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Nonlinear Mesoscopic Elasticity

Nonlinear Mesoscopic Elasticity
Author: Robert A. Guyer
Publisher: John Wiley & Sons
Total Pages: 410
Release: 2009-09-28
Genre: Science
ISBN: 3527407030

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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

Nonlinear Mesoscopic Elasticity in Solids
Author: R. A. Guyer
Publisher:
Total Pages: 10
Release: 2001
Genre:
ISBN:

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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.

SLOW DYNAMICS EXPERIMENTS IN SOLIDS WITH NONLINEAR MESOSCOPIC ELASTICITY.
Author:
Publisher:
Total Pages:
Release: 1999
Genre:
ISBN:

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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 Elasticity

Nonlinear Elasticity
Author: Y. B. Fu
Publisher: Cambridge University Press
Total Pages: 541
Release: 2001-05-07
Genre: Mathematics
ISBN: 0521796954

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Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.


Nonlinear Elasticity

Nonlinear Elasticity
Author: R. W. Dickey
Publisher: Academic Press
Total Pages: 415
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483264793

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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.


Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity
Author: V. V. Novozhilov
Publisher: Courier Corporation
Total Pages: 260
Release: 1999-01-01
Genre: Technology & Engineering
ISBN: 9780486406848

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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.


Nonlinear Elasticity

Nonlinear Elasticity
Author: James Johnston Stoker
Publisher:
Total Pages: 276
Release: 1948*
Genre: Elasticity
ISBN:

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Nonlinear Acoustic Waves in Micro-inhomogeneous Solids

Nonlinear Acoustic Waves in Micro-inhomogeneous Solids
Author: Veniamin Nazarov
Publisher: John Wiley & Sons
Total Pages: 263
Release: 2015-01-27
Genre: Science
ISBN: 1118456084

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Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.


Universality of Nonclassical Nonlinearity

Universality of Nonclassical Nonlinearity
Author: Pier Paolo Delsanto
Publisher: Springer Science & Business Media
Total Pages: 535
Release: 2006-12-13
Genre: Science
ISBN: 038735851X

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This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.