The Physical Fundamentals of the Ultrasonic Nondestructive Stress Analysis of Solids

Theoretical and experimental works on acoustoelasticity are briefly generalized. Studies conducted and scientific results obtained at the S. P. Timoshenko Institute of Mechanics and E. O. Paton Institute of Electric Welding of the National Academy of Sciences of Ukraine are highlighted. Special features of these works and their difference from those of other authors are pointed out. The basic principles and laws governing the propagation of longitudinal, shear, and surface waves in bi- and triaxially stressed bodies are briefly stated with regard for the orthotropy and nonlinear properties of the material. The experimentally proven principles and laws for elastic waves propagating in initially stressed bodies are formulated. The physical fundamentals of the ultrasonic nondestructive technique for determining bi- and triaxial stresses in solids are described. The determination of bi- and triaxial residual stresses in specimens and structural members is demonstrated by examples. The basic principles of the related (dielectric and electromagnetic) methods for stress analysis of polymeric materials are stated. The application of the electromagnetic method to the stress analysis of some polymeric materials is considered

[1]  Robert E. Green,et al.  Ultrasonic investigation of mechanical properties , 1973 .

[2]  Clifford Ambrose Truesdell,et al.  General and exact theory of waves in finite elastic strain , 1961 .

[3]  A. Tverdokhlebov On the acoustoelastic effect , 1983 .

[4]  R. Toupin,et al.  Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect , 1961 .

[5]  A. N. Guz Surface waves in bodies with initial stresses and an ultrasonic nondestructive method for determining stresses in near-surface layers of solids , 1998 .

[6]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[7]  A. N. Guz On Deformational Anisotropy , 1982 .

[8]  K. Brugger,et al.  Thermodynamic Definition of Higher Order Elastic Coefficients , 1964 .

[9]  R. Tripathi,et al.  Third‐Order Elastic Constants of Ge at Room and Liquid‐Nitrogen Temperatures , 1970 .

[10]  C. O. Ruud,et al.  A review of selected non-destructive methods for residual stress measurement , 1982 .

[11]  D. Kishoni,et al.  Experimental technique for measurement of stress-acoustic coefficients of Rayleigh waves , 1983 .

[12]  R. A. Shahbender,et al.  Effect of Statically Applied Stresses on the Velocity of Propagation of Ultrasonic Waves , 1958 .

[13]  V. V. Zozulya,et al.  Influence of contact interaction between the sides of crack on characteristics of failure mechanics in action ofP- andSV-waves , 1999 .

[14]  F. G. Makhort,et al.  Use of rayleigh waves for investigating nonlinear elastic properties of surface layers of structural materials , 1992 .

[15]  D. S. Hughes,et al.  Second-Order Elastic Deformation of Solids , 1953 .

[16]  R. M. BUTTERFIELD Prediction of Muscle Content of Steer Carcasses , 1962, Nature.

[17]  E. H. Bogardus Third‐Order Elastic Constants of Ge, MgO, and Fused SiO2 , 1965 .

[18]  R. S. Rivlin,et al.  Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation , 1961 .

[19]  R. N. Thurston,et al.  Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media , 1964 .

[20]  Albert Edward Green,et al.  Thermoelastic stresses in initially stressed bodies , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[21]  Masakatsu Saito,et al.  Elastic Wave Propagations and Acoustical Birefringence in Stressed Crystals , 1969 .

[22]  G. Thomas Mase Rayleigh wave speeds in transversely isotropic materials , 1987 .

[23]  Michael Hayes,et al.  A REMARK ON HADAMARD MATERIALS , 1968 .

[24]  Ya. Ya. Rushchitskii On the classification of elastic waves , 1999 .

[25]  D. I. CRECRAFT Ultrasonic Wave Velocities in Stressed Nickel Steel , 1962, Nature.

[26]  H. Toda,et al.  Acoustoelastic stress analysis of residual stress in a patch-welded disk , 1978 .

[27]  J. N. Flavin,et al.  Plane thermo-elastic waves in an initially stressed medium , 1961 .

[28]  Ray W. Ogden,et al.  Waves in isotropic elastic materials of Hadamard, Green, or harmonic type , 1970 .

[29]  D. S. Hughes An experimental study of the acousto-elastic effect in a rolled plate of steel , 1953 .

[30]  T. B. Bateman,et al.  Third‐Order Elastic Moduli of Germanium , 1961 .

[31]  F. G. Makhort,et al.  Nonlinear properties of solids and certain features of the propagation of Rayleigh waves in bodies with initial stresses , 1995 .

[32]  Tokuoka Tatsuo,et al.  Acoustical birefringence of ultrasonic waves in deformed isotropic elastic materials , 1968 .

[33]  R. S. Rivlin,et al.  Surface waves in deformed elastic materials , 1961 .

[34]  A. Green,et al.  A note on wave propagation in initially deformed bodies , 1963 .

[35]  A. H. Meitzler,et al.  Acoustoelastic Effect in Vitreous Silica, Pyrex, and T‐40 Glass , 1969 .

[36]  Nelson N. Hsu,et al.  Acoustical birefringence and the use of ultrasonic waves for experimental stress analysis , 1974 .

[37]  D. I. Crecraft,et al.  The measurement of applied and residual stresses in metals using ultrasonic waves , 1967 .

[38]  Julian R. Frederick Use of Ultrasonic Surface Waves in the Determination of Residual Stress in Metals , 1960 .

[39]  I. N. Sneddon,et al.  Finite Deformation of an Elastic Solid , 1954 .

[40]  A. N. Guz',et al.  Elastic waves in bodies with initial stresses , 1979 .

[41]  V. T. Golovchan Elastic moduli of a tungsten monocarbide crystal , 1998 .

[42]  Alfred Seeger,et al.  Die experimentelle Ermittlung der elastischen Konstanten höherer Ordnung , 1960 .

[43]  Gordon S. Kino,et al.  Measurement of stress with surface waves , 1985 .

[44]  R. T. Smith,et al.  Third-Order Elastic Moduli of Polycrystalline Metals from Ultrasonic Velocity Measurements , 1966 .

[45]  Gordon S. Kino,et al.  Acoustoelastic imaging of stress fields , 1979 .

[46]  Michael Hayes,et al.  Wave propagation and uniqueness in prestressed elastic solids , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[47]  Francis D. Murnaghan,et al.  Finite Deformation of an Elastic Solid , 1967 .

[48]  G. C. Johnson,et al.  An Acoustoelastic Theory for Surface Waves in Anisotropic Media , 1987 .

[49]  Gordon S. Kino,et al.  Measurement of Surface Stresses Using Rayleigh Waves , 1982 .

[50]  F. G. Makhort,et al.  Theory of acoustoelasticity of rayleigh surface waves , 1990 .