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Author: D. T. Liu Publisher: ISBN: Category : Languages : en Pages : 75
Book Description
This report is concerned mainly with plane-wave propagation of large amplitude stresses in a medium where motion transverse to the direction of wave propagation is presented. Both the partial differential equations governing the stress-wave propagation and the jump conditions across a shock discontinuity are developed using the basic principles of the conservation of mass, momentum, and energy. The criterion for a stable shock front is discussed, and the wave structure arising, when the criterion is no longer satisfied, is described, The constitutive law is discussed in some detail with particular emphasis on the elastic-plastic behavior of ductile solids. The finite difference method is developed for solving onedimensional shock wave propagation problems with initial and boundary conditions prescribed in terms of pressure or velocity; i.e., arbitrary pressure pulse input, free surface, or an interface between two different media. The operational FORTRAN computer program is described in some detail. Capabilities include predicting the shock wave response, possible bond separation, and spallation failure in a multilayered medium composed of up to four different materials. Sample calculations which serve to illustrate the difference between the hydrodynamic and elastic-plastic behavior of solids under shock compression are also included. (Author).
Author: D. T. Liu Publisher: ISBN: Category : Languages : en Pages : 75
Book Description
This report is concerned mainly with plane-wave propagation of large amplitude stresses in a medium where motion transverse to the direction of wave propagation is presented. Both the partial differential equations governing the stress-wave propagation and the jump conditions across a shock discontinuity are developed using the basic principles of the conservation of mass, momentum, and energy. The criterion for a stable shock front is discussed, and the wave structure arising, when the criterion is no longer satisfied, is described, The constitutive law is discussed in some detail with particular emphasis on the elastic-plastic behavior of ductile solids. The finite difference method is developed for solving onedimensional shock wave propagation problems with initial and boundary conditions prescribed in terms of pressure or velocity; i.e., arbitrary pressure pulse input, free surface, or an interface between two different media. The operational FORTRAN computer program is described in some detail. Capabilities include predicting the shock wave response, possible bond separation, and spallation failure in a multilayered medium composed of up to four different materials. Sample calculations which serve to illustrate the difference between the hydrodynamic and elastic-plastic behavior of solids under shock compression are also included. (Author).
Author: W. K. Nowacki Publisher: Elsevier ISBN: 1483153932 Category : Science Languages : en Pages : 259
Book Description
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.
Author: Jan Achenbach Publisher: Elsevier ISBN: 0080934714 Category : Science Languages : en Pages : 440
Book Description
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 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 typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
Author: R. J. Clifton Publisher: ISBN: Category : Languages : en Pages : 32
Book Description
The one-dimensional rate independent theory of elastic-plastic wave propagation for smooth stress-strain curves concave toward the strain axis is applied to the problem of a long uniform bar loaded at one end by a pressure pulse of short duration. The essential features of the solution are obtained for the case of a semiinfinite bar and for the case of a finite bar whose other end is stress free by using the method of characteristics in the t-x plane. The general shape of boundaries in the t-x plane which separate regions governed by the dynamic elastic equations from regions governed by the dynamic plastic equations is presented. The nature of the discontinuities that occur at these boundaries are also discussed. For the finite bar case the analysis is given for materials which exhibit isotropic work hardening and for materials for which the stress-strain behavior in tension is independent of any previous compression. The main features of the solution are in agreement with the behavior observed for annealed, commercially pure aluminum bars subjected to explosive loading at one end. (Author).
Author: F. McCarthy Publisher: Elsevier ISBN: 1483290662 Category : Technology & Engineering Languages : en Pages : 663
Book Description
This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.
Author: T. C. T. Ting Publisher: ISBN: Category : Languages : en Pages : 23
Book Description
In one dimensional wave propagation such as longitudinal waves in a rod, an elastic-plastic boundary may start at the end x = 0 of the rod depending on the stresses prescribed at x = 0. The initial slope of the elastic-plastic boundary at x = 0 can be determined easily if the time derivative sigma sub t of the stress sigma on both sides of the elastic-plastic boundary are not zero. In this paper, the initial slope of the elastic-plastic boundary (or boundaries) is determined analytically when sigma sub t at x = 0 is continuous and vanishes at time t = t sub 0 while the second derivative sigma sub tt at t sub 0 may or may not be continuous. It is seen that an elastic region can be generated near the end of the rod even though the stress state at the end is continuously plastic. (Author).
Author: J. D. Achenbach Publisher: North-Holland ISBN: Category : Elastic solids Languages : en Pages : 448
Book Description
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 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 typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
Author: J. D. Achenbach Publisher: Elsevier ISBN: 1483163733 Category : Science Languages : en Pages : 440
Book Description
Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Author: D. T. Liu
Author: D. T. Liu
Author: Thomas Chi-tsai Ting
Author: R. J. Clifton
Author: W. K. Nowacki
Author: Jan Achenbach
Author: R. J. Clifton
Author: F. McCarthy
Author: T. C. T. Ting
Author: J. D. Achenbach
Author: J. D. Achenbach