2 edition of **Study of elastic wave propagation and damping in granular materials** found in the catalog.

Study of elastic wave propagation and damping in granular materials

B. O. Hardin

- 155 Want to read
- 32 Currently reading

Published
**1961** .

Written in English

**Edition Notes**

Statement | by B.O. Hardin. |

ID Numbers | |
---|---|

Open Library | OL20743628M |

Don't show me this again. Welcome! This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.. No enrollment or registration. T1 - Wave propagation in elastic layers with damping. T2 - 23rd International Congress on Sound and Vibration, ICSV AU - Sorokin, Sergey. AU - Darula, Radoslav. PY - Y1 - N2 - The conventional concepts of a loss factor and complex-valued elastic moduli are used to study wave attenuation in a visco-elastic : Sergey Sorokin, Radoslav Darula.

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Study of elastic wave propagation and damping in granular materials by bobby ott hardin a dissertation presented to the graduate council of the university of florida in partial fulfillment of the requirements for the degree of doctor of philosophy university of florida august, acknowledgments the author wishes to thank all those who.

Results from both experiments and simulations on wave propagation in granular materials are presented in the current study. are two zones of damping, one with a high and one with a low damping.

6 Elastic Wave Propagation in Materials length of the rod producing an incremental change in the velocity D V each time of 2 Y = ρ c where Y is the Young ’ s modulus of the rod. a novel "complex wave number method'' in which the damping values were determined for different wave types over discrete, but regularly-spaced, frequency values.

These results were compared with conventional methods such as a modal analysis approach. Study of elastic wave propagation and damping in granular materials book The science of granular materials has a long Size: KB.

Purchase Elastic Wave Propagation, Volume 35 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Time harmonic elastic wave propagation in an infinite circular cylinder composed of perfectly bonded laminae with possibly distinct mechanical properties, as shown in Fig is considered here.A cylindrical coordinate system is adopted as defined in Section and shown in Figure The displacement components will be taken as u r, u θ, and u z or u, v, w.

Elastic wave propagation in conﬁned granular systems Ellák Somfai,1,* Jean-Noël Roux,2 Jacco H. Snoeijer,1,3 Martin van Hecke,4 and Wim van Saarloos1 1Instituut-Lorentz, Universiteit Leiden, P. BoxRA Leiden, The Netherlands 2Laboratoire des Matériaux et des Structures du Génie Civil, Institut Navier, 2 allée Kepler, Cité Descartes, This book aims to present an account of the theory of wave propagation in elastic solids.

The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on Cited by: Introduction to Elastic Wave Propagation [Bedford, A., Drumheller, D.

S.] on *FREE* shipping on qualifying offers. Introduction to Elastic Wave PropagationCited by: This simple fact constitutes a general basis for the interesting subject of “wave propagation”. Well-cited examples of wave propagation in different media include, for instance, the transmission of sound in air, the propagation of a seismic disturbance in the earth, the transmission of radio waves, among by: An investigation of the vibration damping capability of granular treatments is presented.

Cavities in aluminum and sandwich beams were filled with the lightweight particles made of polyimide. For analysis of vibration damping, the complex stiffness of structures before and after damping treatment was measured. Particles of different sizes, weights and polymer composition were used in the Cited by: The coherent wave propagates linearly in time, and its amplitude and width depend as a power law on distance, while its velocity is roughly compatible with the predictions of macroscopic elasticity.

As there is at present no theory for the broadening and decay of the coherent wave, we numerically and analytically study pulse-propagation in a. The goal of this project is to develop a theoretical and experimental understanding of sound propagation, elasticity and dissipation in granular materials.

The topic is relevant for the efficient production of hydrocarbon and for identifying and characterizing the underground formation for storage of either CO 2 or nuclear waste material. The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering.

This book aims to present Study of elastic wave propagation and damping in granular materials book account of. Wave propagation in elastic solids.

Elastic wave propagation in granular media PDF Reader; Thus, this is not a bo~>k for casual reading, but a book for study followed in a systematic manner.

Assess, ment of progress is helped by the provision of p~blems at the end of each chapter. The contradiction implicit in one question: A circular. A theoretical model for the propagation of acoustic waves in dry granular media is presented within the framework of the nonlinear granular elasticity.

An essential ingredient is the dependence of the elastic moduli on compression. For the purpose of illustration, we analyze the case of a time-harmonic plane wave propagation under isotropic by: 3.

Elastic Wave Propagation Dmitry Dzhurinskiy 2D FDTD scalar elastic wave equation in transversely isotropic homogeneous Numerical Simulation of Stress Wave Propagation through Steel. the complicated wave propagation and interaction in cracked solids. Keywords Numerical Study, Elastic Wave, Propagation Characteristics, Cracked Rock, Boundary Element Method 1.

Introduction In recent years, the problem of scattering of elastic waves by cracks or inclusions has gained importance espe-cially in seismology and geophysics. An elastic wave is a type of mechanical wave that propagates in elastic or viscoelastic materials. The elasticity of the material provides the restoring force of the wave.

When they occur in the Earth as the result of an earthquake or other disturbance, elastic waves are usually called seismic waves. Elastic wave propagation provides a noninvasive way to probe granular materials. The discrete element method using particle configuration as input, allows a micromechanical interpretation on the acoustic response of a given granular system.

This paper compares static and dynamic numerical probing methods, from which wave velocities are either deduced from elastic moduli or extracted from Author: Hongyang Cheng, Stefan Luding, Kuniyasu Saitoh, Vanessa Magnanimo.

Since wave propagation in granular materials is essentially the propagation of stress, these chains also are responsible for the propagation of pressure waves in a similar, heterogeneous manner.

These chains are inherently fragile and susceptible to reorganization. Thus, repeatability is often a concern for experiments in granular materials. Java Project Tutorial - Make Login and Register Form Step by Step Using NetBeans And MySQL Database - Duration: 1BestCsharp blog 5, views.

General Theory of Elastic Wave Scattering transverse waves. The polarisation of these waves is indicated by the arrows in Fig. Longitudinal waves propagate at a higher velocity than do the transverse waves.

The nomenclature “P wave” and “S waves” historically denotes the ﬁrst arriving (primary) and later arriving (secondary.

where c ij = c ji are the 21 independent constants for an elastic medium. The stress vector on the left is related to the strain vector on the right by the stiffness matrix {c ij}.Equation states that a stress component is a linear combination of all the strain relation is the foundation of the linear theory of elasticity and its physical basis is the assumption that elastic Author: Öz Yilmaz.

This analysis is concerned with wave propagation and damping in linear viscoelastic laminates. A spectral finite-element method is developed and used to calculate the dispersion properties of the first few wave types of a given laminate; the proposed approach provides a robust and numerically efficient alternative to the transfer matrix method in certain by: Wave propagation is the movement of a wave through a medium.

In longitudinal waves, this motion can run parallel to the direction of propagation. In transverse waves, this motion can occur at The resonant column method is established as a standard laboratory method for the study of the elastic properties of soils.

The study presents low-amplitude resonant column test results on volcanic sands with intra-particle voids. The experiments were performed on dry samples prepared at variable relative densities and tested in torsional mode of : Kostas Senetakis, Anastasios Anastasiadis.

The main topics treated in this volume are an introduction of the main features for the simple case of fluids, tensorial expressions for the elasticity and piezoelectricity of crystals, solutions of the general equation of propagation in the form of slowness surfaces, and a study of the various types of guided waves (Rayleigh wave, Love wave.

wave propagation and heat diffusion studies in polycrystalline medium omparison of simulation time for nterpolation method and Physics node assignment with increasing cell number.

Visualization for elastic wave propagation through grains for increasing number of cells at various time steps. Single Crystal. Aliénor Burel Elastic wave propagation in soft elastic material June, 26th 7 Ultrasonic waves amplitude decreases very fast in the air (doesn’t exist in the vacuum).

We need a gel which allows to keep the solid/solid contact. Thesis Motivations Part 2 Collages between materials are very often forgotten in the simulations. () Optimal absdrbing boundary condition in 2‐D finite difference elastic wave modeling.

Empirical study and comparison with exponential damping. SEG Cited by: F. Perez, Jr. and M. Al-Haik One can then write the following differential equation 22 uu E tx ρ ∂∂ = ∂∂ (2) Figure 3 Assumptions for longitudinal wave propagation (see online version for colours) This equation can be solved by considering a linear displacement time function u(t).

That leads to realise the fundamental relationship of the stress with particle velocity asFile Size: KB. The bar excites chains of 50 identical particles and dimer chains of two alternating materials.

After investigating how the speed of the initial stress wave varies with particle properties and loading amplitude, we provide an upper bound for the leading pulse velocity that can be used to design materials with tailored wave by: wave propagation in elastic solids Download wave propagation in elastic solids or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get wave propagation in elastic solids book now. This site is like a library, Use search. Summary. The current study dwells on the wave propagation in one-dimensional periodic granular dimer (diatomic) chain mounted on linear elastic foundation.

We invoke multiple time scales and partition the dynamics of the perturbed dimer chain into slow and fast components. MODELLING WAVE PROPAGATION IN GRANULAR MEDIA USING ELASTIC NETWORKS. The object of the present study is a generalization of Boardman's work (on a dynamic finite-element model for wave propagation studies) to include both normal and tangential contact loadings through the development of a new 1-D dynamic element.

Elastic wave, motion in a medium in which, when particles are displaced, a force proportional to the displacement acts on the particles to restore them to their original a material has the property of elasticity and the particles in a certain region are set in vibratory motion, an elastic wave will be example, a gas is an elastic medium (if it is compressed and the.

Paperback. Condition: New. 7th Revised ed. Language: English. Brand new Book. The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering.

This book aims to present an account of the theory of wave propagation in elastic solids. The present work is aimed to investigate the capability of the discrete element method (DEM) to model properly wave propagation in solid materials, with special focus on the determination of elastic properties through wave velocities.

Reference micro–macro relationships for elastic constitutive parameters have been based on the kinematic hypothesis as well as obtained numerically by Author: Jerzy Rojek, Nikhil Madan, Szymon Nosewicz.

Wave Propagation in Granular Material Elastic stress wave propagation in a 1D chain of beads has been extensively studied over the past two decades (Kevrekidis, ). Due to the nonlinear contact between beads, only a solitary wave will be generated in the bead chain.

A solitary wave generally takes five bead diameters to. elastic wave propagation consists of a permanent exchange between potential (displacement) and kinetic (velocity) energy.

This process is not completely reversible. There is energy loss due to shear heating at grain boundaries, mineral dislocations etc. • scattering attenuation whenever there are material changes the energy of a wavefield isFile Size: KB.

A mathematical model describing the dynamics of the borehole-fluid-tube system is presented. Coupling of the fluid-structure interaction and damping effects were taken into consideration.

An analytical solution for the displacement, stress, and pressure wave propagation in the fluid-tube system was : Ali Karrech, A. Seibi, T. Pervez. This study investigates the stresses produced in an embankment dam as a result of excitation due to elastic plane waves. A two dimensional finite element model is used to represent an embankment and its substructure.

The model uses a quadrilateral element, formed from triangles with a condensed internal node, which gives a better prediction of stress direction than a constant strain .