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Author: K. C. Valanis Publisher: ISBN: Category : Elastic rods and wires Languages : en Pages : 18
Book Description
A general solution is given to the problem of large amplitude wave propagation in a semi-infinite elastic thin rod. The solution is obtained by the method of characteristics. An explicit form of the solution is given in the case where an end velocity, which is a step function of time, is prescribed. More general types of end velocity can be accommodated provided that the variation with time is monotonically increasing; otherwise shocks will form and the present solution is no longer valid.
Author: K. C. Valanis Publisher: ISBN: Category : Elastic rods and wires Languages : en Pages : 18
Book Description
A general solution is given to the problem of large amplitude wave propagation in a semi-infinite elastic thin rod. The solution is obtained by the method of characteristics. An explicit form of the solution is given in the case where an end velocity, which is a step function of time, is prescribed. More general types of end velocity can be accommodated provided that the variation with time is monotonically increasing; otherwise shocks will form and the present solution is no longer valid.
Author: A. Cemal Eringen Publisher: Academic Press ISBN: 1483276678 Category : Science Languages : en Pages : 635
Book Description
Continuum Physics, Volume II: Continuum Mechanics of Single-Substance Bodies discusses the continuum mechanics of bodies constituted by a single substance, providing a thorough and precise presentation of exact theories that have evolved during the past years. This book consists of three parts—basic principles, constitutive equations for simple materials, and methods of solution. Part I of this publication is devoted to a discussion of basic principles irrespective of material geometry and constitution that are valid for all kinds of substances, including composites. The geometrical notions, kinematics, balance laws, and thermodynamics of continua are also deliberated. Part II focuses on materials consisting of a single substance, followed by a general theory of constitutive equations and special types of bodies. The thermoelastic solids, thermoviscous fluids, and memory-dependent materials are likewise considered. Part III is devoted to a discussion of a variety of nonlinear and linear problems, as well as nonlinear deformations of elastic solids, viscometric fluids, singular surfaces and waves, and complex function technique. This volume is a good source for researchers and students conducting work on the continuum mechanics of single-substance bodies.
Author: A.C. Eringen Publisher: Рипол Классик ISBN: 588501308X Category : Science Languages : en Pages : 359
Book Description
From the inception of the theory of elasticity with Navier A821) and Cauchy A828), the dynamical problems of elasticity and the subject of wave propagations in elastic solids have been under intense study by a large number of workers. In fact the literature is so extensive that any desire to write accounts on the subject immediately induces discouragement on the part of a prospective author. For it is impossible to do justice to all aspects of this wide field in any one- or two-volume treatise. Perhaps, partially, it is this concern that kept this important field barren of books for nearly two centuries.
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: 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: Hamid R. Hamidzadeh Publisher: Springer Science & Business ISBN: 1461492696 Category : Technology & Engineering Languages : en Pages : 321
Book Description
This book covers advanced topics in dynamic modeling of soil-foundation interaction, as well as the response of elastic semi-infinite media from an applications viewpoint. Advanced concepts such as solutions for analysis of elastic semi-infinite mediums, fluid motion in porous media, and nonlinearities in dynamic behavior are explained in great detail. Related theories and numerical analysis for vertical vibration, and rocking vibration of a rigid rectangular mass-less plate, and horizontal vibration of a rigid mass-less plate are presented. Throughout the book, a strong emphasis is placed on applications, and a laboratory model for elastic half-space medium is provided.
Author: K. C. Valanis
Author: K. C. Valanis
Author: K. C. Valanis
Author: A. Cemal Eringen
Author: 
Author: A.C. Eringen
Author: Jan Achenbach
Author: 
Author: Iowa State University. Engineering Research Institute
Author: J. D. Achenbach
Author: Hamid R. Hamidzadeh