Thermal stress-focusing effect following rapid uniform heating of spheres and long cylindrical rods

Journal of Thermal Stresses

Volumn 20, Issue 8-9, 1997, Pages 819-852

  Hata, Toshiaki ^a  

^a SHIZUOKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); FOCUSING; HEATING; SPHERES; STRESS ANALYSIS;

STRESS WAVES;

THERMAL STRESS;

EID: 0031268647     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495739708956130     Document Type: Article

References (55)

1. C. H. Ho, Stress-Focusing Effect in a Uniformly Heated Cylindrical Rod, ASME J. Appl. Mech., vol. 43, pp. 404-468, 1976.
2. E. Sternberg and J. G. Chakravorty, Thermal Shock in an Elastic Body with a Spherical Cavity, Quart. Appl. Math., vol. 17, pp. 205-218, 1959.
3. T. Tsui and H. Kraus, Thermal Stress-Wave Propagation in Hollow Elastic Spheres, J. Acoust. Soc. Amer., vol. 37, pp. 730-737, 1965.
4. T. A. Zaker, Dynamic Thermal Shock in a Spherical Elastic Shell of Arbitrary Thickness, Proc. 5th US Nat. Congress Appl. Mech., p. 183, 1966.
5. T. A. Zaker, Dynamic Thermal Shock in a Hollow Sphere, Quart. Appl. Math., vol. 26, p. 503, 1968.
6. N. Sumi and Y. Ito, Dynamic Thermal Stresses in Composite Hollow Cylinders and Spheres Caused by Sudden Heating, JSME Int. J., vol. 35, pp. 259-264, 1992.
7. N. Sumi and Y. Ito, The propagation and Reflection of Thermal Stress Waves in Anisotropic Nonhomogeneous Hollow Cylinders and Spheres, Nuclear Engrg. Design, vol. 140, pp. 133-145, 1993.
8. W. Nowacki, Thermoelasticity, Pergamon Press, Oxford, 1962.
9. W. Nowacki, Dynamic Problem of Thermoelasticity, Noordhoff IP, Leyden, The Netherlands, 1962.
10. Y. Takeuti and N. Noda, Analyses of Thermal Stresses, Nissin, Tokyo, Japan, 1989. (Japanese)
11. B. A. Boley and J. H. Weiner, Theory of Thermal Stresses, John Wiley and Sons, New York, 1960.
12. H. Parkus, Instationdre Warmespannungen, Springer, Wien, 1959.
13. H. Parkus, Dynamic Problem of Thermoelasticity, Noordhoff IP, Leyden, The Netherlands, 1962.
14. R. B. Hetnarski (ed.), Thermal Stresses, Vols. I-III, North-Holland, Amsterdam, 1987.
15. Y. Tanigawa, Thermoelastic Problems in a Sphere and an Infinite Medium with a Spherical Cavity, The Research Report on Thermal Stresses and Its Design, P-SC 56, Japan Society of Mechanical Engineering, no. 337, pp. 52-74, 1985. (Japanese)
16. T. Hata, Thermal Shock in a Hollow Sphere Caused by Rapid Uniform Heating, ASME J. Appl. Mech., vol. 58, pp. 64-69, 1991.
17. J. N. Goodier, Integration of Thermoelastic Equations, Philos. Mag., vol. 37, p. 1017, 1937.
18. Y. H. Pao and A. N. Ceranoglue, Determination of Transient Response of a Thick-Walled Spherical Shell by Ray Theory, ASME J. Appl. Mech., vol. 45, pp. 114-122, 1978.
19. N. Sumi, Solution of Dynamic Thermal Stresses by the Method of Characteristics, Proc. 1996 Annual Meeting of JSME/MMD, vol. A, pp. 367-372, 1996.
20. E. Sternberg and J. G. Chakravorty, On Inertia Effects in a Transient Thermoelastic Problem, ASMEJ. Appl. Mech., vol. 17, pp. 503-509, 1959.
21. J. Puri, One-Dimensional Dynamic Problems of Thermoelasticity, Arch. Mech. Stosowanei, vol. 16, pp. 93-102, 1964.
22. T. A. Zaker, Stress Waves Generated by Heat Addition in an Elastic Solid, ASME J. Appl. Mech., vol. 32, pp. 143-150, 1965.
23. L. W. Morland, Generation of Thermoelastic Stress Waves by Impulsive Electromagnetic Radiation, AIAA J., vol. 6, pp. 1063-1066, 1968.
24. W. Nachbar, A Simplified Model for Thermal Shock and Spallation in Partially Transparent Elastic Materials Under Energetic Radiation, AFOSR Scientific Report AFOSR 68-1552, pp. 1-33, 1968.
25. P. J. Rausch, The Effect of Heating Time on Thermally Induced Stress Waves, ASME J. Appl. Mech., vol. 36, pp. 340-342, 1969.
26. G. A. Hegemier and F. Tzung, Stress-Wave Generation in a Temperature-Dependent Absorbing Solid by Impulsive Electromagnetic Radiation, ASME J. Appl. Mech., vol. 37, pp. 339-344, 1970.
27. J. D. Achenbach, Wave Propagation in Elastic Solids, North-Holland, Amsterdam, 1973.
28. T. Hata, Stress-Focusing Effect in a Solid Sphere Caused by Instantaneous Uniform Heating, JSME Int. J., vol. 33, pp. 33-36, 1990.
29. T. Hata, Stress-Focusing Effect in a Uniformly Heated Solid Sphere, ASME J. Appl. Mech., vol. 58, pp. 58-63, 1991
30. P. Mann-Nachbar and W. Nachbar, Thermal Shock Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods, Aerospace Corp. Report TR-0066 (S5816-71)-1, pp. 1-49, 1970.
31. J. Y. Chu, Coupled Thermal Stresses in a Sphere Due to a Sudden Heating of Its Surface, Bull, de L'acad. Polon. Sci. Ser. Sci. Tech., vol. 11, pp. 417-423, 1963.
32. W. Piechocki, Axisymmetric Dynamic Problem of Thermoelasticity for a Solid Sphere, Arch. Mech, Stosowanej, vol. 4, pp. 553-561, 1960.
33. S. Kaliski, Concentric, Uniform Elastic Spherical Wave Excited by Thermal Explosion of the Envelope, Bull. L'acad. Poion. Sci. Ser. Sci. Tech., vol. 21, pp. 75-80, 1973.
34. S. Kaliski, Hypersonic Concentric Thermal Wave in an Elastic Medium, Bull. L’acad. Polon. Sci. Ser. Sci. Tech., vol. 21, pp. 81-86, 1973.
35. C. W Nelson, Transient Axially Symmetric Excitation of a Circular Elastic Rod in Plane Strain, ASMEJ. Appl. Mech., vol. 35, pp. 306-312, 1968.
36. C. W. Nelson, The Ramp Unloading Case of Transient Axially Symmetric Excitation of a Circular Elastic Rod in Plane Strain, J. Franklin Inst., vol. 287, pp. 125-142, 1969.
37. C. Lanczos, Applied Analysis, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1956.
38. T. Hata, Reconsideration of the Stress-Focusing Effect in a Uniformly Heated Solid Cylinder, ASME J. Appt. Mech., vol. 61, pp. 676-680, 1994.
39. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover Publications, New York, 1965.
40. T. Hata, Thermal Stress-Focusing Effect in a Solid Sphere Subjected to Instantaneous Heating, J. Thermal Stresses, vol. 18, pp. 437-448, 1995.
41. T. Hata, Stress-Focusing Effect Due to an Instantaneous Concentrated Heat Source in a Sphere, J. Thermal Stresses, to appear.
42. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, London, 1959.
43. T. Hata, Stress-Focusing Effect in a Uniformly Heated Transversely Isotropic Sphere, Int. J. Solids Structures, vol. 30, pp. 1419-1428, 1993.
44. T Hata, Stress-Focusing Effect in a Transversely Isotropic Cylinder Caused by Instantaneous Heating, JSME Int. J., vol. 39, pp. 362-366, 1996.
45. T. Hata, Analysis of Stress-Focusing Effect of Magnetothermoelastic Waves in a Perfectly Conducting Solid Cylinder, Trans. JSME Ser. A, vol. 62, pp. 2104-2108, 1996. (Japanese)
46. T. Hata, Analysis of the Stress-Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium, Froc. 1996 Annual Meeting of JSME/MMD, vol. A, pp. 417-418, 1996.
47. T. Tsuji, M. Ichiryu, and N. Noda, Atomic Order Thermal Shock Problems by Using Molecular Dynamics, Proc. 72th JSME Fall Annual Meeting, vol. I, pp. 178-180, 1994.
48. C. C. Wu and P. H Roberts, A Model of Sonoluminescence, Proc. Roy. Soc. London Ser. A, vol. 445, pp. 323-349, 1994.
49. Xi Wang, The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon, Appl. Math. Mech., vol. 14, pp. 777-785, 1993.
50. J. F. Silva Gomens and S. T. S. Al-Hassani, Internal Fractures in Spheres Due to Stress Wave Focusing, Int. J. Solids Structures, vol. 13, pp. 1007-1017, 1977.
51. N. Nakagawa, R. Kawai, and N. Urushi, Analysis of Stress Wave Propagation in an Elasto-Visco-plastic Plate (The Focusing of Stress Waves), Trans. JSME Ser. C, vol. 52, pp. 3010-3018, 1986. (Japanese)
52. H. J. Raatschen, Fokussierung von Spannungswellen in einer krummiinig berandeten Scheibe, ZAMM, vol. 67, pp. T230-T233, 1987.
53. I. I Glass, Shock Waves & Man (Takayama K., transl.), Maruzen, Tokyo, 1974.
54. K. Watanabe, T Hata, K. Koyama, and H. Kurosawa, Wave Focusing by a Spherical Concave Transducer, Wave Motion, vol. 20, pp. 1-12, 1994.
55. T Hata, Stress-Focusing Effect in a Solid Cylinder Caused by Ramp Unloading, Trans. JMSE Ser. A, vol. 58, pp. 1684-1688, 1992. (Japanese)