Elastic Wave Propagation

When a localized disturbance is applied suddenly into a medium, it will propagate to other parts of this medium. The local excitation is not detected at other positions of the medium instantaneously, as some time would be necessary for the disturbance to propagate from its source to other parts of the medium. 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 others. In the particular case, when the suddenly applied disturbance is mechanical, e.g., an impact force, the resulting waves in the medium are due to mechanical stress effects and, thus, these waves are referred to as “mechanical stress waves”, or simply “stress waves”. Our attention in this text is restricted to the study of the propagation of stress waves in engineering materials.

[1]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[2]  P. B. Bailey,et al.  On the local and global behavior of acceleration waves , 1971 .

[3]  On spherical near fields and far fields in elastic and visco-elastic solids , 1964 .

[4]  Stress pulse in bar with neck or swell , 1954 .

[5]  L. M. Barker,et al.  Interferometer Technique for Measuring the Dynamic Mechanical Properties of Materials , 1965 .

[6]  L. E. Malvern.  Introduction to the mechanics of a continuous medium , 1969 .

[7]  G. Hudson.  Dispersion of Elastic Waves in Solid Circular Cylinders , 1942 .

[8]  Jack Oliver,et al.  Model Study of Air‐Coupled Surface Waves , 1955 .

[9]  W. Goldsmith,et al.  Dynamic behavior of concrete , 1966 .

[10]  J. W. Dally,et al.  A photoelastic analysis of stress wave propagation in a layered model , 1966 .

[11]  James F. Doyle,et al.  Wave Propagation in Structures , 1989 .

[12]  A. J. Cable,et al.  High-velocity impact phenomena , 1970 .

[13]  J. W. Dally,et al.  Initial Studies in Three-Dimensional Dynamic Photoelasticity , 1967 .

[14]  E. Volterra.  A one-dimensional theory of wave-propagation in elastic rods based on the „method of internal constraints“ , 1955 .

[15]  L. M. Barker,et al.  System for Measuring the Dynamic Properties of Materials , 1964 .

[16]  H. Lamb.  On waves in an elastic plate , 1917 .

[17]  R. Davies.  A critical study of the Hopkinson pressure bar , 1948, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[18]  J. Dally,et al.  Subsurface characteristics of the Rayleigh wave , 1969 .

[19]  C. Karnes.  The Plate Impact Configuration for Determining Mechanical Properties of Materials at High Strain Rates , 1968 .

[20]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[21]  H. Kolsky,et al.  The propagation of spherically divergent stress pulses in linear viscoelastic solids , 1965 .

[22]  W. A. Green.  The growth of plane discontinuities propagating into a homogeneously deformed elastic material , 1964 .

[23]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[24]  Herbert Kolsky,et al.  Stress waves in anelastic solids , 1963 .

[25]  L. E. Malvern.  Plastic wave propagation in a bar of material exhibiting a strain rate effect , 1951 .

[26]  H. Langhaar.  Energy Methods in Applied Mechanics , 1962 .

[27]  R. Rubin.  Propagation of Longitudinal Deformation Waves in a Prestressed Rod of Material Exhibiting a Strain‐Rate Effect , 1954 .

[28]  M. Polanyi,et al.  Über eine Art Gitterstörung, die einen Kristall plastisch machen könnte , 1934 .

[29]  W. F. Riley,et al.  Experimental stress analysis , 1978 .

[30]  D. Silverman,et al.  A THREE‐DIMENSIONAL SEISMIC WAVE MODEL WITH BOTH ELECTRICAL AND VISUAL OBSERVATION OF WAVES , 1954 .

[31]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[32]  H. Kolsky.  An Investigation of the Mechanical Properties of Materials at very High Rates of Loading , 1949 .

[33]  R. Hill.  Acceleration waves in solids , 1962 .

[34]  I. A. Viktorov.  Rayleigh and Lamb Waves , 1967 .

[35]  James W. Dally,et al.  Observations of stress wave propagation in a half-plane with boundary loading , 1967 .

[36]  C. Harris,et al.  Shock and Vibration Handbook, Vols. I, II, and III , 1962 .

[37]  C. Zener.  Elasticity and anelasticity of metals , 1948 .

[38]  S. L. Belousov.  TABLES OF FUNCTIONS , 1962 .

[39]  J. Dally,et al.  Some characteristics of Rayleigh wave interaction with surface flaws , 1971 .

[40]  Julian L. Davis.  Wave propagation in solids and fluids , 1989 .

[41]  Experimental techniques in shock and vibration , 1962 .

[42]  Edward B. Magrab.  The measurement of time-varying phenomena , 1971 .

[43]  G. Whitham,et al.  Linear and Nonlinear Waves , 1976 .

[44]  L. Rayleigh,et al.  The theory of sound , 1894 .

[45]  David N. Keast.  Measurements in mechanical dynamics , 1967 .

[46]  C. Chree.  The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Co-ordinates their Solution and Application , 1889 .

[47]  M. A. Tuve,et al.  Note on the nature of a seismogram: II , 1954 .

[48]  U. S. Lindholm.  Some experiments with the split hopkinson pressure bar , 1964 .

[49]  I. Rudnick,et al.  Attenuation and Dispersion of Elastic Waves in a Cylindrical Bar , 1961 .

[50]  R. Dove,et al.  Measurement of internal strains in a bar subjected to longitudinal impact , 1962 .

[51]  Jan Drewes Achenbach,et al.  Modern Problems in Elastic Wave Propagation , 1979 .

[52]  F. S. Lamb,et al.  On the Propagation of Tremors over the Surface of an Elastic Solid , 1904 .

[53]  Edward B. Magrab,et al.  The measurement of time-varying phenomena : fundamentals and applications , 1971 .

[54]  C. Truesdell,et al.  The Classical Field Theories , 1960 .

[55]  U. S. Lindholm,et al.  Mechanical behavior of materials under dynamic loads , 1968 .

[56]  A. Jeffrey,et al.  Nonlinear wave propagation , 1978 .

[57]  H. Kolsky.  LXXVIII. The propagation of longitudinal elastic waves along cylindrical bars , 1954 .

[58]  R. Stoneley,et al.  Elastic waves at the surface of separation of two solids , 1924 .

[59]  Propagation of Disturbances from Randomly Moving Sources , 1972 .

[60]  M. Medick,et al.  On Classical Plate Theory and Wave Propagation , 1961 .

[61]  R. Cornish,et al.  A stress-wave technique for determining the tensile strength of brittle materials , 1965 .

[62]  T. Thomas.  The Growth and Decay of Sonic Discontinuities in Ideal Gases , 1957 .

[63]  H. Kolsky,et al.  AN EXPERIMENTAL STUDY OF PULSE PROPAGATION IN ELASTIC CYLINDERS , 1958 .

[64]  J. L. Snoek.  Effect of small quantities of carbon and nitrogen on the elastic and plastic properties of iron , 1941 .

[65]  W. M. Ewing,et al.  Elastic Waves in Layered Media , 2015 .

[66]  Richard Bellman,et al.  Plastic Flow and Fracture in Solids , 1962 .

[67]  L. Rayleigh.  On Waves Propagated along the Plane Surface of an Elastic Solid , 1885 .

[68]  W. P. Mason,et al.  Attenuation and Scattering of High Frequency Sound Waves in Metals and Glasses , 1947 .

[69]  Jerzy T. Pindera,et al.  New Research Perspectives Opened by Isodyne and Strain Gradient Photoelasticity , 1986 .

[70]  K. Graff.  Wave Motion in Elastic Solids , 1975 .

[71]  I. A. Viktorov.  Rayleigh and Lamb Waves: Physical Theory and Applications , 1967 .

[72]  J. Dally,et al.  A photoelastic analysis of propagation of Rayleigh waves past a step change in elevation , 1968 .

[73]  W. F. Riley,et al.  PHOTOELASTIC STUDY OF STRESS WAVE PROPAGATION IN LARGE PLATES , 1958 .

[74]  J. Dunwoody.  Longitudinal wave propagation in a rate dependent material , 1966 .