adaptive mesh generation, neural networks, structural model validation, vibro-acoustics, active aeroelastic structures, shells with incompressible flows, fluid-structure interaction, aeroelasticity, fluid-saturated and damage porous media and ceramics, high porosity solids, multiphase viscous porous material and masonry. This book contains the edited version of some Plenary and Keynote Lectures presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM-2006), held in the National Laboratory of Civil Engineering, Lisbon, Portugal, 5th - 8th June 2006.

Mechanics of Solids and Structures, Second Edition

Author : Roger T. Fenner
Publisher : CRC Press
ISBN 13 : 1439858144
Total Pages : 707 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mechanics of Solids and Structures, Second Edition by : Roger T. Fenner

Download or read book Mechanics of Solids and Structures, Second Edition written by Roger T. Fenner and published by CRC Press. This book was released on 2012-06-12 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics. Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems. Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.

Deep Learning in Computational Mechanics

Author : Stefan Kollmannsberger
Publisher : Springer Nature
ISBN 13 : 3030765873
Total Pages : 108 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Deep Learning in Computational Mechanics by : Stefan Kollmannsberger

Download or read book Deep Learning in Computational Mechanics written by Stefan Kollmannsberger and published by Springer Nature. This book was released on 2021-08-05 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a first course on deep learning in computational mechanics. The book starts with a short introduction to machine learning’s fundamental concepts before neural networks are explained thoroughly. It then provides an overview of current topics in physics and engineering, setting the stage for the book’s main topics: physics-informed neural networks and the deep energy method. The idea of the book is to provide the basic concepts in a mathematically sound manner and yet to stay as simple as possible. To achieve this goal, mostly one-dimensional examples are investigated, such as approximating functions by neural networks or the simulation of the temperature’s evolution in a one-dimensional bar. Each chapter contains examples and exercises which are either solved analytically or in PyTorch, an open-source machine learning framework for python.

Computational Continuum Mechanics

Author : Ahmed A. Shabana
Publisher : Cambridge University Press
ISBN 13 : 1139505424
Total Pages : 341 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Computational Continuum Mechanics by : Ahmed A. Shabana

Download or read book Computational Continuum Mechanics written by Ahmed A. Shabana and published by Cambridge University Press. This book was released on 2011-12-12 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.

Computational Mechanics of Composite Materials

Author : Marcin Marek Kaminski
Publisher : Springer Science & Business Media
ISBN 13 : 1846280494
Total Pages : 434 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Computational Mechanics of Composite Materials by : Marcin Marek Kaminski

Download or read book Computational Mechanics of Composite Materials written by Marcin Marek Kaminski and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers. Features: Programs for the probabilistic homogenisation of composite structures with finite numbers of components allow composites to be treated as homogeneous materials with simpler behaviours. Treatment of defects in the interfaces within heterogeneous materials and those arising in composite objects as a whole by stochastic modelling. New models for the reliability of composite structures. Novel numerical algorithms for effective Monte-Carlo simulation. Computational Mechanics of Composite Materials will be of interest to academic and practising civil, mechanical, electronic and aerospatial engineers, to materials scientists and to applied mathematicians requiring accurate and usable models of the behaviour of composite materials.

Computational Contact and Impact Mechanics

Author : Tod A. Laursen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540429067
Total Pages : 476 pages
Book Rating : 4.4/5 (29 download)

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Book Synopsis Computational Contact and Impact Mechanics by : Tod A. Laursen

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.

Multiscale Methods in Computational Mechanics

Author : René de Borst
Publisher : Springer Science & Business Media
ISBN 13 : 9048198097
Total Pages : 451 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Multiscale Methods in Computational Mechanics by : René de Borst

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.

Computational Mechanics in Structural Engineering

Author : F.Y. Cheng
Publisher : Elsevier
ISBN 13 : 0080529496
Total Pages : 413 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Mechanics in Structural Engineering by : F.Y. Cheng

Download or read book Computational Mechanics in Structural Engineering written by F.Y. Cheng and published by Elsevier. This book was released on 1999-02-16 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Sino-US Symposium Workshop on Recent Advancement of Computational Mechanics in Structural Engineering was held between May 25-28, 1998, in Dalian, China. The objectives were: to share the insights and experiences gained from recent developments in theory and practice; to assess the current state of knowledge in various topic areas of mechanics and computational methods and to identify joint research opportunities; to stimulate future cooperative research and to develop joint efforts in subjects of common needs and interests; to build and to strengthen the long-term bilateral scientific relationship between academic and professional practicing communities.Topics discussed covered the entire field of computational structural mechanics. These topics have advanced broad applications in the engineering practice of modern structural analysis, design and construction of buildings and other structures, and in natural hazard mitigation.

Computational Structural Mechanics

Author : Snehashish Chakraverty
Publisher : Academic Press
ISBN 13 : 0128156422
Total Pages : 338 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Computational Structural Mechanics by : Snehashish Chakraverty

Download or read book Computational Structural Mechanics written by Snehashish Chakraverty and published by Academic Press. This book was released on 2018-09-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Structural Mechanics: Static and Dynamic Behaviors provides a cutting-edge treatment of functionally graded materials and the computational methods and solutions of FG static and vibration problems of plates. Using the Rayleigh-Ritz method, static and dynamic problems related to behavior of FG rectangular, Levy, elliptic, skew and annular plates are discussed in detail. A thorough review of the latest research results, computational methods and applications of FG technology make this an essential resource for researchers in academia and industry. - Explains application-oriented treatments of the functionally graded materials used in industry - Addresses relevant algorithms and key computational techniques - Provides numerical solutions of static and vibration problems associated with functionally graded beams and plates of different geometries

Boundary Element Analysis in Computational Fracture Mechanics

Author : T.A. Cruse
Publisher : Springer Science & Business Media
ISBN 13 : 9400913850
Total Pages : 171 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Boundary Element Analysis in Computational Fracture Mechanics by : T.A. Cruse

Download or read book Boundary Element Analysis in Computational Fracture Mechanics written by T.A. Cruse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.

Computational Methods in Solid Mechanics

Author : A. Curnier
Publisher : Springer Science & Business Media
ISBN 13 : 940111112X
Total Pages : 412 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Computational Methods in Solid Mechanics by : A. Curnier

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.

Classical Continuum Mechanics

Author : Karan S. Surana
Publisher : CRC Press
ISBN 13 : 1000512347
Total Pages : 829 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Classical Continuum Mechanics by : Karan S. Surana

Download or read book Classical Continuum Mechanics written by Karan S. Surana and published by CRC Press. This book was released on 2022-01-24 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.