Continuum Mechanics Of Viscoelastic Liquids
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Continuum Mechanics Of Viscoelastic Liquids
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Author : R. R. Huilgol
language : en
Publisher: Hindustan Publishing Corporation (India)
Release Date : 1975
Continuum Mechanics Of Viscoelastic Liquids written by R. R. Huilgol and has been published by Hindustan Publishing Corporation (India) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Science categories.
Continuum Mechanics
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Author : Ellis H. Dill
language : en
Publisher: CRC Press
Release Date : 2006-11-10
Continuum Mechanics written by Ellis H. Dill and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-10 with Science categories.
Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.
Collected Papers Of R S Rivlin
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Author : Ronald S. Rivlin
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Collected Papers Of R S Rivlin written by Ronald S. Rivlin 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 1997 with Mathematics categories.
R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Fluid Dynamics Of Viscoelastic Liquids
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Author : Daniel D. Joseph
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Fluid Dynamics Of Viscoelastic Liquids written by Daniel D. Joseph 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 2013-11-27 with Science categories.
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this,all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
The Mechanics Of Viscoelastic Fluids
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Author : American Society of Mechanical Engineers. Applied Mechanics Division
language : en
Publisher:
Release Date : 1977
The Mechanics Of Viscoelastic Fluids written by American Society of Mechanical Engineers. Applied Mechanics Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Fluid dynamics categories.
Falling Liquid Films
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Author : S. Kalliadasis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-24
Falling Liquid Films written by S. Kalliadasis 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 2011-09-24 with Mathematics categories.
Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.
Recent Advances In The Continuum Mechanics Of Viscoelastic Liquids
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Author :
language : en
Publisher:
Release Date : 1986
Recent Advances In The Continuum Mechanics Of Viscoelastic Liquids written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
The kinematics of viscoelastic fluid flows the development of constitutive relations and their use in viscometric and nonviscometric flows is given. Experimental data in viscometric flows, extensional flows and the eccentric rotating disk motion along with oscillatory shear flows are presented and compared with theoretical predictions. The flow classification scheme for selection of the appropriate constitutive equation and the perturbation schemes applicable to fixed and variable domains are described. These are applied to review the literature on particle motions, lubrication problems and rotating flows. Stability of the flows is discussed along with some recent work on existence, uniqueness and the use of dynamical system and hyperbolic theory in connection with propagating singular surfaces.
Viscoelasticity Of Polymers
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Author : Kwang Soo Cho
language : en
Publisher: Springer
Release Date : 2016-05-30
Viscoelasticity Of Polymers written by Kwang Soo Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Technology & Engineering categories.
This book offers a comprehensive introduction to polymer rheology with a focus on the viscoelastic characterization of polymeric materials. It contains various numerical algorithms for the processing of viscoelastic data, from basic principles to advanced examples which are hard to find in the existing literature. The book takes a multidisciplinary approach to the study of the viscoelasticity of polymers, and is self-contained, including the essential mathematics, continuum mechanics, polymer science and statistical mechanics needed to understand the theories of polymer viscoelasticity. It covers recent achievements in polymer rheology, such as theoretical and experimental aspects of large amplitude oscillatory shear (LAOS), and numerical methods for linear viscoelasticity, as well as new insights into the interpretation of experimental data. Although the book is balanced between the theoretical and experimental aspects of polymer rheology, the author’s particular interest in the theoretical side will not remain hidden. Aimed at readers familiar with the mathematics and physics of engineering at an undergraduate level, the multidisciplinary approach employed enables researchers with various scientific backgrounds to expand their knowledge of polymer rheology in a systematic way.
Continuum Mechanics With Eulerian Formulations Of Constitutive Equations
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Author : M.B. Rubin
language : en
Publisher: Springer Nature
Release Date : 2020-10-11
Continuum Mechanics With Eulerian Formulations Of Constitutive Equations written by M.B. Rubin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-11 with Science categories.
This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.
Fluid Mechanics Of Viscoelasticity
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Author : R.R. Huilgol
language : en
Publisher: Elsevier
Release Date : 1997-06-02
Fluid Mechanics Of Viscoelasticity written by R.R. Huilgol and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-02 with Science categories.
The areas of suspension mechanics, stability and computational rheology have exploded in scope and substance in the last decade. The present book is one of the first of a comprehensive nature to treat these topics in detail. The aim of the authors has been to highlight the major discoveries and to present a number of them in sufficient breadth and depth so that the novice can learn from the examples chosen, and the expert can use them as a reference when necessary.The first two chapters, grouped under the category General Principles, deal with the kinematics of continuous media and the balance laws of mechanics, including the existence of the stress tensor and extensions of the laws of vector analysis to domains bounded by fractal curves or surfaces. The third and fourth chapters, under the heading Constitutive Modelling, present the tools necessary to formulate constitutive equations from the continuum or the microstructural approach. The last three chapters, under the caption Analytical and Numerical Techniques, contain most of the important results in the domain of the fluid mechanics of viscoelasticity, and form the core of the book.A number of topics of interest have not yet been developed to a theoretical level from which applications can be made in a routine manner. However, the authors have included these topics to make the reader aware of the state of affairs so that research into these matters can be carried out. For example, the sections which deal with domains bounded by fractal curves or surfaces show that the existence of a stress tensor in such regions is still open to question. Similarly, the constitutive modelling of suspensions, especially at high volume concentrations, with the corresponding particle migration from high to low shear regions is still very sketchy.