Anisotropic Elasticity With Matlab
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Author |
: Chyanbin Hwu |
Publisher |
: Springer Nature |
Total Pages |
: 913 |
Release |
: 2021-04-27 |
ISBN-10 |
: 9783030666767 |
ISBN-13 |
: 303066676X |
Rating |
: 4/5 (67 Downloads) |
Synopsis Anisotropic Elasticity with Matlab by : Chyanbin Hwu
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.
Author |
: Thomas C. T. Ting |
Publisher |
: Oxford University Press |
Total Pages |
: 592 |
Release |
: 1996-02-15 |
ISBN-10 |
: 9780198023845 |
ISBN-13 |
: 0198023847 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Anisotropic Elasticity by : Thomas C. T. Ting
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.
Author |
: Martin H. Sadd |
Publisher |
: Elsevier |
Total Pages |
: 474 |
Release |
: 2010-08-04 |
ISBN-10 |
: 9780080477473 |
ISBN-13 |
: 008047747X |
Rating |
: 4/5 (73 Downloads) |
Synopsis Elasticity by : Martin H. Sadd
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
Author |
: T.S. Vashakmadze |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 256 |
Release |
: 2013-11-27 |
ISBN-10 |
: 9789401734790 |
ISBN-13 |
: 9401734798 |
Rating |
: 4/5 (90 Downloads) |
Synopsis The Theory of Anisotropic Elastic Plates by : T.S. Vashakmadze
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.
Author |
: Omri Rand |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 466 |
Release |
: 2007-12-25 |
ISBN-10 |
: 9780817644208 |
ISBN-13 |
: 0817644202 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Analytical Methods in Anisotropic Elasticity by : Omri Rand
* 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
Author |
: Julian J. Wu |
Publisher |
: SIAM |
Total Pages |
: 394 |
Release |
: 1991-01-01 |
ISBN-10 |
: 0898712890 |
ISBN-13 |
: 9780898712896 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Modern Theory of Anisotropic Elasticity and Applications by : Julian J. Wu
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
Author |
: Thomas Chi-tsai Ting |
Publisher |
: |
Total Pages |
: 580 |
Release |
: 2020 |
ISBN-10 |
: 0197560288 |
ISBN-13 |
: 9780197560280 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Anisotropic Elasticity by : Thomas Chi-tsai Ting
'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.
Author |
: Martin H. Sadd |
Publisher |
: Academic Press |
Total Pages |
: 601 |
Release |
: 2014-01-22 |
ISBN-10 |
: 9780124104327 |
ISBN-13 |
: 0124104320 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Elasticity by : Martin H. Sadd
Elasticity: Theory, Applications, and Numerics, Third 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 spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. - Thorough yet concise introduction to linear elasticity theory and applications - Only text providing detailed solutions to problems of nonhomogeneous/graded materials - New material on stress contours/lines, contact stresses, curvilinear anisotropy applications - Further and new integration of MATLAB software - Addition of many new exercises - Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations - Online solutions manual and downloadable MATLAB code
Author |
: Chyanbin Hwu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 678 |
Release |
: 2010-05-25 |
ISBN-10 |
: 9781441959140 |
ISBN-13 |
: 1441959149 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Anisotropic Elastic Plates by : Chyanbin Hwu
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.
Author |
: Klimentiĭ Fedosʹevich Chernykh |
Publisher |
: Begell House Publishers |
Total Pages |
: 248 |
Release |
: 1998-01-01 |
ISBN-10 |
: 1567001076 |
ISBN-13 |
: 9781567001075 |
Rating |
: 4/5 (76 Downloads) |
Synopsis An Introduction to Modern Anisotropic Elasticity by : Klimentiĭ Fedosʹevich Chernykh
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.