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Advanced Mechanics of Continua

Advanced Mechanics of Continua Author Karan S. Surana
ISBN-10 9781498708111
Release 2016-04-27
Pages 786
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Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum mechanics. This book explores the foundation of continuum mechanics and constitutive theories of materials using understandable notations. It does not stick to one specific form, but instead provides a mix of notations that while in many instances are different than those used in current practice, are a natural choice for the information that they represent. The book places special emphasis on both matrix and vector notations, and presents material using these notations whenever possible. The author explores the development of mathematical descriptions and constitutive theories for deforming solids, fluids, and polymeric fluids—both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contravariant bases. He also establishes the tensorial nature of strain measures and influence of rotation of frames on various measures, illustrates the physical meaning of the components of strains, presents the polar decomposition of deformation, and provides the definitions and measures of stress. Comprised of 16 chapters, this text covers: Einstein’s notation Index notations Matrix and vector notations Basic definitions and concepts Mathematical preliminaries Tensor calculus and transformations using co- and contra-variant bases Differential calculus of tensors Development of mathematical descriptions and constitutive theories Advanced Mechanics of Continua prepares graduate students for fundamental and basic research work in engineering and sciences, provides detailed and consistent derivations with clarity, and can be used for self-study.



An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics Author J. N. Reddy
ISBN-10 9781107025431
Release 2013-07-29
Pages 470
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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.



IUTAM IACM IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

IUTAM IACM IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method Author Tadeusz Burczynski
ISBN-10 9789401597937
Release 2013-03-14
Pages 428
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During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.



Wave Propagation in Viscoelastic and Poroelastic Continua

Wave Propagation in Viscoelastic and Poroelastic Continua Author Martin Schanz
ISBN-10 9783540445753
Release 2012-11-27
Pages 170
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Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.



The Cumulative Book Index

The Cumulative Book Index Author
ISBN-10 UOM:39015058373740
Release 1996
Pages
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The Cumulative Book Index has been writing in one form or another for most of life. You can find so many inspiration from The Cumulative Book Index also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Cumulative Book Index book for free.



The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua Author Morton E. Gurtin
ISBN-10 9781139482158
Release 2010-04-19
Pages
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The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.



An Introduction to Nonlinear Finite Element Analysis

An Introduction to Nonlinear Finite Element Analysis Author J. N. Reddy
ISBN-10 9780191034855
Release 2014-10-23
Pages 768
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The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the programming segments are in Fortran, the logic used in these Fortran programs is transparent and can be used in Matlab or C++ versions of the same. Thus the new edition more than replaces the first edition, and it is hoped that it is acquired by the library of every institution of higher learning as well as serious finite element analysts. The book may be used as a textbook for an advanced course (after a first course) on the finite element method or the first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.



Mechanics and Electrodynamics of Magneto and Electro elastic Materials

Mechanics and Electrodynamics of Magneto  and Electro elastic Materials Author Raymond Ogden
ISBN-10 3709107016
Release 2011-05-25
Pages 268
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This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.



Non Classical Continuum Mechanics

Non Classical Continuum Mechanics Author Gérard A. Maugin
ISBN-10 9789811024344
Release 2016-09-24
Pages 259
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This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, every entry is followed by a cross-reference to other related subject entries in the dictionary.



Meshless Methods in Solid Mechanics

Meshless Methods in Solid Mechanics Author Youping Chen
ISBN-10 9780387333687
Release 2006-12-31
Pages 200
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This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.



Applied Mechanics Reviews

Applied Mechanics Reviews Author
ISBN-10 UIUC:30112043751830
Release 2001
Pages
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Applied Mechanics Reviews has been writing in one form or another for most of life. You can find so many inspiration from Applied Mechanics Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Applied Mechanics Reviews book for free.



Advanced Technology for Design and Fabrication of Composite Materials and Structures

Advanced Technology for Design and Fabrication of Composite Materials and Structures Author George C. Sih
ISBN-10 0792333039
Release 1995-03-31
Pages 438
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Advanced Technology for Design and Fabrication of Composite Materials and Structures has been writing in one form or another for most of life. You can find so many inspiration from Advanced Technology for Design and Fabrication of Composite Materials and Structures also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Advanced Technology for Design and Fabrication of Composite Materials and Structures book for free.



Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures Author Ted Belytschko
ISBN-10 9781118700082
Release 2013-11-25
Pages 832
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This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.



Smooth Particle Applied Mechanics

Smooth Particle Applied Mechanics Author William Graham Hoover
ISBN-10 UCSD:31822035332352
Release 2006-01-01
Pages 300
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This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects. The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.



Directory of Published Proceedings

Directory of Published Proceedings Author
ISBN-10 UOM:39015074109227
Release 1996
Pages
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Directory of Published Proceedings has been writing in one form or another for most of life. You can find so many inspiration from Directory of Published Proceedings also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Directory of Published Proceedings book for free.



Applied Parallel Computing Advanced Scientific Computing

Applied Parallel Computing  Advanced Scientific Computing Author Juha Fagerholm
ISBN-10 9783540437864
Release 2002-06-03
Pages 612
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This book constitutes the refereed proceedings of the 6th International Conference on Applied Parallel Computing, PARA 2002, held in Espoo, Finland, in June 2002. The 50 revised full papers presented together with nine keynote lectures were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections on data mining and knowledge discovery, parallel program development, practical experience in parallel computing, computer science, numerical algorithms with hierarchical memory optimization, numerical methods and algorithms, cluster computing, grid and network technologies, and physics and applications.



Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity Author Weimin Han
ISBN-10 9780821831922
Release 2002
Pages 442
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Phenomena of contact between deformable bodies or between deformable and rigid bodies abound in industry and in everyday life. A few simple examples are brake pads with wheels, tires on roads, and pistons with skirts. Common industrial processes such as metal forming and metal extrusion involve contact evolutions. Because of the importance of contact processes in structural and mechanical systems, considerable effort has been put into modeling and numerical simulations. This book introduces readers to a mathematical theory of contact problems involving deformable bodies. It covers mechanical modeling, mathematical formulations, variational analysis, and the numerical solution of the associated formulations. The authors give a complete treatment of some contact problems by presenting arguments and results in modeling, analysis, and numerical simulations. Variational analysis of the models includes existence and uniqueness results of weak solutions, as well as results of continuous dependence of the solution on the data and parameters. Also discussed are links between different mechanical models. In carrying out the variational analysis, the authors systematically use results on elliptic and evolutionary variational inequalities, convex analysis, nonlinear equations with monotone operators, and fixed points of operators. Prerequisites include basic functional analysis, variational formulations of partial differential equation problems, and numerical approximations. The text is suitable for graduate students and researchers in applied mathematics, computational mathematics, and computational mechanics.