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Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves. (English) Zbl 0244.73017

MSC:
74J99 Waves in solid mechanics
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[1] Coleman, B. D., M. E. Gurtin, & I. Herrera R., Arch. Rational Mech. Anal. 19, 1–18 (1965).
[2] Noll, W., Arch. Rational Mech. Anal. 2, 197–226 (1958). · Zbl 0083.39303
[3] Coleman, B. D., Arch. Rational Mech. Anal. 17, 230–254 (1964).
[4] Truesdell, C., & R. A. Toupin, The Classical Field Theories. In the Encyclopedia of Physics, Vol. III/1, edited by S. Flügge. Berlin-Göttingen-Heidelberg: Springer 1960.
[5] Thomas, T.Y., Plastic Flow and Fracture in Solids. New York-London: Academic Press 1961. · Zbl 0095.38902
[6] Chu, B.-T., Stress Waves in Isotropic Viscoelastic Materials 1, a report to ARPA from the Division of Engineering, Brown University, Providence, March 1962.
[7] Gurtin, M. E., & I. Herrera R., Quart. Appl. Math. 22, 360–364 (1964).
[8] Thomas, T. Y., J. Math. Mech. 6, 455–469 (1957).
[9] Green, W. A., Arch. Rational Mech. Anal. 16, 79–89 (1964). · Zbl 0124.41702
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[11] Coleman, B. D., & W. Noll, Ann. N.Y. Acad. Sci. 89, 672–714 (1961). · Zbl 0122.43506
[12] Coleman, B. D., Arch. Rational Mech. Anal., forthcoming.
[13] Truesdell, C., Arch. Rational Mech. Anal. 8, 263–296 (1961). · Zbl 0111.37703
[14] Gross, B., Mathematical Structure of the Theories of Viscoelasticity. Paris: Hermann & Cie. 1953. · Zbl 0052.20901
[15] Ferry, J. D., Viscoelastic Properties of Polymers. New York: Wiley 1961.
[16] Coleman, B. D., & W. Noll, Simple Fluids with Fading Memory. In: Proc. Internat. Sympos. Second-Order Effects, Haifa, 1962: New York: Macmillan 1964, pp. 530–552.
[17] Wang, C.-C., Arch. Rational Mech. Anal. 18, 117–126 (1965).
[18] Coleman, B. D., Arch. Rational Mech. Anal. 17, 1–46 (1964).
[19] Lee, E. H., & I. Kanter, J. Appl. Phys. 24, 1115–1122 (1953). · Zbl 0051.16804
[20] Hunter, S. C., Viscoelastic Waves. In: Progress in Solid Mechanics, Vol. I, edited by I. N. Sneddon & R. Hill. Amsterdam: North-Holland Publishing Co. 1960.
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