General Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus. Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity Provides help in handling the power-law functions Introduces and explores the questions about general fractional derivatives and its applications

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  • Author : Xiao-Jun Yang
  • Publisher : Academic Press
  • Pages : 454 pages
  • ISBN : 0128172096
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKGeneral Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity
  • Author : Xiao-Jun Yang,Feng Gao,Yang Ju
  • Publisher : Academic Press
  • Release : 03 April 2020
GET THIS BOOKGeneral Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as

Viscoelasticity

Viscoelasticity
  • Author : Juan De Vicente
  • Publisher : BoD – Books on Demand
  • Release : 07 November 2012
GET THIS BOOKViscoelasticity

This book contains a wealth of useful information on current research on viscoelasticity. By covering a broad variety of rheology, non-Newtonian fluid mechanics and viscoelasticity-related topics, this book is addressed to a wide spectrum of academic and applied researchers and scientists but it could also prove useful to industry specialists. The subject areas include, theory, simulations, biological materials and food products among others.

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity
  • Author : Richard Allan Schapery
  • Publisher : Unknown Publisher
  • Release : 17 January 1962
GET THIS BOOKIrreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity

A unified theory of the thermo-mechanical behavior of viscoelastic media is developed from studying the thermodynamics of irreversible processes, and includes discussions of the general equations of motion, crack propagation, variational principles, and approximate methods of stress analysis.

Viscoelastic Materials

Viscoelastic Materials
  • Author : Roderic S. Lakes
  • Publisher : Cambridge University Press
  • Release : 27 April 2009
GET THIS BOOKViscoelastic Materials

Understanding viscoelasticity is pertinent to design applications as diverse as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music. This book fits a one-semester graduate course on the properties, analysis, and uses of viscoelastic materials. Those familiar with the author's precursor book, Viscoelastic Solids, will see that this book contains many updates and expanded coverage of the materials science, causes of viscoelastic behavior, properties of materials of biological origin, and

Applications of Generalized Derivatives to Viscoelasticity

Applications of Generalized Derivatives to Viscoelasticity
  • Author : Ronald L. Bagley,AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING.,AIR FORCE MATERIALS LAB WRIGHT-PATTERSON AFB OH.,Air Force Institute of Technology (U.S.),Air Force Materials Laboratory (U.S.),Air Force Wright Aeronautical Laboratories
  • Publisher : Unknown Publisher
  • Release : 17 January 1979
GET THIS BOOKApplications of Generalized Derivatives to Viscoelasticity

Generalized derivatives of fractional order are used to construct stress-strain constitutive relations for viscoelastic materials, based on the observed sinusoidal behavior of the materials. The non-periodic behavior of one material is observed in the laboratory and compares favorably with the non-periodic behavior of the material predicted by its generalized derivative constitutive relation. Having established that the generalized derivative constitutive relation is an appropriate mathematical model for the general motion of at least one viscoelastic material, the tools for the analysis

Polymer Rheology

Polymer Rheology
  • Author : Jose Luis Rivera Armenta,Beatriz Adriana Salazar-Cruz
  • Publisher : BoD – Books on Demand
  • Release : 03 October 2018
GET THIS BOOKPolymer Rheology

Rheology is the science that studies the behavior of the flow of matter in a liquid state or soft solids under the application of stress or deformation to obtain a response to an applied force. In polymers, rheology is an important tool to understand behavior under processing conditions and to design equipment. Another application for rheology in the polymer field is to understand structure-property relationships by means of molecular weight, molecular weight distribution, stereochemistry, morphology, melt degradation, and performance under

Viscoelasticity — Basic Theory and Applications to Concrete Structures

Viscoelasticity — Basic Theory and Applications to Concrete Structures
  • Author : Guillermo J. Creus
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKViscoelasticity — Basic Theory and Applications to Concrete Structures

This book contains notes for a one-semester graduate course which is an introduction to the study of viscoelasticity and creep of concrete. Emphasis was set on the conceptual aspects rather than on the mathematical or computational refinements. The mathematical structure of viscoelasticity is discussed with some care because it clarifies the basic concepts and has important consequences in computa tional applications. Basic ideas are exemplified using the simplest problems and constitutive models in order to be able to show complete

Viscoelastic Solids (1998)

Viscoelastic Solids (1998)
  • Author : Roderic S. Lakes
  • Publisher : CRC Press
  • Release : 22 November 2017
GET THIS BOOKViscoelastic Solids (1998)

Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of

Viscoelastic Properties of Polymers

Viscoelastic Properties of Polymers
  • Author : John D. Ferry
  • Publisher : John Wiley & Sons
  • Release : 16 September 1980
GET THIS BOOKViscoelastic Properties of Polymers

Viscoelastic behavior reflects the combined viscous and elastic responses, under mechanical stress, of materials which are intermediate between liquids and solids in character. Polymers the basic materials of the rubber and plastic industries and important to the textile, petroleum, automobile, paper, and pharmaceutical industries as well exhibit viscoelasticity to a pronounced degree. Their viscoelastic properties determine the mechanical performance of the final products of these industries, and also the success of processing methods at intermediate stages of production. Viscoelastic Properties

Engineering Viscoelasticity

Engineering Viscoelasticity
  • Author : Danton Gutierrez-Lemini
  • Publisher : Springer Science & Business Media
  • Release : 12 September 2013
GET THIS BOOKEngineering Viscoelasticity

Engineering Viscoelasticity covers all aspects of the thermo- mechanical response of viscoelastic substances that a practitioner in the field of viscoelasticity would need to design experiments, interpret test data, develop stress-strain models, perform stress analyses, design structural components, and carry out research work. The material in each chapter is developed from the elementary to the esoteric, providing the background in mathematics and mechanics that are central to understanding the subject matter being presented. This book also examines how viscoelastic materials

Understanding Viscoelasticity

Understanding Viscoelasticity
  • Author : Nhan Phan-Thien,Nam Mai-Duy
  • Publisher : Springer
  • Release : 27 July 2017
GET THIS BOOKUnderstanding Viscoelasticity

This book presents an introduction to viscoelasticity, in particular, to the theories of dilute polymer solutions and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical techniques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasis of this book is not on the voluminous

Polymer Engineering Science and Viscoelasticity

Polymer Engineering Science and Viscoelasticity
  • Author : Hal F. Brinson,L. Catherine Brinson
  • Publisher : Springer
  • Release : 24 January 2015
GET THIS BOOKPolymer Engineering Science and Viscoelasticity

This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental

Viscoelastic and Viscoplastic Materials

Viscoelastic and Viscoplastic Materials
  • Author : Mohamed El-Amin
  • Publisher : BoD – Books on Demand
  • Release : 21 September 2016
GET THIS BOOKViscoelastic and Viscoplastic Materials

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.

Polymer Viscoelasticity

Polymer Viscoelasticity
  • Author : Evaristo Riande,Ricardo Diaz-Calleja,Margarita Prolongo,Rosa Masegosa,Catalina Salom
  • Publisher : CRC Press
  • Release : 05 November 1999
GET THIS BOOKPolymer Viscoelasticity

Showcasing vital engineering applications to transient and dynamic pertubations of macromolecular materials, structural recovery's role in mechanical responses in the glassy state, and viscoelastic parameters that condition the non-Newtonian behaviour of polymers, this work presents a systematic account of the responses of macromolecular materials to mechanical force fields. It focuses on the most important features of the linear stress-strain relationships for ideal solids and liquids.

Applications in Physics

Applications in Physics
  • Author : Vasily E. Tarasov
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 19 February 2019
GET THIS BOOKApplications in Physics

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 fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.