Sage Journals: Discover world-class research

Abstract

A new and simple numerical method is presented for computing large amplitude, one-dimensional wave propagation in composite materials. The method deals with values of stress, particle velocity, and displacement that are averaged over several unit cells of the composite. The principal advantage of the method over previous macroscopic approaches is that it uses the numerical oscillations and the artificial viscosity already present in one-dimensional hydrocodes to model the geometric and dissipative dispersions of the composite material. The hydrocodes (such as PUFF or WONDY) may be used in their present form without additional dispersion relations. The method is shown to correspond to a definite physical constitutive material model. Comparisons of computational results with this method are made with those from previous models and with experimental measurements.

Get full access to this article

View all access options for this article.

References

J.C. Peck , "Stress-Wave Propagation and Fracture in Composites," in Dynamics of Composite Material, presented at 1972 Joint National and Western Applied Mechanics Conference, ASME, La Jolla, California, ed. E. H. Lee , June 26-28, 1972.

J.C. Peck , "Pulse Attenuation in Composites," in Shock Waves and the Mechanical Properties of Solids, ed. J. J. Burke and V. Weiss , Syracuse University Press, (1971).

L.M. Barker , "A Model for Stress Wave Propagation in Composite Materials," J. Composite Materials, Vol. 5, ( 1971), p. 140.

D.S. Drumheller and H.J. Sutherland , J. Appl. Mech., Vol. 40, (1973), p. 149.

W.L. Bade , "Composite Material Model Development," Technical Report No. AFWL-TR-72-8, Air Force Weapons Laboratory, Kirtland AFB, New Mexico, (May 1972 ).

J. Shea , J. Reaugh , K. Seifert , F. Tuler , and M. Graham , "Dynamic Response of Composite Materials," Vol. 1 PIFR-272, Physics International Company, San Leandro, California (January 1972).

W. Herrmann , P. Holzhauser , and R.J. Thompson , "Wondy, A Computer Program for Calculating Problems of Motion on One Dimension," SC-RR-66-001, Sandia Corporation, Albuquerque, New Mexico (February 1967).

C.D. Lundergan , "Discussion of the Transmitted Waveforms in a Periodic Laminated Composite," J. Appl. Phys., Vol. 42 (1971), p. 4148.

B.J. Kohn , S.L. Washington , and J.A. Klosterbuer , "Stress Wave Dispersion in Composite Materials— An Experimental Study," Technical Report No. AFWL-TR-71-177, Air Force Weapons Laboratory, Kirtland AFB, New Mexico (April 1972).

10.

W.L. Bade , A.T. Kramer , R.R. McMath , and J.M. Yos , "Theoretical and Experimental Study of Advanced Materials (TESAM)" Vol. 1, Technical Report No. AFWL-TR-70-91, Vol. 1, Air Force Weapons Laboratory, Kirtland AFB, New Mexico (March 1971).

11.

L. Seaman , T.W. Barbee , and D.R. Curran , "Dynamic Fracture Criteria for Homogeneous Materials," Technical Report No. AFWL-TR-71-156 Air Force Weapons Laboratory, Kirtland AFB, New Mexico, pp. 233-236 (December 1971).

12.

W. Herrmann and J. Nunziato , "Nonlinear Constitutive Equations," to be published as Chapter 5 of Dynamic Behavior of Materials under Impulsive Loading, Editor: P. C. Chou , Air Force Materials Laboratory (1973).

13.

See, for example , E.H. Kennard , Kinetic Theory of Gases, McGraw-Hill, 1938.

14.

J. Tasi , J. Appl. Phys. Vol. 44 ( 1973), p. 2245.

15.

H.J. Sutherland and R. Lingle , "Geometric Dispersion of Acoustic Waves by a Fibrous Composite," J. Composite Materials, Vol. 6 (1972), p. 490.

16.

G.P. Devault , "The Effect of Lateral Inertia on the Propagation of Plastic Strain in a Cylindrical Rod," J. Mech. Phys. Solids , Vol. 13 (1965), p. 55.

17.

A. Sommerfeld , Ann. Physik Vol. 44 (1914), p. 177; L. Brillouin , ibid, (1914), p. 203.

18.

J.A. Stratton , Electromagnetic Theory, McGraw-Hill, p. 333-1914 (1941).

The Use of Artificial Viscosity to Compute One-Dimensional Wave Propagation in Composite Materials

Abstract

Get full access to this article

References