Dynamic thermal shock in hollow spheres
Tóm tắt
A method is developed for the solution of problems of uncoupled dynamic thermoelasticity with arbitrarily prescribed spherically symmetric temperature fields. The technique is based on an integration theorem for hyperbolic initial-value problems, together with the construction of image temperature fields in regions outside the actual body so as to satisfy stress or displacement boundary conditions at surfaces.
Từ khóa
Tài liệu tham khảo
Sternberg, Eli, 1959, Thermal shock in an elastic body with a spherical cavity, Quart. Appl. Math., 17, 205, 10.1090/qam/107424
T. Tsui and H. Kraus, Thermal stress-wave propagation in hollow elastic spheres, J. Acoust. Soc. Amer. 37, 730–737 (1965)
Zaker, T. A., 1965, Stress waves generated by heat addition in an elastic solid, Trans. ASME Ser. E. J. Appl. Mech., 32, 143, 10.1115/1.3625710
W. Nowacki, Thermoelaslicity, Ch. 4, Addison-Wesley, Reading, Mass., 1962
R. Courant and D. Hilbert, Methods of mathematical physics, Vol. 2, Ch. 5, Interscience, New York, N. Y., 1962
Carslaw, H. S., 1947, Conduction of Heat in Solids