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Books in Computational mechanics

General Continuum Mechanics and Constitutive Modeling
1st Edition
November 19, 2024
Niels Saabye Ottosen
English
General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra that is followed by coverage of strains, stresses, and thermodynamics. General principles for constitutive modeling are presented, including objectivity, Lie-derivative, and covariance, as are issues central to configurational mechanics, such as polyconvexity and invariance principles used to establish balance equations. The book includes a chapter on hyperelasticity which analyzes isotropic and anisotropic materials, and also discusses the distinction between energetic and entropic material response.The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
Elasticity
Theory, Applications, and Numerics
4th Edition
March 25, 2020
Martin H. Sadd
English
Elasticity: Theory, Applications, and Numerics, Fourth Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.
Extended Finite Element and Meshfree Methods
1st Edition
November 13, 2019
Timon Rabczuk + 3 more
English
Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-inte... optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications.
Computational Fluid-Structure Interaction
Methods, Models, and Applications
1st Edition
September 25, 2018
Yong Zhao + 1 more
English
Computational Fluid-Structure Interaction: Methods, Models, and Applications provides detailed explanations of a range of FSI models, their mathematical formulations, validations, and applications, with an emphasis on conservative unstructured-grid FVM. The first part of the book presents the nascent numerical methods, algorithms and solvers for both compressible and incompressible flows, computational structural dynamics (CSD), parallel multigrid, IOM, IMM and ALE methods. The second half covers the validations of these numerical methods and solvers, as well as their applications in a broad range of areas in basic research and engineering.
Stress Analysis by Boundary Element Methods
1st Edition
Volume 23
October 22, 2013
J. Balaš + 2 more
English
The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.
Theoretical and Applied Mechanics
Proceedings of the XVIth International Congress of Theoretical and Applied Mechanics Held in Lyngby, Denmark, 19-25 August, 1984
1st Edition
October 15, 2013
Frithiof I. Niordson + 1 more
English
Theoretical and Applied Mechanics covers the proceedings of the 16th International Congress of Theoretical and Applied Mechanics, held at the Technical University of Denmark, Lyngby, Denmark on August 19-25, 1984. The contributors consider the significant advances in the thriving field of mechanics. This book is composed of 21 chapters, and begins with an overview of space research contributions in understanding fluid media mechanics. This topic is followed by discussions on some aspects and fundamentals of mechanics, such as chaos, computer application, resonant phenomena, adiabaticity, and nonlinear acoustics. The following chapters explore the various applications of theoretical and applied mechanics, including in marine structures, oil recovery, and ice and snow mechanics. This book also deals with nonlinear wave motion, hydrodynamic systems, ocean wave spectra, and Helmholtz concept. The remaining chapters look into the issues of steady water bifurcation, concept of anisotropic soils, and flow visualization. This book is of great value to physicists and research workers who wish to expand their knowledge in mechanics.
Granular Filtration of Aerosols and Hydrosols
2nd Edition
June 7, 2007
Chi Tien + 1 more
English
Granular filtration is a technique used extensively in the water and sewage industries, and we would all be quickly aware if it did not work properly. Designing and building an effective granular filter is a science and an art: this book covers both aspects. The theoretical basis of design is given considerable exposure, as are the behavioural characteristics of particles and fluids. This new edition contains extra material on stochastic simulations and the Lattice Bolzmann approach for studying deposition in granular media; more on prediction methods for collection efficiency, and a chapter on the various available software programmes.
Computational Fluid and Solid Mechanics 2005 - CD Rom
1st Edition
August 3, 2005
K.J. Bathe
English
The MIT Conferences in Computational Fluid and Solid Mechanics are now established as the premier meeting place for industry and academia to come together and share ideas. Distinguished and thought provoking keynote lectures, cutting edge research results, and directions for future research are presented in over 600 contributions. The CD-Rom version enables specialized searching across complete contents.Contributin... authors present results which address eight fundamental areas for research and development.The automatic solution of mathematical modelsEffective numerical schemes for fluid flowsThe development of an effective mesh-free numerical solution methodThe development of numerical procedures for multiphysics problemsThe development of numerical procedures for multiscale problemsThe modelling of uncertaintiesThe analysis of complete life cycles of systemsEducation - teaching sound engineering and scientific judgement
Introduction to Hydrocodes
1st Edition
Volume 49
January 20, 2004
Jonas Zukas
English
A hydrocode refers to a computer program used for the study of the dynamic response of materials and structures to impulse (primary blast), impact (involving everything from car and aircraft collisions to impacts of space structures by assorted debris). The understanding of hydrocodes requires knowledge of numerical methods in the code as well as a keen understanding of the physics of the problem being addressed. This can take many years to learn via codes. There are currently a number of titles addressing the physics of high pressure and high rate material but nothing introducing the novice to the fundamentals of this highly technical and complicated study. Introduction to Hydrocodes bridges the gap, bringing together the large body of literature, scattered through diverse journals, government and corporate reports and conference proceedings. As valuable as the text are the cited references and the combination will take years off the preparation time of future code users.
Computational Fluid and Solid Mechanics 2003
1st Edition
June 2, 2003
K.J Bathe
English
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researcher... have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are:The automatic solution of mathematical modelsEffective numerical schemes for fluid flowsThe development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problemsThe development of numerical procedures for multiscale problemsThe modelling of uncertaintiesThe analysis of complete life cycles of systemsEducation - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. FeaturesBridges the gap between academic researchers and practitioners in industryOutlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis