The measurement of small changes in ultrasonic velocity and attenuation

References

• Strutt , J. W. 1945 . “ Lord Rayleigh ” . In Theory of Sound, , 2nd ed. , New York : Dover .
   Google Scholar
• Love , A. E. H. 1944 . A Treatise on the Mathematical Theory of Elasticity, , 4th ed. , New York : Dover .
   Google Scholar
• Hearmon , R. F. S. 1961 . An Introduction to Applied Anisotropic Elasticity , Oxford, , Eng. : Oxford University Press .
   Google Scholar
• Lindsay , R. B. 1960 . Mechanical Radiation , New York : McGraw-Hill .
   Google Scholar
• Landau , L. D. and Lifshitz , E. M. 1959 . Theory of Elasticity , London, and Addison-Wesley, Reading, Mass. : Pergamon Press .
   Google Scholar
• Berkhovskii , L. M. 1960 . Waves in Layered Media , New York : Academic Press .
   Google Scholar
• Viktorov , I. A. 1967 . Rayleigh and Lamb Waves , New York : Plenum Press .
   Google Scholar
• Morse , P. M. and Ingard , K. U. 1968 . Theoretical Acoustics , New York : McGraw-Hill .
   Google Scholar
• Bhatia , A. B. 1967 . Ultrasonic Absorption , Oxford, , Eng. : Clarendon Press .
   Google Scholar
• Herzfeld , K. F. and Litovitz , T. A. 1959 . Absorption and Dispersion of Ultrasonic Waves , New York : Academic Press .
   Google Scholar
• Mason , W. P. 1958 . Physical Acoustics and the Properties of Solids , Princeton, N.J. : D. Van Nostrand .
   Google Scholar
• Truell , R. , Elbaum , C. and Chick , B. B. 1969 . Ultrasonic Methods in Solid State Physics , New York : Academic Press .
   Google Scholar
• Beyer , R. T. and Letcher , S. V. 1969 . Physical Ultrasonics , New York : Academic Press .
   Google Scholar
• Mason , W. P. , ed. 1964 . Physical Acoustics: Principles and Methods Vol. I , Pt. A Vol. I Pt. B 1964; Vol. II Pt. A 1965; Vol. II Pt. B 1965; Vol. III Pt. A 1966; Vol. III Pt. B 1966; Vol. IV Pt. A 1966; Vol. IV Pt. B 1968;Vol. V 1968; Vol. VI 1970; Vol. VII 1970; Vol. VIII 1971; Vol. IX 1972 (Vol. Viet seq. with R. N. Thurston), Academic Press, New York.
   Google Scholar
• Sharpe , R. S. , ed. 1970 . Research Techniques in Nondestructive Testing , New York : Academic Press . Ch. 1–5
   Google Scholar
• Pohlman , R. , ed. 1967 . Documentation in Ultrasonics Vol. I , Vol. II 1969; Vol. III 1971, Laboratory for Ultrasonics, Rhine-Westfalia Technichc Hochschule, Aachen, Ger.
   Google Scholar
• Waterman , P. C. 1959 . Orientation dependence of elastic waves in single crystals . Phys. Rev. , 113 : 1240
   Web of Science ®Google Scholar
• Espinola , R. P. and Waterman , P. C. 1958 . Ultrasonic interferometer for the measurement of the temperature dependence of elastic constants . J. Appl. Phys. , 29 : 718
   Web of Science ®Google Scholar
• Waterman , P. C. and Teutonico , J. L. 1957 . Ultrasonic double refraction in single crystals . J. Appl. Phys. , 28 : 266
   Web of Science ®Google Scholar
• Truell , R. , Teutonico , L. J. and Levy , P. W. 1957 . Detection of directional neutron damage in silicon by means of ultrasonic double refraction measurements . Phys. Rev. , 105 : 1723
   Google Scholar
• Firestone , F. A. and Frederick , J. R. 1946 . Refinements in supersonic reflectoscopy: polarized sound . J. Acoust. Soc. Am. , 18 : 200
   Web of Science ®Google Scholar
• Stein , F. , Einspruch , N. G. and Truell , R. 1959 . Temperature dependence of fractional velocity changes in a silicon single crystal . J. Appl. Phys. , 30 : 820
   Web of Science ®Google Scholar
• Papadakis , E. P. 1964 . Ultrasonic study of simulated crystal symmetries in polycrystalline aggregates . IEEE Trans. SU , 11 : 19
   Google Scholar
• Sullivan , P. F. and Papadakis , E. P. 1961 . Ultrasonic double refraction in worked metals . J. Acoust. Soc. Am. , 33 : 1622
   Web of Science ®Google Scholar
• Cedrone , N. P. and Curran , D. R. 1954 . Electronic pulse method for measuring the velocity of sound in liquids and solids . J. Acoust. Soc. Am. , 26 : 963
   Web of Science ®Google Scholar
• Forgacs , R. L. 1960 . An improved sing-around system for ultrasonic velocity measurements . IRE Trans. Instrumentation I , 9 : 359
   Google Scholar
• Livingston , J. D. 1963 . Magnetic properties of superconducting lead-base alloys . Phys. Rev. , 129 : 1943
   Web of Science ®Google Scholar
• Alers , G. A. and Fleury , P. A. 1963 . Modification of the velocity of sound in metals by magnetic fields . Phys. Rev. , 129 : 2425
   Google Scholar
• Alfer , R. A. and Rubin , R. J. 1954 . Magnetic dispersion and attenuation of sound in conducting fluids and solids . J. Acoust. Soc. Am. , 26 : 452
   Web of Science ®Google Scholar
• Alers , G. A. and Swim , R. T. 1963 . Oscillations in the velocity of sound in gold at high magnetic fields . Phys. Rev. Lett. , 11 : 72
   Web of Science ®Google Scholar
• Alers , G. A. and Karbon , J. A. 1963 . Temperature dependence of the elastic moduli below 20°K . Bull. Am. Phys. Soc. , 8 : 195
   Google Scholar
• Alers , G. A. and Waldorf , D. L. 1962 . Linear temperature dependence of the elastic moduli around 4.2°K . Bull. Am. Phys. Soc. , 7 : 236
   Google Scholar
• Alers , G. A. and Thompson , D. O. 1961 . Dislocation contribution to the modulus and damping in copper at megacycle frequencies . J. Appl. Phys. , 32 : 283
   Web of Science ®Google Scholar
• Alers , G. A. and Zimmerman , J. E. 1964 . Dislocation mobility below 1°K in fee metals . Bull. Am. Phys. Soc. , 9 : 230
   Google Scholar
• McSkimin , H. J. 1961 . Pulse superposition method for measuring ultrasonic wave velocities in solids . J. Acoust. Soc. Am. , 33 : 12
   Web of Science ®Google Scholar
• McSkimin , H. J. and Andreatch , P. 1962 . Analysis of the pulse superposition method for measuring ultrasonic wave velocities as a function of temperature and pressure . J. Acoust. Soc. Am. , 34 : 609
   Web of Science ®Google Scholar
• Papadakis , E. P. 1966 . Ultrasonic diffraction loss and phase change in anisotropic materials . J. Acoust. Soc. Am. , 40 : 863
   Web of Science ®Google Scholar
• McSkimin , H. J. 1965 . Variations of the ultrasonic pulse-superposition method for increasing the sensitivity of delay-time measurements . J. Acoust. Soc. Am. , 37 : 864
   Web of Science ®Google Scholar
• McSkimin , H. J. and Andreatch , P. 1967 . Measurement of very small changes in the velocity of ultrasonic waves in solids . J. Acoust. Soc. Am. , 41 : 1052
   Web of Science ®Google Scholar
• Brugger , K. 1965 . Determination of third-order elastic coefficients in crystals . J. Appl. Phys. , 36 : 767
   Web of Science ®Google Scholar
• May , J. E. Jr. 1958 . Precise measurement of time delay . IRE Natl. Conv. Rec. , 6 : 134 Pt. 2
   Google Scholar
• Papadakis , E. P. 1964 . Ultrasonic attenuation and velocity in three transformation products in steel . J. Appl. Phys. , 35 : 1474
   Web of Science ®Google Scholar
• Papadakis , E. P. 1967 . Ultrasonic phase velocity by the pulse-echo-overlap method incorporating diffraction phase corrections . J. Acoust. Soc. Am. , 42 : 1045
   Web of Science ®Google Scholar
• Papadakis , E. P. 1972 . Absolute accuracy of the pulse-echo-overlap method and the pulse-superposition method for ultrasonic velocity . J. Acoust. Soc. Am. , 52 : 843
   Web of Science ®Google Scholar
• Papadakis , E. P. 1969 . Effect of multimode guided-wave propagation on ultrasonic phase velocity measurements: problem and remedy . J. Acoust. Soc. Am. , 45 : 1547
   Google Scholar
• Young , E. H. Jr. and Meeker , T. R. Private communication.
   Google Scholar
• Ultrasonic Time Intervalometer System 5054 , Waltham, Mass : Panametrics®, Inc. .
   Google Scholar
• Papadakis , E. P. 1969 . Variability of ultrasonic shear wave velocity in vitreous silica for delay lines . IEEE Trans. SU , 16 : 210
   Google Scholar
• Papadakis , E. P. 1970 . Ultrasonic attenuation and velocity in SAE 52100 steel quenched from various temperatures . Met. Trans. , 1 : 1053
   Web of Science ®Google Scholar
• Blinick , J. S. and Maris , H. J. 1970 . Velocities of first and zero sound in quartz . Phys. Rev. , 2 : 2139
   Google Scholar
• Chung , D. H. 1972 . “ Laboratory studies on seismic and electrical properties of the moon ” . In The Moon , Edited by: Alfven , H. , Kotal , Z. and Urey , H. C. 99 Dordrecht, , Holland : Reidel .
   Google Scholar
• McSkimin , H. J. 1950 . Ultrasonic measurement techniques applicable to small solid specimens . J. Acoust. Soc. Am. , 22 : 413
   Web of Science ®Google Scholar
• McSkimin , H. J. and Bond , W. L. 1957 . Elastic moduli of diamond . Phys. Rev. , 105 : 116
   Web of Science ®Google Scholar
• McSkimin , H. J. 1953 . Measurement of elastic constants at low temperatures by means of ultrasonic waves – data for silicon and germanium single crystals, and for fused silica . J. Appl. Phys. , 24 : 988
   Web of Science ®Google Scholar
• McSkimin , H. J. 1959 . Measurement of ultrasonic wave velocities and elastic moduli for small solid specimens at high temperatures . J. Acoust. Soc. Am. , 31 : 287
   Web of Science ®Google Scholar
• Papadakis , E. P. 1968 . Ultrasonic attenuation in thin specimens driven through buffer rods . J. Acoust. Soc. Am. , 44 : 724
   Google Scholar
• Papadakis , E. P. 1966 . Elastic wave velocities in cube-textured copper sheet . Trans. Met. Soc. AIME , 236 : 1609
   Google Scholar
• Papadakis , E. P. 1971 . Elastic wave velocities in various alloy strips . Met. Trans. , 2 : 575
   Web of Science ®Google Scholar
• Williams , J. and Lamb , J. 1958 . On the measurement of ultrasonic velocity in solids . J. Acoust. Soc. Am. , 30 : 308
   Web of Science ®Google Scholar
• Williamson , R. C. 1969 . Echo phase-comparison technique and measurement of sound velocity in water . J. Acoust. Soc. Am. , 45 : 1251
   Web of Science ®Google Scholar
• Williamson , R. C. 1969 . Measurement of the velocity and attenuation of ultrasonic pulses in the presence of noise . Rev. Sci Instrum. , 40 : 666
   Web of Science ®Google Scholar
• Young , E. H. Jr. 1962 . Discussion of time delay in reference to electrical waves . IRE Trans. UE , 9 : 13
   Google Scholar
• Lindsay , R. B. 1960 . Mechanical Radiation , 109 – 112 . New York : McGraw-Hill .
   Google Scholar
• Meeker , T. R. and Meitzler , A. H. 1964 . “ Guided wave propagation in elongated cylinders and plates ” . In Physical Acoustics: Principles and Methods , Edited by: Mason , W. P. Vol. I , 111 – 167 . New York : Academic Press . Pt. A
   Google Scholar
• Eveleth , J. H. 1965 . A survey of ultrasonic delay lines operating below 100 Mc/s . Proc. IEEE , 53 : 1406
   Google Scholar
• Duncan , R. S. and Parker , M. R. 1965 . The perpendicular diffraction delay line: a new kind of ultrasonic dispersive device . Proc. IEEE , 53 : 413
   Web of Science ®Google Scholar
• Lynnworth , L. C. , Papadakis , E. P. and Rea , W. January 1973 . Ultrasonic measurement of phase and group velocity using continuous wave transmission techniques , January , Watertown, Mass. : AMMRC . Final report, Contract DAAG46–72-C-0186
   Google Scholar
• Hildebrand , F. B. 1956 . Introduction to Numerical Analysis , 82 New York : McGraw-Hill .
   Google Scholar
• Hildebrand , F. B. 1956 . Introduction to Numerical Analysis , 258 – 269 . New York : McGraw-Hill .
   Google Scholar
• Matsinger , J. H. 1972 . An automated group delay measurement . Rev. Sci Instrum. , 43 : 1568
   Web of Science ®Google Scholar
• Blume , R. J. 1963 . Instrument for continuous high resolution measurements of changes in the velocity of ultrasound . Rev. Sci Instrum. , 34 : 1400
   Web of Science ®Google Scholar
• Edgerton , R. F. 1970 . Simple measurement technique for small relative velocity changes of gigahertz acoustic waves . J. Acoust. Soc. Am. , 47 : 1229
   Web of Science ®Google Scholar
• Dooley , J. W. 1970 . Measurement of small changes in sound velocity in the UHF range . J. Acoust. Soc. Am. , 47 : 1232
   Web of Science ®Google Scholar
• Lacy , L. L. and Daniel , A. C. 1972 . Measurements of ultrasonic velocities using a digital averaging technique . J. Acoust. Soc. Am. , 52 : 189
   Web of Science ®Google Scholar
• Waltham, Mass : Panametrics, Inc. . Panatherm® 5010
   Google Scholar
• Ultrasonic Gage Model 5221® , Waltham, Mass : Panametrics, Inc. .
   Google Scholar
• Roderick , R. L. and Truell , R. 1952 . The measurement of ultrasonic attenuation in solids by the pulse technique and some results in steel . J. Appl. Phys. , 23 : 267
   Web of Science ®Google Scholar
• Hybridge , Winchester, Mass : Alford Mfg. Co. .
   Google Scholar
• Chick , B. B. , Anderson , G. and Truell , R. 1960 . Ultrasonic attenuation unit and its use in measuring attenuation in alkali halides . J. Acoust. Soc. Am. , 32 : 186
   Web of Science ®Google Scholar
• Automatic Attenuation Recorder Model 2470 , Providence, R.I. : Matec®, Inc. .
   Google Scholar
• Papadakis , E. P. 1968 . Buffer-rod system for ultrasonic attenuation measurements . J. Acoust. Soc. Am. , 44 : 1437
   Web of Science ®Google Scholar
• Papadakis , E. P. 1971 . Traveling wave reflection methods for measuring ultrasonic attenuation and velocity in thin rods and wires . J. Appl. Phys. , 42 : 2990
   Web of Science ®Google Scholar
• Papadakis , E. P. , Lynnworth , L. C. , Fowler , K. A. and Carnevale , E. H. 1972 . Ultrasonic attenuation and velocity in hot specimens by the momentary contact method with pressure coupling, and some results on steel to 1200°C . J. Acoust. Soc. Am. , 52 : 850
   Web of Science ®Google Scholar
• Lynnworth , L. C. 1973 . “ Attenuation and reflection coefficient nomogram ” . In Ultrasonics 11 to be published
   Google Scholar
• Papadakis , E. P. , Fowler , K. A. and Lynnworth , L. C. 1973 . Ultrasonic attenuation by spectrum analysis of pulses in buffer rods: method and diffraction corrections . J. Acoust. Soc. Am. , 53 : 1 336
   Web of Science ®Google Scholar
• Papadakis , E. P. , Fowler , K. A. and Lynnworth , L. C. 1972 . New uses of ultrasonic spectrum anal , Proc. 1972 IEEE Ultrasonics Symposium 81 New York : IEEE . Cat. No. 72 CHO 708–8 SU
   Google Scholar
• Gericke , O. R. 1965 . Ultrasonic spectroscopy of steel . Mater. Res. Stand. , 5 : 23
   Google Scholar
• Model 5070 VIP® Transducers , Waltham, Mass : Panametrics, Inc. .
   Google Scholar
• Papadakis , E. P. 1965 . Ultrasonic attenuation caused by scattering in polycrystalline metals . J. Acoust. Soc. Am. , 37 : 711
   Web of Science ®Google Scholar
• Strutt , J. W. 1945 . “ Lord Rayleigh ” . In Theory of Sound, , 2nd ed. , Vol. 2 , 105 New York : Dover .
   Google Scholar
• Seki , H. , Granato , A. and Truell , R. 1956 . Diffraction effects in the ultrasonic field of a piston source and their importance in the accurate measurement of attenuation . J. Acoust. Soc. Am. , 28 : 230
   Web of Science ®Google Scholar
• Papadakis , E. P. 1959 . Correction for diffraction loss in the ultrasonic field of a piston source . J. Acoust. Soc. Am. , 31 : 150
   Web of Science ®Google Scholar
• Herriott , D. R. , Jones , J. S. , Meeker , T. R. and Reznicek , K. U.S. Patent No. 3,453,166 . July 1, 1969 .
   Google Scholar
• Papadakis , E. P. 1971 . Nonuniform pressure device for bonding thin slabs to substrates . J. Adhesion , 3 : 181
   Web of Science ®Google Scholar
• Papadakis , E. P. 1971 . Effects of input amplitude profile upon diffraction loss and phase change in a pulse-echo system . J. Acoust. Soc. Am. , 49 : 166
   Web of Science ®Google Scholar