Analytical Methods in Anisotropic Elasticity

Analytical Methods in Anisotropic Elasticity

Author: Omri Rand

Publisher: Springer Science & Business Media

Published: 2007-12-25

Total Pages: 466

ISBN-13: 0817644202

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* 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


Analytical Methods in Anisotropic Elasticity

Analytical Methods in Anisotropic Elasticity

Author: Omri Rand

Publisher: Birkhäuser

Published: 2008-11-01

Total Pages: 0

ISBN-13: 9780817670603

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* 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

Anisotropic Elastic Plates

Author: Chyanbin Hwu

Publisher: Springer Science & Business Media

Published: 2010-05-25

Total Pages: 678

ISBN-13: 1441959149

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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.


Anisotropic Elasticity with Matlab

Anisotropic Elasticity with Matlab

Author: Chyanbin Hwu

Publisher: Springer Nature

Published: 2021-04-27

Total Pages: 913

ISBN-13: 303066676X

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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.


Anisotropic Elasticity

Anisotropic Elasticity

Author: Thomas C. T. Ting

Publisher: Oxford University Press

Published: 1996-02-15

Total Pages: 592

ISBN-13: 0198023847

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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.


Anisotropic Elasticity

Anisotropic Elasticity

Author: Paolo Vannucci

Publisher: Springer

Published: 2017-07-10

Total Pages: 439

ISBN-13: 9811054398

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This book presents a modern and unconventional introduction to anisotropy. The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical bases and results are completely developed along with applications to design problems of laminated anisotropic structures. The book is based on lectures on anisotropy which have been held at Ecole Polytechnique in Paris.


Elasticity

Elasticity

Author: Martin H. Sadd

Publisher: Academic Press

Published: 2020-03-26

Total Pages: 626

ISBN-13: 012815988X

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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


ELASTICITY THEORY FOR ANISOTROPIC MEDIA.

ELASTICITY THEORY FOR ANISOTROPIC MEDIA.

Author: I. Mirsky

Publisher:

Published: 1965

Total Pages: 113

ISBN-13:

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Analytical methods are developed for describing the elastostatic and elastodynamic behavior of anisotropic media. In particular, the problems of axisymmetric vibrations of orthotropic shells and transversely isotropic materials subjected to localized bands of pressure are treated both analytically and numerically. In addition, the problem of completeness of solutions for the elastostatic case of a transversely isotropic medium in cylindrical coordinates is discussed and representations of solutions for materials with a special kind of anisotropy are obtained. (Author).