Advanced Mechanics Of Continua
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Advanced Mechanics Of Continua
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2016-04-27
Advanced Mechanics Of Continua written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-27 with Science categories.
Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics FormulationsMathematically 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 mecha
Classical Continuum Mechanics
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2022-01-24
Classical Continuum Mechanics written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with Science categories.
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.
Principles Of Continuum Mechanics
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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-16
Principles Of Continuum Mechanics written by J. N. Reddy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Science categories.
This senior undergraduate and first-year graduate text provides a concise treatment of the subject of continuum mechanics and elasticity.
Plates And Shells
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Author : Ansel C. Ugural
language : en
Publisher: CRC Press
Release Date : 2017-10-02
Plates And Shells written by Ansel C. Ugural and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Science categories.
Noted for its practical, accessible approach to senior and graduate-level engineering mechanics, Plates and Shells: Theory and Analysis is a long-time bestselling text on the subjects of elasticity and stress analysis. Many new examples and applications are included to review and support key foundational concepts. Advanced methods are discussed and analyzed, accompanied by illustrations. Problems are carefully arranged from the basic to the more challenging level. Computer/numerical approaches (Finite Difference, Finite Element, MATLAB) are introduced, and MATLAB code for selected illustrative problems and a case study is included.
The Finite Element Method For Initial Value Problems
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2017-10-17
The Finite Element Method For Initial Value Problems written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-17 with Science categories.
Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.
Advances In Mechanics Of Time Dependent Materials
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2023-03-09
Advances In Mechanics Of Time Dependent Materials written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Technology & Engineering categories.
This book presents current trends in Mechanics of Time Dependent Materials. It covers a number of cutting-edge themes, such as characterization of linear and nonlinear mechanical behavior of viscoelastic materials and their composites, taking into consideration large deformations, low, moderate and large strain rates, as well as failure and fracture phenomena. The contributions are inspired by advanced applications in modern technologies, such as injection molding and extrusion.
The Finite Element Method For Boundary Value Problems
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2016-11-17
The Finite Element Method For Boundary Value Problems written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Science categories.
Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.
Numerical Methods And Methods Of Approximation In Science And Engineering
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2018-10-31
Numerical Methods And Methods Of Approximation In Science And Engineering written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-31 with Mathematics categories.
Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. Features: Provides a strong theoretical foundation for learning and applying numerical methods Takes a generic approach to engineering analysis, rather than using a specific programming language Built around a consistent, understandable model for conducting engineering analysis Prepares students for advanced coursework, and use of tools such as FEA and CFD Presents numerous detailed examples and problems, and a Solutions Manual for instructors
Dynamics Strength Of Materials And Durability In Multiscale Mechanics
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Author : Francesco dell'Isola
language : en
Publisher: Springer Nature
Release Date : 2020-11-01
Dynamics Strength Of Materials And Durability In Multiscale Mechanics written by Francesco dell'Isola and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Science categories.
This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials
Failure Analysis Of Composite Materials With Manufacturing Defects
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Author : Ramesh Talreja
language : en
Publisher: CRC Press
Release Date : 2024-02-16
Failure Analysis Of Composite Materials With Manufacturing Defects written by Ramesh Talreja and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-16 with Technology & Engineering categories.
In contrast to metals, a composite material acquires an internal structure where the imprint of its manufacturing process history is a significant part of the internal structure’s makeup and in many cases determines how the material responds to external impulses. The performance for which a composite material is designed must therefore be assessed with due consideration to the manufacturing-induced features in the material volume. Failure theories based on homogenized composites cannot deliver reliable methodologies for performance assessment. This book details approaches that depart from traditional treatments by accounting for manufacturing defects in composite materials. It discusses how manufacturing defects are produced and how they affect the performance of composite materials. Serves as the only book to bring knowledge on manufacturing and failure modeling together in a coherent manner. Guides readers on mechanisms-based modeling with a focus on defects. Treats statistical simulation of microstructure with defects aimed at physical modeling. Covers manufacturing methods for polymer matrix composites. Describes failure modes in unidirectional composites and laminates in the presence of defects. Discusses fatigue damage in the presence of defects. This book is aimed at researchers in industry and academia in aerospace engineering, mechanical engineering, and materials science and engineering. It also serves as a reference for students taking advanced courses in composite materials.