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Hysteresis and Nonlinear Elasticity in Rocks

Hysteresis and Nonlinear Elasticity in Rocks
Author:
Publisher:
Total Pages: 9
Release: 1993
Genre:
ISBN:
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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

Nonlinear Elasticity and Hysteresis
Author: Alicia H. Kim
Publisher: John Wiley & Sons
Total Pages: 224
Release: 2014-12-17
Genre: Technology & Engineering
ISBN: 3527665099
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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.

Nonlinear Mesoscopic Elasticity

Nonlinear Mesoscopic Elasticity
Author: Robert A. Guyer
Publisher: John Wiley & Sons
Total Pages: 410
Release: 2009-08-14
Genre: Science
ISBN: 3527628274
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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.

Seismic Resistant Design and Technology

Seismic Resistant Design and Technology
Author: Dentcho Ivanov
Publisher: CRC Press
Total Pages: 210
Release: 2015-06-26
Genre: Science
ISBN: 1498705375
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An earthquake is a powerful surface acoustic wave (SAW) generated by a seismic event, such as a volcano or motion of the Earth's layers, that propagates on the Earth's surface. This book explains the design of earthquake resistant structures using SAW techniques that offer a variety of experimental setups and theoretical models. Designs of protecti

Computational Modelling of Concrete Structures

Computational Modelling of Concrete Structures
Author: Gunther Meschke
Publisher: CRC Press
Total Pages: 952
Release: 2006-03-16
Genre: Mathematics
ISBN: 9780415397490
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This conference proceedings brings together the work of researchers and practising engineers concerned with computational modelling of complex concrete, reinforced concrete and prestressed concrete structures in engineering practice. The subjects considered include computational mechanics of concrete and other cementitious materials, including masonry. Advanced discretisation methods and microstructural aspects within multi-field and multi-scale settings are discussed, as well as modelling formulations and constitutive modelling frameworks and novel experimental programmes. The conference also considered the need for reliable, high-quality analysis and design of concrete structures in regard to safety-critical structures, with a view to adopting these in codes of practice or recommendations. The book is of special interest to researchers in computational mechanics, and industry experts in complex nonlinear simulations of concrete structures.

Seismic Ambient Noise

Seismic Ambient Noise
Author: Nori Nakata
Publisher: Cambridge University Press
Total Pages: 373
Release: 2019-03-21
Genre: Nature
ISBN: 1108417086
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A comprehensive overview of seismic ambient noise, covering observations, physical origins, modelling, processing methods and applications in imaging and monitoring.