Elasticity of Transversely Isotropic Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 1402040342
Total Pages : 443 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Elasticity of Transversely Isotropic Materials by : Haojiang Ding

Download or read book Elasticity of Transversely Isotropic Materials written by Haojiang Ding and published by Springer Science & Business Media. This book was released on 2006-07-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.

Elastic wave propagation in transversely isotropic media

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Publisher : Springer Science & Business Media
ISBN 13 : 9789024728435
Total Pages : 214 pages
Book Rating : 4.7/5 (284 download)

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Book Synopsis Elastic wave propagation in transversely isotropic media by : R.C. Payton

Download or read book Elastic wave propagation in transversely isotropic media written by R.C. Payton and published by Springer Science & Business Media. This book was released on 1983-10-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

Handbook of Contact Mechanics

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Publisher : Springer
ISBN 13 : 3662587092
Total Pages : 357 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Handbook of Contact Mechanics by : Valentin L. Popov

Download or read book Handbook of Contact Mechanics written by Valentin L. Popov and published by Springer. This book was released on 2019-04-26 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems. Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem.

Applied Mechanics of Solids

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Publisher : CRC Press
ISBN 13 : 1439802483
Total Pages : 820 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Mechanics of Solids by : Allan F. Bower

Download or read book Applied Mechanics of Solids written by Allan F. Bower and published by CRC Press. This book was released on 2009-10-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Elastic wave propagation in transversely isotropic media

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Publisher : Springer Science & Business Media
ISBN 13 : 9400968663
Total Pages : 203 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Elastic wave propagation in transversely isotropic media by : R.C. Payton

Download or read book Elastic wave propagation in transversely isotropic media written by R.C. Payton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

State of the Art and Future Trends in Material Modeling

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Author :
Publisher : Springer Nature
ISBN 13 : 3030303551
Total Pages : 505 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis State of the Art and Future Trends in Material Modeling by : Holm Altenbach

Download or read book State of the Art and Future Trends in Material Modeling written by Holm Altenbach and published by Springer Nature. This book was released on 2019-10-23 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.

Elasticity

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Publisher : Academic Press
ISBN 13 : 9780080922416
Total Pages : 552 pages
Book Rating : 4.9/5 (224 download)

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Book Synopsis Elasticity by : Martin H. Sadd

Download or read book Elasticity written by Martin H. Sadd and published by Academic Press. This book was released on 2009-02-25 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity: Theory, Applications and Numerics Second Edition 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, material behavior. Extensive end-of-chapter exercises throughout the book are fully incorporated with the use of MATLAB software. 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

Static Green's Functions in Anisotropic Media

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Publisher : Cambridge University Press
ISBN 13 : 131623987X
Total Pages : 357 pages
Book Rating : 4.3/5 (162 download)

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Book Synopsis Static Green's Functions in Anisotropic Media by : Ernian Pan

Download or read book Static Green's Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.

Analytical Methods in Anisotropic Elasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644202
Total Pages : 451 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Analytical Methods in Anisotropic Elasticity by : Omri Rand

Download or read book Analytical Methods in Anisotropic Elasticity written by Omri Rand and published by Springer Science & Business Media. This book was released on 2007-12-25 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Comprehensive textbook/reference applies mathematical methods and modern symbolic computational tools to anisotropic elasticity * Presents unified approach to a vast diversity of structural models * State-of-the-art solutions are provided for a wide range of composite material configurations, including: 3-D anisotropic bodies, 2-D anisotropic plates, laminated and thin-walled structures

Static Green's Functions in Anisotropic Media

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107034809
Total Pages : 357 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Static Green's Functions in Anisotropic Media by : Ernian Pan

Download or read book Static Green's Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory on static Green's functions in anisotropic magnetoelectroelastic media and their detailed derivations via different methods.

Anisotropic Elasticity

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Publisher : Oxford University Press on Demand
ISBN 13 : 0195074475
Total Pages : 591 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Anisotropic Elasticity by : T. C. T. Ting

Download or read book Anisotropic Elasticity written by T. C. T. Ting and published by Oxford University Press on Demand. This book was released on 1996 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.

THEORY OF ELASTICITY AND PLASTICITY

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120352831
Total Pages : 264 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis THEORY OF ELASTICITY AND PLASTICITY by : H. JANE HELENA

Download or read book THEORY OF ELASTICITY AND PLASTICITY written by H. JANE HELENA and published by PHI Learning Pvt. Ltd.. This book was released on 2017-07-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Elasticity and Plasticity is designed as a textbook for both undergraduate and postgraduate students of engineering in civil, mechanical and aeronautical disciplines. This book has been written with the objective of bringing the concepts of elasticity and plasticity to the students in a simplified and comprehensive manner. The basic concepts, definitions, theory as well as practical applications are discussed in a clear, logical and concise manner for better understanding. Starting with, general relationships between stress, strain and deformations, the book deals with specific problems on plane stress, plane strain and torsion in non-circular sections. Advanced topics such as membrane analogy, beams on elastic foundations and plastic analysis of pressure vessels are also discussed elaborately. For better comprehension, the text is well supported with:  Large number of worked-out examples in each chapter.  Well-labelled illustrations.  Numerous Review Questions that reinforce the understanding of the subject. As all the concepts are covered extensively with a blend of theory and practice, this book will be a useful resource to the students.

The Rock Physics Handbook

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Publisher : Cambridge University Press
ISBN 13 : 1108420265
Total Pages : 741 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis The Rock Physics Handbook by : Gary Mavko

Download or read book The Rock Physics Handbook written by Gary Mavko and published by Cambridge University Press. This book was released on 2020-01-09 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together widely scattered theoretical and laboratory rock physics relations critical for modelling and interpretation of geophysical data.

An Introduction to Structural Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1402086652
Total Pages : 214 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Structural Optimization by : Peter W. Christensen

Download or read book An Introduction to Structural Optimization written by Peter W. Christensen and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emphasis on geometrical design problems, where the design is represented by continuously varying—frequently very many— variables, so-called ?rst order methods are central to the treatment. These methods are based on sensitivity analysis, i. e. , on establishing ?rst order derivatives for - jectives and constraints. The classical ?rst order methods that we emphasize are CONLIN and MMA, which are based on explicit, convex and separable appro- mations. It should be remarked that the classical and frequently used so-called op- mality criteria method is also of this kind. It may also be noted in this context that zero order methods such as response surface methods, surrogate models, neural n- works, genetic algorithms, etc. , essentially apply to different types of problems than the ones treated here and should be presented elsewhere.

Modern Mathematics and Mechanics

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Publisher : Springer
ISBN 13 : 331996755X
Total Pages : 557 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Modern Mathematics and Mechanics by : Victor A. Sadovnichiy

Download or read book Modern Mathematics and Mechanics written by Victor A. Sadovnichiy and published by Springer. This book was released on 2018-11-29 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.

Composite Materials

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Publisher : CRC Press
ISBN 13 : 1000352188
Total Pages : 461 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Composite Materials by : Sumit Sharma

Download or read book Composite Materials written by Sumit Sharma and published by CRC Press. This book was released on 2021-03-11 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials find diverse applications in areas including aerospace, automotive, architecture, energy, marine and military. This comprehensive textbook discusses three important aspects including manufacturing, mechanics and dynamic mechanical analysis of composites. The textbook comprehensively presents fundamental concepts of composites, manufacturing techniques and advanced topics including as advances in composite materials in various fields, viscoelastic behavior of composites, toughness of composites and Nano mechanics of composites in a single volume. Topics such as polymer matrix composites, metal matrix composites, ceramic matrix composites, micromechanical behavior of a lamina, micromechanics and nanomechanics are discussed in detail. Aimed at senior undergraduate and graduate students for a course on composite materials in the fields of mechanical engineering, automobile engineering and electronics engineering, this book: Discusses mechanics and manufacturing techniques of composite materials in a single volume. Explains viscoelastic behavior of composites in a comprehensive manner. Covers fatigue, creep and effect of thermal stresses on composites. Discusses concepts including bending, buckling and vibration of laminated plates in detail. Explains dynamic mechanical analysis (DMA) of composites.

Some Problems in Transversely Isotropic Elastic Materials and in Spherically Isotropic Elastic Materials

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Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Some Problems in Transversely Isotropic Elastic Materials and in Spherically Isotropic Elastic Materials by : William Tze-you Chen

Download or read book Some Problems in Transversely Isotropic Elastic Materials and in Spherically Isotropic Elastic Materials written by William Tze-you Chen and published by . This book was released on 1965 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: