Abstract
Ultrasonic measurements of wave-propagation characteristics in composite and heterogeneous materials provide an excellent means to study their mechanical properties. In recent years we have studied, both theoretically and experimentally, characteristics of elastic-wave propagation in particlereinforced composites and heterogeneous materials as well as in homogeneous and laminated fiber-reinforced composites. Comparison of theoretical predictions with obervations of wave velocities has shown good agreement and has provided a way to evaluate microstructural dependence of mechanical properties of these materials. Modeling predictions coupled with observations can also be used to obtain mechanical properties of the reinforcing phase, which are sometimes not easily obtained. In this paper we present results of some of these recent studies.
We also present results of our study of changes in phase velocities and attenuation caused by interface layers between the reinforcing phase and the matrix. We show that this third phase measurably modifies the dispersion behavior. This should lead to effective characterization of interface layer properties by ultrasonic methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. K. Bose and A. K. Mal, Elastic Waves in a Fiber-Reinforced Composite, J Mech and Phys of Solids 22:217 (1974).
A. K. Mal and S. K. Bose, Dynamic Moduli of a Suspension of Imperfectly Bonded Spheres, Proc of the Cambridge Phil Soc 76:587 (1974).
S. K. Datta, A Self-Consistent Approach to Multiple Scattering of Elastic Waves, J Appl Mech 44:657 (1977).
A. J. Devaney, Multiple Scattering Theory for Discrete, Elastic, Random Media, J Math Phys 21:2603 (1980).
J. G. Berryman, Long-Wavelength Propagation in Composite Elastic Media--I, Spherical Inclusions, JASA 68:1809 (1980).
J. G. Berryman, “Long-Wavelength Propagation in Composite Elastic Media--II. Ellipsoidal Inclusions, JASA 68:1820 (1980).
J. R. Willis, A Polarization Approach to the Scattering of Elastic Waves--II. Multiple Scattering from Inclusions, J Mech and Phys of Solids 28:307 (1980).
V. K. Varadan, Y. Ma, and V. V. Varadan, A Multiple Scattering Theory for Elastic Wave Propagation in Discrete Random Media, JASA 77:375 (1985).
H. M. Ledbetter, and S. K. Datta, Effective Wave Speeds in an SiC-particle-reinforced AP Composite. JASA 79:239 (1986)
D. T. Read and H. M. Ledbetter, Elastic Properties of a BoronAluminum Composite at Low Temperature, J of Appl Phys 48:2827 (1977).
V. K. Kinra, M. S. Petraitis, and S. K. Datta, Ultrasonic Wave Propagation in a Random Particulate Composite, Intl J of Solids and Struc 16:301 (1980).
S. K. Datta and H. M. Ledbetter, Anisotropic Elastic Constants of a Fiber-reinforced Boron-Aluminum Composite, in: “Mechanics of Nondestructive Testing,” W. W. Stinchcomb, ed., Plenum, New York (1980).
H. M. Ledbetter, and S. K. Datta, Young’s Modulus and the Internal Friction of an SiC-Particle-Reinforced Aluminum Composite, Matls Sc and Engng 67:25 (1984).
H. M. Ledbetter, Dynamic Elastic Modulus and Internal Friction in Fibrous Composites, in: “Nonmetallic Materials and Composites at Low Temperatures,” Plenum, New York (1979).
H. M. Ledbetter, N. V. Frederick, and M. W. Austin, Elastic-Constant Variability in Stainless Steel, J of Appl Phys 51:305 (1980).
S. K. Datta, Diffraction of Plane Elastic Waves by Ellipsoidal Inclusions, JASA 61:1432.
J. A. Stratton, “Electromagnetic Theory,” McGraw-Hill, New York (1941).
S. K. Datta and H. M. Ledbetter, Effect of Interface Properties on Wave Progagation in a Medium with Inclusions, in: “Mechanics of Material Interfaces,” A.P.S. Selvadurai and G.Z. Voyiadjis, eds., Elsevier, The Netherlands. (1986).
J. E. Gubernatis and E. Domany, Effects of Microstructure on the Speed and Attenuation of Elastic Waves in Porous Materials, Wave Motion 6:579 (1984).
S. K. Datta, H. M. Ledbetter, and R. D. Kriz, Calculated Elastic Constants of Composites containing Anisotropic Fibers, Intl J of Solids and Struc 20:429 (1984).
R. Hill Theory of Mechanical Properties of Fibre-Strengthened Materials: - I. Elastic Behavior, J of the Mech and Phys of Solids 12:199 (1964).
A. H. Shah and S. K. Datta, “Harmonic Waves in a Periodically Laminated Medium,” Intl J of Solids and Struc 18:397 (1982).
S. K. Datta, A. H. Shah, R. L. Bratton, and Y. N. Al-Nassar, Guided Wave Propagation in Laminated Composite Plates with Low-Velocity Interface Layers, to be published.
T. Okamoto, A. Kagawa, K. Kiyoshi, and H. Matsumoto, Effects of Graphite Shape on Thermal Conductivity, Electrical Resistivity, Damping Capacity and Young’s Modulus of Cast Iron below 500 degrees C” J of the Japan Foundrymen’s Soc 55:32 (1983).
D. Lohe, O. Vohringer, and E. Macherauch, Der Einfluss der Graphitform auf den Elastizitatsmodul von ferritischen GusseisenWerkstoffen, Zeitschrift fur Metallkunde 74:265 (1983).
G. R. Speich, A. J. Schwoeble, and B. M. Kapadia, Elastic Moduli of Gray and Nodular Cast Iron, J of Appl Mech 47:821 (1980).
L. Anand, Elastic Moduli of Gray and Ductile Cast Irons, Scripta Met 16:173 (1982).
E. Kroner, and H. Koch, Effective Properties of Disordered Materials, SM Archives 1:183 (1976).
H. Wawra, B. K. D. Gairola, and E. Kroner, Comparison between Experimental Values and Theoretical Bounds for the Elastic Constants E, G, K and µ of Aggregrates of Noncubic Crystallites, Zeitschrift fur Metallkunde 73:69 (1982).
H. M. Ledbetter and D. T. Read, Orthorhombic elastic constants of an NbTi%Cu Composite Superconductor, J of Appl Phys 48:1874 (1977).
R. D. Kriz and W. W. Stinchcomb, Elastic Moduli of Transversely Isotropic Graphite Fibers and their Composites, Exp Mech 19:41 (1979).
R. E. Smith, Ultrasonic Elastic Constants of Carbon Fibers and Their Composites, J of Appl Phys 43:2555 (1972).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media New York
About this chapter
Cite this chapter
Datta, S.K., Ledbetter, H.M., Shah, A.H. (1988). Ultrasonic Velocity Studies of Composite and Heterogeneous Materials. In: Duke, J.C. (eds) Acousto-Ultrasonics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1965-9_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1965-9_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1967-3
Online ISBN: 978-1-4757-1965-9
eBook Packages: Springer Book Archive