Fractional Calculus And Waves In Linear Viscoelasticity
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Fractional Calculus And Waves In Linear Viscoelasticity
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Author : Francesco Mainardi
language : en
Publisher: World Scientific
Release Date : 2010
Fractional Calculus And Waves In Linear Viscoelasticity written by Francesco Mainardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book is likely to be of interest to applied scientists and engineers. --Book Jacket.
Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition
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Author : Francesco Mainardi
language : en
Publisher: World Scientific
Release Date : 2022-08-16
Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition written by Francesco Mainardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-16 with Mathematics categories.
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.
Fractional Calculus Theory And Applications
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Author : Francesco Mainardi
language : en
Publisher: MDPI
Release Date : 2018-09-20
Fractional Calculus Theory And Applications written by Francesco Mainardi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Mathematics categories.
This book is a printed edition of the Special Issue "Fractional Calculus: Theory and Applications" that was published in Mathematics
Viscoelastic And Viscoplastic Materials
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Author : Mohamed El-Amin
language : en
Publisher: BoD – Books on Demand
Release Date : 2016-09-21
Viscoelastic And Viscoplastic Materials written by Mohamed El-Amin 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 2016-09-21 with Science categories.
This book introduces numerous selected advanced topics in viscoelastic and viscoplastic materials. The book effectively blends theoretical, numerical, modeling and experimental aspects of viscoelastic and viscoplastic materials that are usually encountered in many research areas such as chemical, mechanical and petroleum engineering. The book consists of 14 chapters that can serve as an important reference for researchers and engineers working in the field of viscoelastic and viscoplastic materials.
Mechanics And Mechatronics Icmm2015 Proceedings Of The 2015 International Conference
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Author : A. Mehran Shahhosseini
language : en
Publisher: World Scientific
Release Date : 2015-11-02
Mechanics And Mechatronics Icmm2015 Proceedings Of The 2015 International Conference written by A. Mehran Shahhosseini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Science categories.
This proceedings brings together one hundred and fifty two selected papers presented at the 2015 International Conference on Mechanics and Mechatronics (ICMM 2015), which was held in Changsha, Hunan, China, during March 13-15 2015.ICMM 2015 focuses on 7 main areas -- Applied Mechanics, Mechanical Engineering, Instrumentation, Automation, and Robotics, Computer Information Processing, and Civil Engineering. Experts in this field from eight countries, including China, South Korea, Taiwan, Japan, Malaysia, Hong Kong, Indonesia and Saudi Arabia, contributed to the collection of research results and developments.ICMM 2015 provides an excellent international platform for researchers to share their knowledge and results in theory, methodology and applications of Applied Mechanics and Mechatronics. All papers selected to this proceedings were subject to a rigorous peer-review process by at least two independent peers. The papers are selected based on innovation, organization, and quality of presentation.
Fractional Differential Equations
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Author : Anatoly Kochubei
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Fractional Differential Equations written by Anatoly Kochubei and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Fractional Calculus
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Author : Dumitru Baleanu
language : en
Publisher: World Scientific
Release Date : 2012
Fractional Calculus written by Dumitru Baleanu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This title will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.
Continuum Mechanics Through The Ages From The Renaissance To The Twentieth Century
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Author : Gérard A. Maugin
language : en
Publisher: Springer
Release Date : 2015-11-19
Continuum Mechanics Through The Ages From The Renaissance To The Twentieth Century written by Gérard A. Maugin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-19 with Science categories.
Mixing scientific, historic and socio-economic vision, this unique book complements two previously published volumes on the history of continuum mechanics from this distinguished author. In this volume, Gérard A. Maugin looks at the period from the renaissance to the twentieth century and he includes an appraisal of the ever enduring competition between molecular and continuum modelling views. Chapters trace early works in hydraulics and fluid mechanics not covered in the other volumes and the author investigates experimental approaches, essentially before the introduction of a true concept of stress tensor. The treatment of such topics as the viscoelasticity of solids and plasticity, fracture theory, and the role of geometry as a cornerstone of the field, are all explored. Readers will find a kind of socio-historical appraisal of the seminal contributions by our direct masters in the second half of the twentieth century. The analysis of the teaching and research texts by Duhem, Poincaré and Hilbert on continuum mechanics is key: these provide the most valuable documentary basis on which a revival of continuum mechanics and its formalization were offered in the late twentieth century. Altogether, the three volumes offer a generous conspectus of the developments of continuum mechanics between the sixteenth century and the dawn of the twenty-first century. Mechanical engineers, applied mathematicians and physicists alike will all be interested in this work which appeals to all curious scientists for whom continuum mechanics as a vividly evolving science still has its own mysteries.
Waves With Power Law Attenuation
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Author : Sverre Holm
language : en
Publisher: Springer
Release Date : 2019-04-15
Waves With Power Law Attenuation written by Sverre Holm and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-15 with Science categories.
This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion laws that cannot be described with classical viscous and relaxation models. This is accompanied by temporal power laws rather than the temporal exponential responses of classical models. The book starts by reformulating the classical models of acoustics in terms of standard models from linear elasticity. Then, non-classical loss models that follow power laws and which are expressed via convolution models and fractional derivatives are covered in depth. In addition, parallels are drawn to electromagnetic waves in complex dielectric media. The book also contains historical vignettes and important side notes about the validity of central questions. While addressed primarily to physicists and engineers working in the field of acoustics, this expert monograph will also be of interest to mathematicians, mathematical physicists, and geophysicists.
Theory And Applications Of Non Integer Order Systems
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Author : Artur Babiarz
language : en
Publisher: Springer
Release Date : 2016-09-15
Theory And Applications Of Non Integer Order Systems written by Artur Babiarz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Technology & Engineering categories.
This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.