Quasicrystals

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Publisher : Oxford University Press, USA
ISBN 13 : 0199657408
Total Pages : 428 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Quasicrystals by : Christian Janot

Download or read book Quasicrystals written by Christian Janot and published by Oxford University Press, USA. This book was released on 2012-10-18 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversies were dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicrystals. This primer provides a descriptive approach to the subject for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

Crystallography of Quasicrystals

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Publisher : Springer Science & Business Media
ISBN 13 : 3642018998
Total Pages : 388 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Crystallography of Quasicrystals by : Steurer Walter

Download or read book Crystallography of Quasicrystals written by Steurer Walter and published by Springer Science & Business Media. This book was released on 2009-08-26 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: From tilings to quasicrystal structures and from surfaces to the n-dimensional approach, this book gives a full, self-contained in-depth description of the crystallography of quasicrystals. It aims not only at conveying the concepts and a precise picture of the structures of quasicrystals, but it also enables the interested reader to enter the field of quasicrystal structure analysis. Going beyond metallic quasicrystals, it also describes the new, dynamically growing field of photonic quasicrystals. The readership will be graduate students and researchers in crystallography, solid-state physics, materials science, solid- state chemistry and applied mathematics.

Quasicrystals

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Publisher : World Scientific
ISBN 13 : 9789810241568
Total Pages : 634 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Quasicrystals by : D. P. DiVincenzo

Download or read book Quasicrystals written by D. P. DiVincenzo and published by World Scientific. This book was released on 1999 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student. In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.

Quasicrystals and Discrete Geometry

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871683
Total Pages : 306 pages
Book Rating : 4.8/5 (716 download)

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Book Synopsis Quasicrystals and Discrete Geometry by : Jiri Patera

Download or read book Quasicrystals and Discrete Geometry written by Jiri Patera and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising the proceedings of the fall 1995 semester program arranged by The Fields Institute at the U. of Toronto, Ontario, Canada, this volume contains eleven contributions which address ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This collection of articles aims to bring into the mainstream of mathematics and mathematical physics this developing field of study integrating algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. Annotation copyrighted by Book News, Inc., Portland, OR

Introduction to Quasicrystals

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Author :
Publisher : Elsevier
ISBN 13 : 0323140645
Total Pages : 296 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Introduction to Quasicrystals by : Marko Jaric

Download or read book Introduction to Quasicrystals written by Marko Jaric and published by Elsevier. This book was released on 2012-12-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aperiodicity and Order, Volume 1: Introduction to Quasicrystals deals with various aperiodic types of order in quasicrystals as well as the basic physics of quasicrystalline order and materials. Questions about the nature of order and the order of nature are addressed. This volume is comprised of six chapters; the first of which introduces the reader to icosahedral coordination in metallic crystals, with emphasis on the structural principles of metallic materials that are crystalline and may be expected to carry over to aperiodic materials. The discussion then turns to short- and long-range icosahedral orders in glass, crystals, and quasicrystals. The origins of icosahedral order are explained, and the physical properties of icosahedral materials are described. The chapters that follow focus on the metallurgy of quasicrystals, the crystallography of ideal icosahedral crystals, and stability and deformations in quasicrystalline solids. The book concludes with a discussion on symmetry, elasticity, and hydrodynamics in quasiperiodic structures. A pedagogical review of continuum elastic-hydrodynamic theory for quasicrystals and related structures is presented. This book is intended primarily as an introduction for new students in the field and as a reference for active researchers.

Quasicrystals

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Publisher : OUP Oxford
ISBN 13 : 0191021792
Total Pages : 428 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Quasicrystals by : Christian Janot

Download or read book Quasicrystals written by Christian Janot and published by OUP Oxford. This book was released on 2012-10-18 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversies were dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicrystals. This primer provides a descriptive approach to the subject for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

Quasicrystals

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 3527606785
Total Pages : 668 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quasicrystals by : Hans-Rainer Trebin

Download or read book Quasicrystals written by Hans-Rainer Trebin and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals form a new state of solid matter beside the crystalline and the amorphous. The positions of the atoms are ordered, but with noncrystallographic rotational symmetries and in a nonperiodic way. The new structure induces unusual physical properties, promising interesting applications. This book provides a comprehensive and up-to-date review and presents most recent research results, achieved by a collaboration of physicists, chemists, material scientists and mathematicians within the Priority Programme "Quasicrystals: Structure and Physical Properties" of the Deutsche Forschungsgemeinschaft (DFG). Starting from metallurgy, synthesis and characterization, the authors carry on with structure and mathematical modelling. On this basis electronic, magnetic, thermal, dynamic and mechanical properties are dealt with and finally surfaces and thin films.

Quasicrystals

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Publisher : John Wiley & Sons
ISBN 13 : 9783527403998
Total Pages : 680 pages
Book Rating : 4.4/5 (39 download)

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Book Synopsis Quasicrystals by : Hans-Rainer Trebin

Download or read book Quasicrystals written by Hans-Rainer Trebin and published by John Wiley & Sons. This book was released on 2003-07-07 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and up-to-date review, covering the broad range of this outstanding class of materials among intermetallic alloys. Starting with metallurgy and characterization, the authors continue on to structure and mathematical modeling. They use this basis to move on to dealing with electronic, magnetic, thermal, dynamic and mechanical properties, before finally providing an insight into surfaces and thin films. The authors belong to a research program on quasicrystals, sponsored by the German Research Society and managed by Hans-Rainer Trebin, such that most of the latest results are pre.

The Second Kind of Impossible

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Publisher : Simon & Schuster
ISBN 13 : 147672993X
Total Pages : 400 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis The Second Kind of Impossible by : Paul Steinhardt

Download or read book The Second Kind of Impossible written by Paul Steinhardt and published by Simon & Schuster. This book was released on 2020-01-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: *Shortlisted for the 2019 Royal Society Insight Investment Science Book Prize* One of the most fascinating scientific detective stories of the last fifty years, an exciting quest for a new form of matter. “A riveting tale of derring-do” (Nature), this book reads like James Gleick’s Chaos combined with an Indiana Jones adventure. When leading Princeton physicist Paul Steinhardt began working in the 1980s, scientists thought they knew all the conceivable forms of matter. The Second Kind of Impossible is the story of Steinhardt’s thirty-five-year-long quest to challenge conventional wisdom. It begins with a curious geometric pattern that inspires two theoretical physicists to propose a radically new type of matter—one that raises the possibility of new materials with never before seen properties, but that violates laws set in stone for centuries. Steinhardt dubs this new form of matter “quasicrystal.” The rest of the scientific community calls it simply impossible. The Second Kind of Impossible captures Steinhardt’s scientific odyssey as it unfolds over decades, first to prove viability, and then to pursue his wildest conjecture—that nature made quasicrystals long before humans discovered them. Along the way, his team encounters clandestine collectors, corrupt scientists, secret diaries, international smugglers, and KGB agents. Their quest culminates in a daring expedition to a distant corner of the Earth, in pursuit of tiny fragments of a meteorite forged at the birth of the solar system. Steinhardt’s discoveries chart a new direction in science. They not only change our ideas about patterns and matter, but also reveal new truths about the processes that shaped our solar system. The underlying science is important, simple, and beautiful—and Steinhardt’s firsthand account is “packed with discovery, disappointment, exhilaration, and persistence...This book is a front-row seat to history as it is made” (Nature).

Quasicrystals

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Author :
Publisher : CRC Press
ISBN 13 : 1351209132
Total Pages : 284 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Quasicrystals by : Enrique Maciá-Barber

Download or read book Quasicrystals written by Enrique Maciá-Barber and published by CRC Press. This book was released on 2020-12-18 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: promoting the very notion of quasiperiodic order, and to spur its physical implications and technological capabilities. It, therefore, explores the fundamental aspects of intermetallic, photonic, and phononic quasicrystals, as well as soft-matter quasicrystals, including their intrinsic physical and structural properties. In addition, it thoroughly discusses experimental data and related theoretical approaches to explain them, extending the standard treatment given in most current solid state physics literature. It also explores exciting applications in new technological devices of quasiperiodically ordered systems, including multilayered quasiperiodic systems, along with 2D and 3D designs, whilst outlining new frontiers in quasicrystals research. This book can be used as a reader-friendly introductory text for graduate students, in addition to senior scientists and researchers coming from the fields of physics, chemistry, materials science, and engineering. Key features: • Provides an updated and detailed introduction to the interdisciplinary field of quasicrystals in a tutorial style, considering both fundamental aspects and additional freedom degrees provided by designs based on quasiperiodically ordered materials. • Includes 50 fully worked out exercises with detailed solutions, motivating, and illustrating the different concepts and notions to provide readers with further learning opportunities. • Presents a complete compendium of the current state of the art knowledge of quasicrystalline matter, and outlines future next generation materials based on quasiperiodically ordered designs for their potential use in useful technological devices. Dr. Enrique Maciá-Barber is Professor of condensed matter physics at the Universidad Complutense de Madrid. His research interests include the thermoelectric properties of quasicrystals and DNA biophysics. In 2010 he received the RSEF- BBVA Foundation Excellence Physics Teaching Award. His book Aperiodic Structures in Condensed Matter: Fundamentals and Applications (CRC Press, Boca-Raton, 2009) is one of the Top Selling Physics Books according to YBP Library Services.

Quasicrystals

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Author :
Publisher : Elsevier
ISBN 13 : 9780080555973
Total Pages : 374 pages
Book Rating : 4.5/5 (559 download)

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Book Synopsis Quasicrystals by :

Download or read book Quasicrystals written by and published by Elsevier. This book was released on 2007-12-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at researchers who are working in a field of quasicrystals to provide a reference to recent developments and ideas in the field and also at graduate students, who intend to study quasicrystals, to provide introduction of ideas. Topics in this book cover an entire field of quasicrystals, both experimental and theoretical, including new developments: the state of the art in quasicrystallography, new families of quasicrystals, phasons in aperiodic solids, ab initio studies on stability mechanism, quantum transport phenomena, elastic/plastic properties and surface of quasicrystals. · Comprehensive reviews by experts in the field · Complete reference of original papers and new topics · Intelligible introduction of quasicrystals by experts

Quasicrystals

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Publisher : Springer Science & Business Media
ISBN 13 : 3662050285
Total Pages : 575 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quasicrystals by : J.-B. Suck

Download or read book Quasicrystals written by J.-B. Suck and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.

Natural Quasicrystals

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Publisher : Springer Nature
ISBN 13 : 3030456773
Total Pages : 91 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Natural Quasicrystals by : Luca Bindi

Download or read book Natural Quasicrystals written by Luca Bindi and published by Springer Nature. This book was released on 2020-04-20 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the discovery of quasicrystals (icosahedral and decagonal) in an extraterrestrial rock from the Koryak Mountains of Far Eastern Russia. After a decade-long search for a natural quasicrystal, this discovery opened a new avenue in mineralogy and crystallography that could lead to further discoveries in geoscience, astronomy, condensed matter physics, and materials engineering. For the first time, minerals have been discovered that violate the symmetry restrictions of conventional crystallography. The natural occurrence of such crystals was unexpected, involving previously unknown processes. The fact that the quasicrystals were found in a meteorite formed in the earliest moments of the solar system means these processes have been active for over 4.5 billion years and have influenced the composition of the first objects to condense around the Sun. Finding quasicrystals formed in these extreme environments also informed the longstanding debate concerning the stability and robustness of quasicrystals. Recent shock experiments lend support to the hypothesis that the extraterrestrial quasicrystals formed as a result of hypervelocity impacts between objects in the early Solar system, and that they are probably less rare in the Milky Way.

Generalized Dynamics of Soft-Matter Quasicrystals

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Publisher : Springer Nature
ISBN 13 : 9811666288
Total Pages : 246 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Generalized Dynamics of Soft-Matter Quasicrystals by : Tian-You Fan

Download or read book Generalized Dynamics of Soft-Matter Quasicrystals written by Tian-You Fan and published by Springer Nature. This book was released on 2022-01-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the mathematical models and solutions of the generalized dynamics of soft-matter quasicrystals (SMQ) and introduces possible applications of the theory and methods. Based on the theory of quasiperiodic symmetry and symmetry breaking, the book treats the dynamics of individual quasicrystal systems by reducing them to nonlinear partial differential equations and then provides methods for solving the initial-boundary value problems in these equations. The solutions obtained demonstrate the distribution, deformation and motion of SMQ and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. The reader benefits from a detailed comparison of the mathematical solutions for both solid and soft-matter quasicrystals, gaining a deeper understanding of the universal properties of SMQ. The second edition covers the latest research progress on quasicrystals in topics such as thermodynamic stability, three-dimensional problems and solutions, rupture theory, and the photonic band-gap and its applications. These novel chapters make the book an even more useful and comprehensive reference guide for researchers in condensed matter physics, chemistry and materials sciences.

Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications

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Author :
Publisher : World Scientific
ISBN 13 : 981127911X
Total Pages : 636 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications by : Tian-you Fan

Download or read book Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and published by World Scientific. This book was released on 2023-12-27 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.

Mathematical Theory of Elasticity of Quasicrystals and Its Applications

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Author :
Publisher : Springer
ISBN 13 : 9811019843
Total Pages : 452 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tian-You Fan

Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tian-You Fan and published by Springer. This book was released on 2016-09-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.

Mathematical Theory of Elasticity of Quasicrystals and Its Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642146430
Total Pages : 350 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tianyou Fan

Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tianyou Fan and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.