Linear And Non Linear Deformations Of Elastic Solids
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Linear And Non Linear Deformations Of Elastic Solids
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Author : Arabinda Roy
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Linear And Non Linear Deformations Of Elastic Solids written by Arabinda Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Technology & Engineering categories.
Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
Non Linear Elastic Deformations
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Author : R. W. Ogden
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01
Non Linear Elastic Deformations written by R. W. Ogden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Technology & Engineering categories.
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Non Linear Elastic Deformations
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Author : R. W. Ogden
language : en
Publisher: Courier Corporation
Release Date : 2013-04-26
Non Linear Elastic Deformations written by R. W. Ogden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Technology & Engineering categories.
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Advances In Linear And Nonlinear Continuum And Structural Mechanics
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2023-12-03
Advances In Linear And Nonlinear Continuum And Structural Mechanics written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-03 with Science categories.
This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.
Nonlinear Elasticity
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Author : Y. B. Fu
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-07
Nonlinear Elasticity written by Y. B. Fu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-07 with Mathematics categories.
Nonlinear elasticity is concerned with nonlinear effects associated with deformations of elastic bodies subjected to external forces or temperature variations. It has important applications in many areas, including the aerospace and rubber industries, and biomechanics. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of several major current research directions in this important field. It combines the characteristics of coherence and detail found in standard treatises with the strength and freshness of research articles. The emphasis is placed firmly on coverage of modern topics and recent developments rather than on the very theoretical approach often found. The book will be an excellent reference source for both beginners and specialists in engineering, applied mathematics and physics. It is also ideally suited for graduate courses.
Finite Elasticity And Viscoelasticity A Course In The Nonlinear Mechanics Of Solids
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Author : Aleksey Drozdov
language : en
Publisher: World Scientific
Release Date : 1996-01-11
Finite Elasticity And Viscoelasticity A Course In The Nonlinear Mechanics Of Solids written by Aleksey 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 1996-01-11 with Mathematics 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.
Nonlinear Solid Mechanics
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Author : Davide Bigoni
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-30
Nonlinear Solid Mechanics written by Davide Bigoni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Mathematics categories.
Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.
Nonlinear Elastic Waves In Materials
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Author : Jeremiah J. Rushchitsky
language : en
Publisher: Springer Science & Business
Release Date : 2014-04-23
Nonlinear Elastic Waves In Materials written by Jeremiah J. Rushchitsky and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-23 with Science categories.
The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.
Nonlinear Mechanics Of Soft Fibrous Materials
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Author : Luis Dorfmann
language : en
Publisher: Springer
Release Date : 2014-12-02
Nonlinear Mechanics Of Soft Fibrous Materials written by Luis Dorfmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-02 with Science categories.
The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenological approach, a strain energy density function can be defined in terms of strain invariants. The other approach is based on kinetic theories, which treats a fibrous material as a randomly oriented inter-tangled network of long molecular chains bridged by permanent and temporary junctions. At the micro-level, these are associated with chemical crosslinks and active entanglements, respectively. The papers include carefully crafted overviews of the fundamental formulation of the three-dimensional theory from several points of view, and address their equivalences and differences. Also included are solutions to boundary-value problems which are amenable to experimental verification. A further aspect is the elasticity of filaments, stability of equilibrium and thermodynamics of the molecular network theory.
Mechanics And Thermomechanics Of Rubberlike Solids
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Author : Guiseppe Saccomandi
language : en
Publisher: Springer
Release Date : 2014-05-04
Mechanics And Thermomechanics Of Rubberlike Solids written by Guiseppe Saccomandi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.