Instability Of Finite Amplitude Wave Propagation In Harmonically Heterogeneous Elastic Solids PDF Download

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Paper

Paper
Author:
Publisher:
Total Pages: 386
Release: 1991
Genre: Mechanical engineering
ISBN:

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On Wave Propagation in Elastic Solids with Cracks

On Wave Propagation in Elastic Solids with Cracks
Author: Ch Zhang
Publisher: Computational Mechanics
Total Pages: 280
Release: 1998
Genre: Science
ISBN:

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Begins with both a non-hypersingular time-domain traction boundary integral equation formulation for transient elastodynamic crack analysis and a time-stepping scheme for solving the boundary integral equations. The scheme is applied to analyze three-dimensional rectangular and penny-shaped cracks, and to investigate pulse shape effects on the dynamic stress intensity factor. The corresponding frequency-domain boundary integral equation is given, and time- harmonic wave propagation in randomly cracked solids is treated. The second half of the book deals with the elastodynamic analysis of a periodic array of cracks in plane strain and of anti-plane interface cracks between two different materials, and the effect of the material anistrophy on the near-tip quantities, the scattered far-field, and wave attenuation and dispersion. No index. Annotation copyrighted by Book News, Inc., Portland, OR


Winter Annual Meeting

Winter Annual Meeting
Author: American Society of Mechanical Engineers
Publisher:
Total Pages: 424
Release:
Genre: Mechanical engineering
ISBN:

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Adaptive Modeling of Wave Propagation in Heterogeneous Elastic Solids

Adaptive Modeling of Wave Propagation in Heterogeneous Elastic Solids
Author:
Publisher:
Total Pages: 83
Release: 2003
Genre:
ISBN:

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This document presents the results of a detailed research investigation on a fundamental problem in wave mechanics: the propagation of stress waves in heterogeneous elastic solids. this phenomenon is fundamental to many disciplines in engineering and mathematical physics: seismology, earthquake engineering structure acoustics, composite materials, and many other areas. The theory and methodologies of hierarchical modeling of heterogeneous materials are extended to elastodynamic cases to make possible the control of the modeling error in the local average stress. One-dimensional steady state and transient applications are given.


Fundamentals of Shock Wave Propagation in Solids

Fundamentals of Shock Wave Propagation in Solids
Author: Lee Davison
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2008-04-24
Genre: Science
ISBN: 3540745696

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My intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.


Material Instabilities in Elastic and Plastic Solids

Material Instabilities in Elastic and Plastic Solids
Author: Henryk Petryk
Publisher: Springer
Total Pages: 390
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709125626

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This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.


Stress Waves in Non-Elastic Solids

Stress Waves in Non-Elastic Solids
Author: W. K. Nowacki
Publisher: Elsevier
Total Pages: 259
Release: 2018-03-06
Genre: Science
ISBN: 1483153932

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Stress Waves in Non-Elastic Solids is a comprehensive presentation of the principles underlying the propagation of stress waves in non-elastic solids, with emphasis on wave problems in the theory of plasticity. This book exposes wave propagation problems for a range of material responses and justifies the hypotheses introduced in specialized theories and the simplifications made in the analysis of particular problems. Both analytical and numerical methods of solving problems are described, and a large number of solutions to specific problems of wave propagation in inelastic solids are given. This book is comprised of six chapters and begins with an overview of the fundamental equations of the dynamics of inelastic media. The dynamical properties of metals and soils are discussed, offering an account of the most representative theories of plasticity and viscoplasticity. The next chapter considers the basic definitions of discontinuity surfaces and the conditions that must to be satisfied across these surfaces. Certain mathematical fundamentals are given, referring to systems of differential equations, quasi-linear and semi-linear, of the first order. Initial and boundary value problems for hyperbolic equations are also formulated. The remaining chapters focus on methods of solving stress wave propagation problems, including one-dimensional plane waves and longitudinal-transverse waves. Wave propagation problems for elastic-plastic and elastic/viscoplastic media are treated in detail, along with the most important problem of shock waves in metals and soils. The last chapter deals with thermal wave propagation problems. This monograph will be a valuable resource for students and practitioners of engineering, physics, and mathematics.


Elastic Waves in Solids, Volume 1

Elastic Waves in Solids, Volume 1
Author: Daniel Royer
Publisher: John Wiley & Sons
Total Pages: 338
Release: 2022-04-19
Genre: Science
ISBN: 1786308142

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Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 1 presents the different modes of propagation of elastic waves in increasingly complex media and structures. It first studies the propagation in an unlimited solid where only the material properties are taken into account. It then analyzes reflection and transmission phenomena at an interface with a fluid or a second solid. It explains the search for propagation modes on a free surface or at the interface between two media. Finally, it proposes a study of the dispersive propagation of elastic waves guided by a plate or a cylinder. This book is intended for students completing a master’s degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.