ELASTICITY THEORY APPLICATIONS AND NUMERICS

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Elasticity

Author : Martin H. Sadd
ISBN : 008047747X
Genre : Science
File Size : 83.46 MB
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Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Category: Science

Elasticity

Author : Martin H. Sadd
ISBN : 0124081363
Genre : Technology & Engineering
File Size : 90.60 MB
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Elasticity is concerned with determining the strength and load carrying ability of engineering structures including buildings, bridges, cars, planes, and thousands of machine parts that most of us never see. It is especially important in the fields of mechanical, civil, aeronautical and materials engineering. Elasticity: Theory, Applications and Numerics 2e provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composite materials, micromechanics and computational methods. Developed as a text for a one or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, materal behavior. End of chapter exercises throughout the book are fully incorporated with the use of MATLAB software. Key Features: * Provides a thorough yet concise introduction to general elastic theory and behavior * Demonstrates numerous applications in areas of contemporary interest including fracture mechanics, anisotropic/composite and graded materials, micromechanics, and computational methods * The only current elasticity text to incorporate MATLAB into its extensive end-of-chapter exercises * The book's organization makes it well-suited for a one or two semester course in elastictiy Features New to the Second Edition: * First elasticity text to offer a chapter on non-homogenous, or graded, material behavior * New appendix on review of undergraduate mechanics of materials theory to make the text more self-contained * 355 end of chapter exercises - 30% NEW to this edition.
Category: Technology & Engineering

Fracture Mechanics

Author : Nestor Perez
ISBN : 9783319249995
Genre : Science
File Size : 47.2 MB
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The second edition of this textbook includes a refined presentation of concepts in each chapter, additional examples; new problems and sections, such as conformal mapping and mechanical behavior of wood; while retaining all the features of the original book. The material included in this book is based upon the development of analytical and numerical procedures pertinent to particular fields of linear elastic fracture mechanics (LEFM) and plastic fracture mechanics (PFM), including mixed-mode-loading interaction. The mathematical approach undertaken herein is coupled with a brief review of several fracture theories available in cited references, along with many color images and figures. Dynamic fracture mechanics is included through the field of fatigue and Charpy impact testing.
Category: Science

Transcendental Representations With Applications To Solids And Fluids

Author : Luis Manuel Braga da Costa Campos
ISBN : 9781439835241
Genre : Mathematics
File Size : 44.9 MB
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Building on the author’s previous book in the series, Complex Analysis with Applications to Flows and Fields (CRC Press, 2010), Transcendental Representations with Applications to Solids and Fluids focuses on four infinite representations: series expansions, series of fractions for meromorphic functions, infinite products for functions with infinitely many zeros, and continued fractions as alternative representations. This book also continues the application of complex functions to more classes of fields, including incompressible rotational flows, compressible irrotational flows, unsteady flows, rotating flows, surface tension and capillarity, deflection of membranes under load, torsion of rods by torques, plane elasticity, and plane viscous flows. The two books together offer a complete treatment of complex analysis, showing how the elementary transcendental functions and other complex functions are applied to fluid and solid media and force fields mainly in two dimensions. The mathematical developments appear in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. The last chapter presents a set of detailed examples. Each chapter begins with an introduction and concludes with related topics. Written by one of the foremost authorities in aeronautical/aerospace engineering, this self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.
Category: Mathematics

Concrete International

Author :
ISBN : STANFORD:36105115206729
Genre : Concrete construction
File Size : 23.99 MB
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Category: Concrete construction

Inelasticity Of Materials

Author : Arun Ramaswamy Srinivasa
ISBN : UCSD:31822037169042
Genre : Technology & Engineering
File Size : 75.52 MB
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With the advent of a host of new materials ranging from shape memory alloys to biomaterials to multiphase alloys, acquiring the capacity to model inelastic behavior and to choose the right model in a commercial analysis software has become a pressing need for practicing engineers. Even with the traditional materials, there is a continued emphasis on optimizing and extending their full range of capability in the applications. This textbook builds upon the existing knowledge of elasticity and thermodynamics, and allows the reader to gain confidence in extending one's skills in understanding and analyzing problems in inelasticity. By reading this textbook and working through the assigned exercises, the reader will gain a level of comfort and competence in developing and using inelasticity models. Thus, the book serves as a valuable book for practicing engineers and senior-level undergraduate/graduate-level students in the mechanical, civil, aeronautical, metallurgical and other disciplines. The book is written in three parts. Part 1 is primarily focused on lumped parameter models and simple structural elements such as trusses and beams. This is suitable for an advanced undergraduate class with just a strength of materials background. Part II is focused on small deformation multi-dimensional inelasticity and is suitable for a beginning graduate class. Sufficient material is included on how to numerically implement an inelastic model and solve either using a simple stress function type of approach or using commercial software. Case studies are included as examples. There is also an extensive discussion of thermodynamics in the context of small deformations. Part III focuses on more advanced situations such as finite deformation inelasticity, thermodynamical ideas and crystal plasticity. More advanced case studies are included in this part. bull; This textbook takes a new, task- or scenario-based approach to teaching and learning inelasticity. The book is written in an active learning style that appeals to engineers and students who wish to design or analyze structures and components that are subject to inelasticity. bull; The book incorporates thermodynamical considerations into the modeling right from an early stage. Extensive discussions are provided throughout the book on the thermodynamical underpinnings of the models. bull; This textbook is the first to make extensive use of MATLAB to implement many inelasticity models. It includes the use of concepts such as Airy stress functions to solve plane problems for inelastic materials. The MATLAB codes are listed in the appendix for one to modify with their own models and requirements. bull; Step-by-step procedures for formulations and calculations are provided for the reader to readily adapt to the inelastic problems that he or she attempts to solve. bull; A large number of problems, exercises and projects for one to teach or learn from are included. These can be assigned as homework, in-class exercises or projects. bull; The book is written in a modular fashion, which provides adequate flexibility for adaptation in classes that cater to different audiences such as senior-level students, graduate students, research scholars, and practicing engineers.
Category: Technology & Engineering

Hyperbolic Problems Theory Numerics Applications

Author : Thomas Y. Hou
ISBN : 3540443339
Genre : Mathematics
File Size : 83.74 MB
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The International Conference on "Hyperbolic Problems: Theory, Nu merics and Applications" was held in CalTech on March 25-30, 2002. The Hyp2002 conference was the ninth meeting in the bi-annual international se ries which became one of the highest quality and most successful conference series in Applied Mathematics. This series originated in 1986 at Saint-Etienne, with an earlier focus on the theoretical aspects of hyperbolic conservation laws. As computers became more powerful in the late eighties, and as the interplay between new models, theory and modern numerical algorithms has gained considerable impact dur ing the nineties, the scope of the Hyperbolic conference series was expanded to its present format. This trend is demonstrated, for example, by many effective numerical methods developed originally in the context of Computational Fluid Dynam ics, which in recent years have found new applications outside their traditional areas. Consequently, in addition to its traditional areas, the Hyp2002 has added new focal points. These included multiscale modeling and simulations, e.g., in deriving and simulating meso- and nano-scale material properties in micro devices, geophysical applications such as wave propagation in ran dom media, and coarsening of multi-phase flows through porous media, and free boundary problems arising from materials science and multi-component fluid dynamics, including thin films, crystal growth, multi-fluid interfaces, solid/liquid interfaces."
Category: Mathematics

Wu Li Xue Bao

Author :
ISBN : UCLA:L0099077604
Genre : Science
File Size : 33.50 MB
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Category: Science

Hyperbolic Problems Theory Numerics Applications

Author : Heinrich Freistühler
ISBN : 3764367105
Genre : Mathematics
File Size : 43.68 MB
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Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.
Category: Mathematics