Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications
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Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications
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Author : Tianyou Fan
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-25
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications written by Tianyou Fan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-25 with Science categories.
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.
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications
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Author : Tian-You Fan
language : en
Publisher: Springer
Release Date : 2016-09-20
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications written by Tian-You Fan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-20 with Science categories.
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 And Generalized Dynamics Of Quasicrystals And Its Applications
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Author : Tian-you Fan
language : en
Publisher: World Scientific
Release Date : 2023-12-27
Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Science categories.
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.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mechanical engineering categories.
Generalized Dynamics Of Soft Matter Quasicrystals
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Author : Tian-You Fan
language : en
Publisher: Springer
Release Date : 2017-10-14
Generalized Dynamics Of Soft Matter Quasicrystals written by Tian-You Fan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-14 with Science categories.
The book systematically introduces the mathematical models and solutions of generalized hydrodynamics of soft-matter quasicrystals (SMQ). It provides methods for solving the initial-boundary value problems in these systems. The solutions obtained demonstrate the distribution, deformation and motion of the soft-matter quasicrystals, and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. Mathematical solutions for solid and soft-matter quasicrystals are compared, to help readers to better understand the featured properties of SMQ.
Integral Equations Boundary Value Problems And Related Problems
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Author : Xing Li
language : en
Publisher: World Scientific
Release Date : 2013
Integral Equations Boundary Value Problems And Related Problems written by Xing Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.
Fracture Mechanics Applications
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Author : Hayri Baytan Ozmen
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-09-23
Fracture Mechanics Applications written by Hayri Baytan Ozmen and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Technology & Engineering categories.
Fracture mechanics deals with the cracking behavior of materials, and cracking defines the limit state for many components of engineering systems. Fracture mechanics principles can help us design more robust components to ensure safer airplanes, space shuttles, ships, cranes, buildings, bridges, and mechanical systems. Written by researchers and experts of the field, this book examines recent progress in fracture mechanics applications. Chapters cover such topics as rupture theory, the J-integral, knitted fabric-reinforced polymer composites, and artificial neural networks to detect structural damage, among others. This volume is designed for graduate students, researchers, and practicing engineers.
Hydrodynamics
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Author : Harry Schulz
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-12-22
Hydrodynamics written by Harry Schulz and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Science categories.
The phenomena related to the flow of fluids are generally complex, and difficult to quantify. New approaches - considering points of view still not explored - may introduce useful tools in the study of Hydrodynamics and the related transport phenomena. The details of the flows and the properties of the fluids must be considered on a very small scale perspective. Consequently, new concepts and tools are generated to better describe the fluids and their properties. This volume presents conclusions about advanced topics of calculated and observed flows. It contains eighteen chapters, organized in five sections: 1) Mathematical Models in Fluid Mechanics, 2) Biological Applications and Biohydrodynamics, 3) Detailed Experimental Analyses of Fluids and Flows, 4) Radiation-, Electro-, Magnetohydrodynamics, and Magnetorheology, 5) Special Topics on Simulations and Experimental Data. These chapters present new points of view about methods and tools used in Hydrodynamics.
Proceedings Of The Third International Conference On Sustainable Civil Engineering And Architecture
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Author : J. N. Reddy
language : en
Publisher: Springer Nature
Release Date : 2023-12-11
Proceedings Of The Third International Conference On Sustainable Civil Engineering And Architecture written by J. N. Reddy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-11 with Architecture categories.
This book includes articles from the Third International Conference on Sustainable Civil Engineering and Architecture (ICSSEA 2023), held at Da Nang City, Vietnam, on July 19-21, 2023. The conference brings together international experts from both academia and industry to share their knowledge and expertise, facilitate collaboration, and improve cooperation in the field. The book focuses on the most recent developments in sustainable architecture and civil engineering, including offshore structures, structural engineering, building materials, and architecture.
New Achievements In Mechanics
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Author : Wolfgang H. Müller
language : en
Publisher: Springer Nature
Release Date : 2024-05-26
New Achievements In Mechanics written by Wolfgang H. Müller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-26 with Science categories.
This book presents various solutions modeling in the performance and behavior of advanced materials and engineering structures. In this book, famous scientists in the field of materials mechanics share their knowledge in honor of the late Professor of Mechanics Klaus-Peter Herrmann from the University of Paderborn. This book discusses in particular topics like fracture and damage mechanics, numerical mathematics and computational simulations, and mechanics and thermodynamics of advanced materials.