Full Text:   <2631>

CLC number: O343.6

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 5

Clicked: 4712

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

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


Share this article to: More

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.

@article{title="Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems",
author="WANG Hui-ming, DING Hao-jiang, CHEN Wei-qiu",
journal="Journal of Zhejiang University Science A",
volume="4",
number="1",
pages="8-12",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0008"
}

%0 Journal Article
%T Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems
%A WANG Hui-ming
%A DING Hao-jiang
%A CHEN Wei-qiu
%J Journal of Zhejiang University SCIENCE A
%V 4
%N 1
%P 8-12
%@ 1869-1951
%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0008

TY - JOUR
T1 - Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems
A1 - WANG Hui-ming
A1 - DING Hao-jiang
A1 - CHEN Wei-qiu
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 1
SP - 8
EP - 12
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2003.0008


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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE