Nonlinear Mesoscopic Elasticity
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Nonlinear Mesoscopic Elasticity
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Author : Robert A. Guyer
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-14
Nonlinear Mesoscopic Elasticity written by Robert A. Guyer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-14 with Science categories.
This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.
Nonlinear Mesoscopic Elasticity In Solids
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Author : R. A. Guyer
language : en
Publisher:
Release Date : 2001
Nonlinear Mesoscopic Elasticity In Solids written by R. A. Guyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
A variety of materials reside in the purported elasticity universality class characterized by 'nonlinear mesoscopic elasticity. Rocks, the prototypical member of this class, have extreme nonlinearity (NL), hysteresis (H), and discrete memory (DM). The experimental manifestations of NL, H, and DM will be described with Berea sandstone as example. NL, H, and DM lead to unusual behavior in laboratory resonance measurements and in a variety of geophysical contexts. An effort will be made to identify the microscopic features of materials that might be placed in this elasticity universality class.
Slow Dynamics Experiments In Solids With Nonlinear Mesoscopic Elasticity
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Author :
language : en
Publisher:
Release Date : 1999
Slow Dynamics Experiments In Solids With Nonlinear Mesoscopic Elasticity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
As revealed by longitudinal bar resonance experiments, materials such as rocks and concrete show a rich diversity of nonlinear elastic behavior. As a function of increasing drive level, resonance frequencies shift downward by several percent, the resonant line shape changes, and harmonics and slow dynamics appear. Slow dynamics [1] refers to the time-dependent recovery of an elastic modulus to its initial value after being softened by large strain. In order to explore the mechanisms of nonlinear response including slow dynamics, we performed experiments on concrete and several different earth materials. The softening (conditioning) and recovery processes appear to be asymmetric. Conditioning takes place quickly; full recovery of the elastic modulus (as measured by drift of the resonance peak) takes minutes to hours, depending on the length of time the conditioning strain was applied. We find that for a wide variety of rocks and concretes, the recovery of the resonant frequency goes as log(time). Logarithmic time-dependence is a phenomenon associated with static friction and restoration of surface contacts, which in rocks probably takes place at touching crack surfaces.
Nonlinear Mesoscopic Elasticity
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Author : Robert A. Guyer
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-28
Nonlinear Mesoscopic Elasticity written by Robert A. Guyer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-28 with Science categories.
This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.
Optimisation Globale De Structures Des Convertisseurs Statiques Aspects C E M
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Author :
language : en
Publisher:
Release Date : 1997
Optimisation Globale De Structures Des Convertisseurs Statiques Aspects C E M written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Nonlinear Elasticity
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Author : R. W. Dickey
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Nonlinear Elasticity written by R. W. Dickey and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity. Organized into 11 chapters, this book begins with an overview of the nonlinear theory of buckling of elastic shells. This text then examines the ways in which the energy criterion supplies a necessary condition for asymptotic stability. Other chapters consider some of the phenomena, both physical and mathematical, that typify the large deformation of a nonlinearly elastic body. This book discusses as well the concepts leading to a criterion for instabilities and discusses how the criterion applies to some well-known ideal materials. The final chapter deals with the structure of strong shocks and studies the evolution of such a shock produced by a suddenly-applied strain. This book is a valuable resource for mathematicians.
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.
Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Hysteresis And Nonlinear Elasticity In Rocks
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Author :
language : en
Publisher:
Release Date : 1993
Hysteresis And Nonlinear Elasticity In Rocks written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
The purpose of this paper is to describe a theory of the propagation of elastic waves in hysteretic nonlinear elastic materials, e.g., rock. In the next section, we introduce the Priesach-Mayergoyz (P-M) model [6,7] of hysteretic systems and adapt it to describe the hysteretic mesoscopic elastic units (HMEU) determining the elastic properties of a rock. We combine the P-M model with effective medium theory (EMT) [8] to find the elastic response of a rock that has experienced a specified pressure history. Next, we consider elastic wave propagation in a hysteretic nonlinear elastic system governed by a history dependent equation of state. We consider one-dimensional propagation of compressional waves. The equation of motion for the longitudinal displacement field contains the same hysteretic nonlinear interactions that characterize the equation of state. We solve the equation of motion using the Green function technique developed by McCall [9]. This solution lets us identify the qualitative features in harmonic generation that are signatures of nonlinearity and hysteresis.
Nonlinear Elasticity And Hysteresis
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Author : Alicia H. Kim
language : en
Publisher: John Wiley & Sons
Release Date : 2015-03-09
Nonlinear Elasticity And Hysteresis written by Alicia H. Kim and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-09 with Technology & Engineering categories.
The book provides the reader with the knowledge, tools, and methods to understand the phenomenon of hysteresis in porous materials. As many challenges have been met only recently, the book summarizes the research results usually found only scattered in the literature, connecting knowledge from traditionally separated research fields to provide a better understanding of the physical phenomena of coupled elastic-fluid systems. The result is an invaluable self-contained reference book for materials scientists, civil, mechanical and construction engineers concerned with development and maintenance of structures made of porous materials.
Foundations Of The Nonlinear Theory Of Elasticity
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Author : V. V. Novozhilov
language : en
Publisher: Courier Corporation
Release Date : 1999-01-01
Foundations Of The Nonlinear Theory Of Elasticity written by V. V. Novozhilov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Technology & Engineering categories.
This is an essential book for students and academicians alike. In addition to discussing theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain, and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition.