Propagation of coupled thermomechanical waves in uniaxial inelastic solids

Journal of Thermal Stresses

Volumn 25, Issue 10, 2002, Pages 927-949

  Orisamolu, I R ^a   Singh, M N K ^b   Singh, M C ^c  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^b UNIVERSITY OF MANITOBA   (Canada)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

Inelastic solids; Nonlinear wave propagation; Thermomechanical waves

Indexed keywords

BOUNDARY CONDITIONS; DEFORMATION; ELASTICITY; PROBLEM SOLVING; SOLIDS; STRAIN RATE; WAVE PROPAGATION;

INELASTIC SOLIDS; THERMOMECHANICAL WAVES;

ELASTIC WAVES;

EID: 0036786725     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730290074405     Document Type: Article

References (24)

1. W.S. Farren and G.I. Taylor, The Heat Developed during Plastic Extension of Metals, Proc. Roy. Soc. London, vol. 107, pp. 422-451, 1925.
2. H. Date, Propagation of Plastic Wave in a Long Rod with Consideration of Temperature Rise, in G. Yagawa and S. N. Atluri (Eds.), Proceedings of the International Conference on Computational Mechanics, vol. 2, Springer-Verlag, Tokyo, 1986.
3. R.W. Klopp, R.J. Clifton, and T.G. Shawki, Pressure-Shear Impact and the Dynamic Viscoplastic Response of Metals, Mechanics of Materials, vol. 4, p. 375, 1985.
4. R. Riff and G.J. Simitses, Thermo-Elasto-Viscoplastic Analysis of Problems in Extension and Shear, Computers & Structures, vol. 29, p. 293, 1988.
5. S.R. Bodner and J. Aboudi, Stress Wave Propagation in Rods of Elastic-Viscoplastic Material, Int. J. Solids Structures, vol. 19, p. 305, 1983.
6. X. Markenscoff and R.J. Clifton, Radiation from Expanding Circular Dislocation Loops and Elastic Precursor Decay, J. Appl. Mech., vol. 49, p. 792, 1982.
7. I.R. Orisamolu and M.C. Singh, A Thermodynamically Consistent Set of Explicit Constitutive State Equations for Inelastic Solids, J. Thermal Stresses, vol. 12, p. 351, 1989.
8. I.R. Orisamolu, Thermomechanical Waves in Inelastic Solids, Ph.D. Thesis, The University of Calgary, 1988.
9. D.J. Bamman and E.C. Aifantis, On a Proposal for a Continuum with Microstructure, Acta Mech., vol. 45, pp. 91-121, 1982.
10. M.C. Cattaneo, Sulla Conduzione de Calor, Atti del Seminario Matematico e Fisico Della Universita di Modena, vol. 3, p. 3, 1948.
11. Y. Shulman and H.W. Lord, A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
12. J.D. Achenbach, The Influence of Heat Conduction on Propagating Stress Jumps, J. Mech. Phys. Solids, vol. 16, pp. 273-282, 1968.
13. F.R. Norwood and W.E. Warren, Wave Propagation in the Generalized Dynamical Theory of Thermoelasticity, Quart J. Mech. Appl. Math., vol. 22, pp. 283-290, 1969.
14. P.M. Jordan and P. Puri, Thermal Stresses in a Spherical Shell under Three Thermoelastic Models, J. Thermal Stresses, vol. 24, pp. 47-70, 2001.
15. N. Sumi, Numerical Solutions of Thermoelastic Wave Problems by the Method of Characteristics, Proc. Fourth Int. Cong. on Thermal Stresses, Thermal Stresses '2001, Osaka, Japan, 2001.
16. S.R. Bodner and Y. Partom, Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials, Trans. ASME J. Mech. Appl. Math., vol. 42, pp. 385-389, 1975.
17. A. Jeffrey and T. Taniuti, Nonlinear Wave Propagation with Applications to Physics and Magnetohydrodynamics, Academic Press, New York, 1964.
18. R.J. Clifton, Stress Wave Experiments in Plasticity, Int. J. Plasticity, vol. 1, p. 289, 1985.
19. A.C. Eringen and E.W. Suhubi, Elastodynamics, vol. 1., in Finite Motions, Academic Press, New York, 1974.
20. P.J. Chen, Selected Topics in Wave Propagation, Noordhoff International Publishing, Leyden, 1976.
21. W. Kosinski, One-Dimensional Shock Waves in Solids with Internal State Variables, Arch. Mechanics, vol. 27, pp. 445-458, 1975.
22. R.W. MacCormack, The Effect of Viscosity in Hypervelocity Impact Cratering, AIAA Paper No. 69-354, 1969.
23. M.C. Singh and D.V.D. Tran, Propagation of Waves in Nonlinear Uniaxial Coupled Thermoelastic Solids, J. Thermal Stresses, vol. 17, pp. 21-44, 1994.
24. R.W. Klopp, R.J. Clifton, and T.G. Shawki, Pressure-Shear Impact and the Dynamic Viscoplastic Response of Metals, Mech. Materials, vol. 4, pp. 375-385, 1985.