References
M.A. Goodman & S.C. Cowin, A continuum theory for granular materials, Arch. Rational Mech. Anal. 44, 249 (1972).
S.C. Cowin, Thermodynamic model for porous materials with vacuous pores, J. Appl. Phys. 43, 2495 (1972).
S.C. Cowin & M.A. Goodman, A variational principle for granular materials, Z. angew. Math. Mech. 56, 281 (1976).
W. Herrmann, Constitutive equation for the dynamic compaction of ductile porous materials, J. Appl. Phys. 40, 2490 (1969).
B.D. Coleman & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Rational Mech. Anal. 13, 167 (1963).
B.D. Coleman & M.E. Gurtin, Waves in materials with memory, III. Thermodynamic influences on the growth and decay of acceleration waves, Arch. Rational Mech. Anal. 19, 266 (1965).
R.M. Bowen & T.W. Wright, On wave propagation in a mixture of linear elastic materials, Rend. Circ. Matem. di Palermo 21, 209 (1972).
J.R. Leininger & R.R. Nachlinger, Speed of propagation of acceleration waves in a binary nonreacting mixture, J. Acoust. Soc. Amer. 49, 749 (1971).
B.D. Coleman & M.E. Gurtin, Waves in materials with memory, II. On the growth and decay of one-dimensional acceleration waves, Arch. Rational Mech. Anal. 19, 239 (1965).
P.B. Bailey & P.J. Chen, On the local and global behavior of acceleration waves, Arch. Rational Mech. Anal. 41, 121 (1971).
R.M. Bowen & P.J. Chen, Some comments on the behavior of acceleration waves of arbitrary shape, J. Math. Phys. 13, 948 (1972).
B.D. Coleman, J.M. Greenberg & M.E. Gurtin, Waves in materials with memory, V. On the amplitude of acceleration waves and mild discontinuities, Arch. Rational Mech. Anal. 22, 333 (1966).
B.M. Butcher, The description of strain-rate effects in shocked porous materials. In: Shock Waves and the Mechanical Properties of Solids, Syracuse University Press, Syracuse, New York (1971).
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Communicated by C. Truesdell
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Nunziato, J.W., Walsh, E.K. On the influence of void compaction and material non-uniformity on the propagation of one-dimensional acceleration waves in granular materials. Arch. Rational Mech. Anal. 64, 299–316 (1977). https://doi.org/10.1007/BF00282342
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DOI: https://doi.org/10.1007/BF00282342