Finite Elasticity And Viscoelasticity

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Finite Elasticity And Viscoelasticity
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Author : Aleksey D. Drozdov
language : en
Publisher: World Scientific
Release Date : 1996-01-01
Finite Elasticity And Viscoelasticity written by Aleksey D. Drozdov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Science categories.
This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
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.
Viscoelastic Structures
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Author : Aleksey D. Drozdov
language : en
Publisher: Academic Press
Release Date : 1998-02-09
Viscoelastic Structures written by Aleksey D. Drozdov and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-09 with Science categories.
Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes1Includes numerous examples to demonstrate theory which have not been included in previous literature1Employs one consistent, user-friendly method to study a number of technological processes1Features unique approach to aging materials1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Viscoelastic Solids
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Author : Roderic S. Lakes
language : en
Publisher: CRC Press
Release Date : 1998-10-28
Viscoelastic Solids written by Roderic S. Lakes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-28 with Technology & Engineering categories.
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 materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
Mechanistic Constitutive Models For Rubber Elasticity And Viscoelasticity
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Author : Michael Anthony Puso
language : en
Publisher:
Release Date : 1994
Mechanistic Constitutive Models For Rubber Elasticity And Viscoelasticity written by Michael Anthony Puso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Nonlinear Theory Of Elasticity
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Author : Larry Alan Taber
language : en
Publisher: World Scientific
Release Date : 2004
Nonlinear Theory Of Elasticity written by Larry Alan Taber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.
Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2013-03-14 with Technology & Engineering categories.
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
Nonlinear Viscoelastic Solids
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Author : F. J. Lockett
language : en
Publisher:
Release Date : 1972
Nonlinear Viscoelastic Solids written by F. J. Lockett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Science categories.
Recent Advances In Elasticity Viscoelasticity And Inelasticity
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Author : Kumbakonam R Rajagopal
language : en
Publisher: World Scientific
Release Date : 1995-02-20
Recent Advances In Elasticity Viscoelasticity And Inelasticity written by Kumbakonam R Rajagopal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-20 with Mathematics categories.
This is a collection of papers dedicated to Prof T C Woo to mark his 70th birthday. The papers focus on recent advances in elasticity, viscoelasticity and inelasticity, which are related to Prof Woo's work. Prof Woo's recent work concentrates on the viscoelastic and viscoplastic response of metals and plastics when thermal effects are significant, and the papers here address open questions in these and related areas.
Classical And Computational Solid Mechanics
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Author : Yuan-cheng Fung
language : en
Publisher: World Scientific
Release Date : 2001
Classical And Computational Solid Mechanics written by Yuan-cheng Fung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.
This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.