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One dimensional acceleration waves in inhomogeneous elastic non- conductors. (English) Zbl 0331.73025

MSC:
74J10 Bulk waves in solid mechanics
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[1] Thomas, T. Y.: Extended compatibility conditions for the study of surfaces of discontinuity in continuum mechanics. J. Math. Mech.6, 311-322 (1957). · Zbl 0077.37602
[2] Coleman, B. D., andM. E. Gurtin: Waves in materials with memory. II: On the growth and decay of one-dimensional acceleration waves. Arch. Rational Mech. Anal.19, 239-265 (1965). · Zbl 0244.73017
[3] Coleman, B. D., andM. E. Gurtin: Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves. Arch Rational Mech. Anal.19, 266-298 (1965). · Zbl 0244.73018
[4] Coleman, B. D., J. M. Greenberg, andM. E. Gurtin: Waves in materials with memory, V. Arch. Rational Mech. Anal.22, 333-354 (1966). · Zbl 0247.73022
[5] Bowen, R. M., andC. C. Wang: Acceleration waves in inhomogeneous isotropic elastic bodies. Arch. Rational Mech. Anal.38, 13-45 (1970). · Zbl 0206.54004
[6] Bailey, P. B., andP. J. Chen: On the local and global behavior of acceleration waves. Arch. Rational Mech. Anal.41, 121-131 (1971). · Zbl 0228.73038
[7] Chen, P. J., andH. H. Wicke: Existence of the one-dimensional kinematical condition of compatibility. Istituto Lombardo di Scienze, RendicontiA 105, 322-328 (1972).
[8] Chen, P. J.: Growth and Decay of Waves in Solids, Handbuch der Physik, Vol. VI/III, 2nd ed. (Truesdell, C. ed.). Berlin-Heidelberg-New York: Springer. 1972.
[9] Chen, P. J.: On the behavior of acceleration waves in deformed elastic non-conductors. J. Appl. Mech.39, 114-118 (1972). · Zbl 0247.73008
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