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Received: 2001-11-18

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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.1 P.8-12

http://doi.org/10.1631/jzus.2003.0008


Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems


Author(s):  WANG Hui-ming, DING Hao-jiang, CHEN Wei-qiu

Affiliation(s):  Department of Mechanics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   wanghuiming@cmee.zju.edu.cn

Key Words:  Separation of variables method, Spherically symmetric, Thermoelastic, Hollow sphere


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WANG Hui-ming, DING Hao-jiang, CHEN Wei-qiu. Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems[J]. Journal of Zhejiang University Science A, 2003, 4(1): 8-12.

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Abstract: 
The separation of variables method was successfully used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere. Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads. Numerical results are presented to show the dynamic stress responses in the uniformly heated hollow spheres.

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Reference

[1]Hata, T., 1991a. Stress-focusing effect in a uniformly heated solid sphere. J. Appl. Mech., 58: 58-63.

[2]Hata, T., 1991b. Thermal shock in a hollow sphere caused by rapid uniform heating. J. Appl. Mech., 58: 64-69.

[3]Hata, T., 1993. Stress-focusing effect in a uniformly heated transversely isotropic sphere. Int. J. Solids Struct., 30: 1419-1428.

[4]Pao, Y. H. and Ceranoglu, A. N., 1978. Determination of transient responses of a thick-walled spherical shell by the ray theory. J. Appl. Mech., 45: 114-122.

[5]Tusi, T. and Kraus, H., 1965. Thermal stress-wave propagation in hollow elastic spheres. J. Acoust. Soc. Am., 37: 730-737.

[6]Wang, X., 2000. Dynamic thermostress-concentration effect in a spherically isotropic sphere. Acta Mechanica Sinica, 32: 245-250 (in Chinese).

[7]Zaker, T. A., 1968. Dynamic thermal shock in hollow sphere. Quart. Appl. Math., 26: 503-520.

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