Transient Plane-Strain Response of Multilayered Elastic Cylinders to Axisymmetric Impulse

[+] Author and Article Information
X. C. Yin

Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210014, P. R. Chinae-mail: yinxch@mail.njust.edu.cn

Z. Q. Yue

Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, P. R. Chinae-mail: yueqzq@hkucc.hku.hk

J. Appl. Mech 69(6), 825-835 (Oct 31, 2002) (11 pages) doi:10.1115/1.1505625 History: Received June 20, 2001; Revised March 06, 2002; Online October 31, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Noor,  A. K., and Burton,  W. S., 1990, “Assessment of Computational Models for Multilayered Composite Shells,” Appl. Mech. Rev., 43, pp. 67–97.
Noor,  A. K., 1990, “Bibliography of Monographs and Surveys on Shells,” Appl. Mech. Rev., 43, pp. 223–234.
Soldatos,  K. P., 1994, “Review of Three Dimensional Dynamic Analyses of Circular Cylinders and Cylindrical Shells,” Appl. Mech. Rev., 47, pp. 501–516.
Valle,  C., Qu,  J., and Jacobs,  L. J., 1999, “Guided Circumferential Waves in Layered Cylinders,” Int. J. Eng. Sci., 37, pp. 1369–1387.
Nayfeh,  A. H., Abdelraman,  W. G., and Nagy,  P. B., 2000, “Analyses of Axisymmetric Waves in Layered Piezoelectric Rods and Their Composites,” J. Acoust. Soc. Am., 108, pp. 1496–1504.
Habip,  L. M., 1965, “A Review of Recent Work on Multilayered Structure,” Int. J. Mech. Sci., 7, pp. 589–593.
Christoforou,  A. P., and Swanson,  S. R., 1990, “Analysis of Simply-Supported Orthotropic Cylindrical Shells Subjected to Lateral Impact Loads,” ASME J. Appl. Mech., 57, pp. 376–382.
Chonan,  S., 1984, “Response of a Pre-Stressed Orthotropic Thick Cylindrical Shell Subjected to a Pressure Pulse,” J. Sound Vib., 93, pp. 31–38.
Humphreys,  J. S., and Winter,  R., 1965, “Dynamic Response of a Cylinder to a Side Pressure Pulse,” AIAA J., 3, pp. 27–32.
Sivadas,  K. R., and Ganesan,  N., 1993, “Dynamic Analysis of Circular Cylindrical Shells With Material Damping,” J. Sound Vib., 166, pp. 103–116.
Nachbar,  P. M., 1962, “On the Role of Bending in the Dynamics Response of Thin Shells to Moving Discontinuous Loads,” J. Aerosp. Sci., 29, pp. 648–657.
Jones,  J. P., and Bhuta,  P. G., 1964, “Response of Cylindrical Shells to Moving Loads,” ASME J. Appl. Mech., 31, pp. 105–111.
Mangrum,  E., and Burns,  J. J., 1979, “Orthotropic Cylindrical Shells Under Dynamic Loading,” ASME J. Mech. Des., 101, pp. 322–329.
Lindberg,  H. E., 1964, “Buckling of a Very Thin Cylindrical Shell due to an Impulsive Pressure,” ASME J. Appl. Mech., 31, pp. 267–272.
Goodier,  J. N., and McIvor,  I. K., 1964, “The Elastic Cylindrical Shell Under Nearly Uniform Radial Impulse,” ASME J. Appl. Mech., 31, pp. 259–266.
Lovell,  E. G., and McIvor,  I. K., 1969, “Nonlinear Response of a Cylindrical Shell to an Impulsive Pressure,” ASME J. Appl. Mech., 36, pp. 277–284.
Loy,  T. C., and Lam,  K. Y., 1999, “Vibration of Thick Cylindrical Shells on the Basis of Three-Dimensional Theory of Elasticity,” J. Sound Vib., 226, pp. 719–737.
Svärdh,  P. A., 1984, “Three-Dimensional Analysis of Axisymmetric Transient Waves in Hollow Elastic Cylinders,” ASME J. Appl. Mech., 51, pp. 792–797.
Chong,  K. P., Lee,  P. C. Y., and Cakmak,  A. S., 1969, “Propagation of Axially Symmetric Waves in Hollow Elastic Circular Cylinders Subjected to a Step-Function Loading,” J. Acoust. Soc. Am., 49, pp. 201–210.
Heimann,  J. H., and Kolsky,  H., 1958, “The Propagation of Elastic Waves in Thin Cylindrical Shells,” J. Mech. Phys. Solids, 14, pp. 121–130.
Fitch,  A. H., 1963, “Observation of Elastic-Pulse Propagation in Axially Symmetric and Nonaxially Asymmetric Longitudinal Modes of Hollow Cylinders,” J. Acoust. Soc. Am., 35, pp. 706–708.
Kley,  M., Valle,  C., Jacobs,  L. J., Qu,  J., and Jarzynski,  J., 1999, “Development of Dispersion Curves for Two-Layered Cylinders Using Laser Ultrasonics,” J. Acoust. Soc. Am., 106, pp. 582–588.
Rabern,  D. A., and Lewis,  M. W., 1992, “Two and Three-Dimensional Simulations of Moving Pressure Fronts in Gun Tubes,” ASME J. Pressure Vessel Technol., 114, pp. 181–188.
Cinell,  G., 1966, “Dynamic Vibrations and Stresses in Elastic Cylinders and Spheres,” ASME J. Appl. Mech., 33, pp. 825–830.
Gong, Y. N., and Wang, X., 1991, “Radial Vibrations and Dynamic Stress in Elastic Hollow Cylinders,” Structural Dynamic: Recent Advances, Elsevier Science Publications, Elsevier, London, pp. 137–147.
Wang,  X., and Gong,  Y. N., 1992, “An Theoretical Solution for Axially Symmetric Problem in Elastodynamics,” Acta Mech. Sin., 7, pp. 275–282.
Wang,  X., 1995, “Thermal Shock in a Hollow Cylinder Caused by Rapid Arbitrary Heating,” J. Sound Vib., 183, pp. 899–906.
Cho,  H., Kardomateas,  G. A., and Valle,  C. S., 1998, “Elastodynamic Solution for the Thermal Shock Stresses in an Orthotropic Thick Cylindrical Shell,” ASME J. Appl. Mech., 65, pp. 184–193.
Yin,  X. C., 1997, “Multiple Impacts of Two Concentric Hollow Cylinders With Zero Clearance,” Int. J. Solids Struct., 34, pp. 4597–4616.
Yin,  X. C., and Wang,  L. G., 1999, “The Effect of Multiple Impacts on the Dynamics of an Impact System,” J. Sound Vib., 228, pp. 995–1015.
Wang,  X., and Gong,  Y. N., 1992, “An Elastodynamic Solution for Multilayered Cylinders,” Int. J. Eng. Sci., 30, pp. 25–33.
Wang,  X., 1993, “Stress Wave Propagation in a Two-Layered Cylinder With Initial Interface Pressure,” Int. J. Solids Struct., 30, pp. 1693–1700.
Eringen, A. C., and Suhubi, E. S., 1975, Elastodynamics, Vol. 2, Linear Theory, Academic Press, New York.
Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, Dover, New York.
Gurtin, M. E., 1984, “The Linear Theory of Elasticity,” Mechanics of Solids, C. Truesdell, ed., Springer-Verlag, Berlin, II , pp. 1–295.
Liu,  G., and Qu,  J., 1998, “Transient Wave Propagation in a Circular Annulus Subjected to Transient Excitation on Its Outer Surface,” J. Acoust. Soc. Am., 104, pp. 1210–1220.
Titchmarsh, E. C., 1962, Eigenfunction Expansions, Part I, Oxford University Press, London.


Grahic Jump Location
Geometry and coordinate system of the multilayered cylinder
Grahic Jump Location
Spatial variations of the radial displacement and the radial and circumferential stress obtained using the exact solution (19) (solid line) and the approximate solution (20) (dashed line) at the time t̄=1 for a two-layered circular cylinder (the thick line for n=2000; the moderately line for n=3; and the thin line n=1)
Grahic Jump Location
Time histories of the radial stress (a) and the circumferential stress (b) at the interfaces of a seven-layered circular cylinder (n=2000)
Grahic Jump Location
Spatial distributions of the radial displacements at different time for seven-layered circular cylinders where (a) for h1/a1=10 and (b) for h1/a1=1(n=2000)
Grahic Jump Location
Spatial distributions of the stresses at different time for seven-layered circular cylinders where (a) for h1/a1=10, and (b) for h1/a1=1; the solid lines for the circumferential stress and the dashed lines for the radial stress
Grahic Jump Location
Spatial distributions of the radial displacement and the stresses for a seven-layered circular cylinder with h1/a1=0.1 where the solid lines for the circumferential stress and the dashed lines for the radial stress; n=2000;①: t̄=1+1/32,②: t̄=2+1/32,③: t̄=5+1/32,④: t̄=10+1/32,⑤: t̄=20+1/32,⑥: t̄=100+1/32,⑦: t̄=200+1/32
Grahic Jump Location
Variation of the relative wave front height with the decreasing of the acoustic impedance ratio for a seven layered cylinder (n=2000)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In