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

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)
Full Text: DOI
[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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