Anisotropic Elasticity With Matlab

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Anisotropic Elasticity with Matlab

Author : Chyanbin Hwu
Publisher : Springer Nature
ISBN 13 : 303066676X
Total Pages : 913 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Anisotropic Elasticity with Matlab by : Chyanbin Hwu

Download or read book Anisotropic Elasticity with Matlab written by Chyanbin Hwu and published by Springer Nature. This book was released on 2021-04-27 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the theory of anisotropic elasticity with the computer program for analytical solutions as well as boundary element methods. It covers the elastic analysis of two-dimensional, plate bending, coupled stretching-bending, and three-dimensional deformations, and is extended to the piezoelectric, piezomagnetic, magnetic-electro-elastic, viscoelastic materials, and the ones under thermal environment. The analytical solutions include the solutions for infinite space, half-space, bi-materials, wedges, interface corners, holes, cracks, inclusions, and contact problems. The boundary element solutions include BEMs for two-dimensional anisotropic elastic, piezoelectric, magnetic-electro-elastic, viscoelastic analyses, and their associated dynamic analyses, as well as coupled stretching-bending analysis, contact analysis, and three-dimensional analysis. This book also provides source codes and examples for all the presenting analytical solutions and boundary element methods. The program is named as AEPH (Anisotropic Elastic Plates – Hwu), which contains 204 MATLAB functions.

Mathematical Analysis in Interdisciplinary Research

Author : Ioannis N. Parasidis
Publisher : Springer Nature
ISBN 13 : 3030847217
Total Pages : 1050 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Analysis in Interdisciplinary Research by : Ioannis N. Parasidis

Download or read book Mathematical Analysis in Interdisciplinary Research written by Ioannis N. Parasidis and published by Springer Nature. This book was released on 2022-03-10 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.

Anisotropic Elasticity

Author : Thomas C. T. Ting
Publisher : Oxford University Press
ISBN 13 : 0198023847
Total Pages : 592 pages
Book Rating : 4.1/5 (98 download)

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

Download or read book Anisotropic Elasticity written by Thomas C. T. Ting and published by Oxford University Press. This book was released on 1996-02-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

Modern Theory of Anisotropic Elasticity and Applications

Author : Julian J. Wu
Publisher : SIAM
ISBN 13 : 9780898712896
Total Pages : 394 pages
Book Rating : 4.7/5 (128 download)

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Book Synopsis Modern Theory of Anisotropic Elasticity and Applications by : Julian J. Wu

Download or read book Modern Theory of Anisotropic Elasticity and Applications written by Julian J. Wu and published by SIAM. This book was released on 1991-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of 26 original papers, some of them substantially revised after the workshop, discuss anisotropic elasticity and its applications in solid mechanics and applied mathematics. Considering elastostatics, elastodynamics, and constitutive relations, they discuss such topics as Green's functio

Elasticity

Author : Martin H. Sadd
Publisher : Elsevier
ISBN 13 : 9780080477473
Total Pages : 480 pages
Book Rating : 4.4/5 (774 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 Elsevier. This book was released on 2010-08-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Theory of Anisotropic Elastic Plates

Author : T.S. Vashakmadze
Publisher : Springer Science & Business Media
ISBN 13 : 9401734798
Total Pages : 256 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Theory of Anisotropic Elastic Plates by : T.S. Vashakmadze

Download or read book The Theory of Anisotropic Elastic Plates written by T.S. Vashakmadze and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied.

Mechanics of Laminated Composite Structures

Author : Chyanbin Hwu
Publisher : CRC Press
ISBN 13 : 1040030483
Total Pages : 415 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Mechanics of Laminated Composite Structures by : Chyanbin Hwu

Download or read book Mechanics of Laminated Composite Structures written by Chyanbin Hwu and published by CRC Press. This book was released on 2024-06-04 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook for students of laminated composite materials, composite structures, and anisotropic elasticity, Chyanbin Hwu draws on more than three decades of research and applications experience to provide a leading resource on many unique topics related to laminated composite structures. This book introduces the mechanical behavior of laminated composite materials and provides related theories and solutions. All basic structural elements such as beams, plates, and shells are described in detail. Further contents include composite sandwich construction and composite wing structures. To connect with practical engineering applications and analyze more complicated real structures, numerical methods and their theoretical basis in anisotropic elasticity are also included. Advanced topics addressed include solutions for magneto-electro-elastic laminated plates; Green’s functions for thick laminated plates and beams; typical thick laminated beams; theory for general laminated composite shells; sandwich beams, plates, and cylindrical shells as well as delaminated composite sandwich beams; modeling and analysis of composite wing structures; complex variable theories of anisotropic elasticity and the related Green’s functions; and numerical methods such as finite element method, boundary element method and meshless method. Through this book, readers will learn not only the mechanics of laminated composite structures but also anisotropic elasticity and some popular numerical methods. This textbook is vital for advanced undergraduate and graduate students interested in the mechanics of composite materials, composite structures, and anisotropic elasticity, such as aerospace, mechanical, civil, and naval engineering; applied mechanics; and engineering science. It is also useful for engineers working in these fields and applied mathematicians and material scientists.

Elasticity

Author : Martin H. Sadd
Publisher : Academic Press
ISBN 13 : 012815988X
Total Pages : 626 pages
Book Rating : 4.1/5 (281 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 2020-03-26 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Provides a thorough yet concise introduction to linear elasticity theory and applications Offers detailed solutions to problems of nonhomogeneous/graded materials Features a comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations Includes online solutions manual and downloadable MATLAB code

Acoustic Analyses Using Matlab and Ansys

Author : Carl Howard
Publisher : CRC Press
ISBN 13 : 1482223279
Total Pages : 705 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Acoustic Analyses Using Matlab and Ansys by : Carl Howard

Download or read book Acoustic Analyses Using Matlab and Ansys written by Carl Howard and published by CRC Press. This book was released on 2014-12-18 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book of its kind that describes the use of ANSYS finite element analysis (FEA) software, and MATLAB engineering programming software to solve acoustic problems. It covers simple text book problems, such as determining the natural frequencies of a duct, to progressively more complex problems that can only be solved using FEA softwa

Anisotropic Elasticity

Author : Thomas Chi-tsai Ting
Publisher :
ISBN 13 : 9780197560280
Total Pages : 580 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis Anisotropic Elasticity by : Thomas Chi-tsai Ting

Download or read book Anisotropic Elasticity written by Thomas Chi-tsai Ting and published by . This book was released on 2020 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Anisotropic Elasticity' offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

Analytical Methods in Anisotropic Elasticity

Author : Omri Rand
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

Anisotropic Elastic Plates

Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959149
Total Pages : 678 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Anisotropic Elastic Plates by : Chyanbin Hwu

Download or read book Anisotropic Elastic Plates written by Chyanbin Hwu and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.

Analytical Methods in Anisotropic Elasticity

Author : V., ORovenski Rand
Publisher :
ISBN 13 : 9783764342722
Total Pages : pages
Book Rating : 4.3/5 (427 download)

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Book Synopsis Analytical Methods in Anisotropic Elasticity by : V., ORovenski Rand

Download or read book Analytical Methods in Anisotropic Elasticity written by V., ORovenski Rand and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Theory of Elastic Structures

Author : Kang Feng
Publisher : Springer Science & Business Media
ISBN 13 : 3662032864
Total Pages : 407 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng

Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.

An Introduction to Modern Anisotropic Elasticity

Author : Klimentiĭ Fedosʹevich Chernykh
Publisher : Begell House Publishers
ISBN 13 : 9781567001075
Total Pages : 248 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis An Introduction to Modern Anisotropic Elasticity by : Klimentiĭ Fedosʹevich Chernykh

Download or read book An Introduction to Modern Anisotropic Elasticity written by Klimentiĭ Fedosʹevich Chernykh and published by Begell House Publishers. This book was released on 1998-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, a leading Russian authority in the field of elasticity, has obtained some fundamental results in the investigation of a number of general problems in the mechanics of solids, the theory of shells, biomechanics, and the mechanics of elastomers. Fundamental theoretical investigations were combined with practical applications to real construction problems. This book deals with symmetry, linear anisotropic elasticity, constitutive equations, plane problems, anisotropic and reinforced shells, brittle fracture, Volterra's dislocations, etc. This important book is intended for students, engineers, and scientists specializing in various fields of structural analysis.

Elasticity

Author : Martin H. Sadd
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

Elasticity and Plasticity

Author : J. N. Goodier
Publisher : Courier Dover Publications
ISBN 13 : 048681047X
Total Pages : 160 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Elasticity and Plasticity by : J. N. Goodier

Download or read book Elasticity and Plasticity written by J. N. Goodier and published by Courier Dover Publications. This book was released on 2016-03-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well as professional engineers will find these works excellent texts and references. The Mathematical Theory of Elasticity covers plane stress and plane strain in the isotropic medium, holes and fillets of assignable shapes, approximate conformal mapping, reinforcement of holes, mixed boundary value problems, the third fundamental problem in two dimensions, eigensolutions for plane and axisymmetric states, anisotropic elasticity, thermal stress, elastic waves induced by thermal shock, three-dimensional contact problems, wave propagation, traveling loads and sources of disturbance, diffraction, and pulse propagation. The Mathematical Theory of Plasticity explores the theory of perfectly plastic solids, the theory of strain-hardening plastic solids, piecewise linear plasticity, minimum principles of plasticity, bending of a circular plate, and other problems.