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Waves in thermo-viscoelastic rods. (English) Zbl 0491.73029

MSC:
74M20 Impact in solid mechanics
74A15 Thermodynamics in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74F05 Thermal effects in solid mechanics
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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References:
[1] Cohen, H.: A non-linear theory of elastic directed curves. Int. J. Engng. Sci.4, 511-524 (1966).
[2] Green, A. E., Laws, N.: A general theory of rods. Proc. Roy. Soc.A 293, 145-155 (1966).
[3] Shack, W. J.: On linear viscoelastic rods. Int. J. Solids Structures6, 1-20 (1970). · Zbl 0184.51402
[4] Green, A. E., Laws, N., Naghdi, P. M.: A linear theory of straight elastic rods. Arch. Rat. Mech. Analysis25, 285-298 (1967). · Zbl 0146.46204
[5] Cohen, H.: Shock wave decay in elastic rods. Iranian J. Sci., Tech.7, 83-91 (1978).
[6] Bachmann, R. C., Cohen, H.: Wave propagation in elastic rods with multiple wave speeds. Math. Proc. Camb. Phil. Soc.86, 179-191 (1979). · Zbl 0496.73021
[7] Truesdell, C.: Rational thermodynamics. McGraw-Hill 1969. · Zbl 0598.73002
[8] Truesdell, C., Toupin, R. A.: The classical field theories. In: Handbuch der Physik, Vol. III/1. Berlin-Göttingen-Heidelberg: Springer 1960.
[9] Valanis, K. C.: Propagation and attenuation of waves in linear viscoelastic solids. J. Math. & Phys.44, 227-239 (1965).
[10] Chadwick, P., Powdrill, B.: Singular surfaces in linear thermoelasticity. Int. J. Engng. Sci.3, 561-595 (1965).
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