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Waves in materials with memory. V: On the amplitude of acceleration waves and mild discontinuities. (English) Zbl 0247.73022

MSC:
74Jxx Waves in solid mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
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[1] Coleman, B.D., M.E. Gurtin, & I. Herrera R., Arch. Rational Mech. Anal. 19, 1-19 (1965).
[2] Coleman, B.D., & M.E. Gurtin, Arch. Rational Mech. Anal. 19, 239-265 (1965). · Zbl 0244.73017
[3] Coleman, B.D., & M.E. Gurtin, Arch. Rational Mech. Anal. 19, 266-298 (1965). · Zbl 0244.73018
[4] Coleman, B.D., & M.E. Gurtin, Arch. Rational Mech. Anal. 19, 317-338 (1965).
[5] Coleman, B.D., & M.E. Gurtin, Thermodynamics and wave propagation, Report No. 100, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, April 1965. · Zbl 0219.73016
[6] Coleman, B.D., & M.E. Gurtin, Acceleration waves in nonlinear materials, Report No. 4, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, December 1965. · Zbl 0138.22006
[7] Varley, E., Arch. Rational Mech. Anal. 19, 215-225 (1965). · Zbl 0136.22101
[8] Wang, C.-C., & R.M., Bowen, Arch. Rational Mech. Anal. 22, 79-99 (1966). · Zbl 0152.43001
[9] Truesdell, C., Arch. Rational Mech. Anal. 8, 263-296 (1961). · Zbl 0111.37703
[10] Coleman, B.D., M.E. Gurtin, I. Herrera R., & C. Truesdell, Wave Propagation in Dissipative Materials. New York: Springer 1965. · Zbl 0151.39401
[11] Coleman, B.D., & M.E. Gurtin, Thermodynamics and one-dimensional shock waves in materials with memory, Report No. 3, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, August 1965. · Zbl 0138.22006
[12] Coleman, B.D., & W. Noll, Arch. Rational Mech. Anal. 6, 355-370 (1960). · Zbl 0097.16403
[13] Coleman, B.D., & W. Noll, Rev. Mod. Phys. 33, 239-249 (1961); 36, 1103 (1964). · Zbl 0103.40804
[14] Maxwell, J.C., Phil. Trans. Royal Soc. London (A) 157, 49-88 (1867) ? Papers 2, 26-78.
[15] Bowen, R.M., & C.-C. Wang, Personal communication.
[16] Ericksen, J.L., J. Rational Mech. Anal. 2, 329-337 (1953).
[17] Thomas, T.Y., J. Math. Mech. 6, 455-469 (1957).
[18] Green, W.A., Arch. Rational Mech. Anal. 16, 79-88 (1964); 19, 20-23 (1965). · Zbl 0124.41702
[19] Coleman, B.D., Arch. Rational Mech. Anal. 17, 1-46, 230-254 (1964).
[20] Greenberg, J.M., The existence of one-dimensional steady shock waves in nonlinear materials with memory, Report No. 8, Contract Nonr 562(40), Division of Applied Mathematics, Brown University, April 1966.
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