Abstract
Based on three-dimensional elasticity without making static and kinematic assumptions, an asymptotic theory is formulated for thermoelastic analysis of doubly curved laminated shells. The laminated shell is regarded as a heterogeneous shell with nonhomogeneous material properties in the thickness direction. The bending of the shell subjected to temperature variations through the thickness and under lateral loads is considered. Upon introducing a small perturbation parameter in the formulation and rearranging the three-dimensional equations in dimensionless forms, it is shown that the problem can be treated systematically by means of asymptotic expansions and successive integration. The classical laminated shell (CST) equations are derived as the leading-order approximation to the three-dimensional theory. The higher order corrections are determined by solving the CST equations in a consistent and hierarchic manner. Illustrative examples are given to demonstrate the performance of the theory.
| Original language | English |
|---|---|
| Pages (from-to) | 531-563 |
| Number of pages | 33 |
| Journal | Journal of Thermal Stresses |
| Volume | 19 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1996 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Condensed Matter Physics
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Thermoelastic analysis of doubly curved laminated shells. / Wu, Chih-Ping; Tarn, Jiann Quo; Yang, Kai Lin.
In: Journal of Thermal Stresses, Vol. 19, No. 6, 01.01.1996, p. 531-563.Research output: Contribution to journal › Article
TY - JOUR
T1 - Thermoelastic analysis of doubly curved laminated shells
AU - Wu, Chih-Ping
AU - Tarn, Jiann Quo
AU - Yang, Kai Lin
PY - 1996/1/1
Y1 - 1996/1/1
N2 - Based on three-dimensional elasticity without making static and kinematic assumptions, an asymptotic theory is formulated for thermoelastic analysis of doubly curved laminated shells. The laminated shell is regarded as a heterogeneous shell with nonhomogeneous material properties in the thickness direction. The bending of the shell subjected to temperature variations through the thickness and under lateral loads is considered. Upon introducing a small perturbation parameter in the formulation and rearranging the three-dimensional equations in dimensionless forms, it is shown that the problem can be treated systematically by means of asymptotic expansions and successive integration. The classical laminated shell (CST) equations are derived as the leading-order approximation to the three-dimensional theory. The higher order corrections are determined by solving the CST equations in a consistent and hierarchic manner. Illustrative examples are given to demonstrate the performance of the theory.
AB - Based on three-dimensional elasticity without making static and kinematic assumptions, an asymptotic theory is formulated for thermoelastic analysis of doubly curved laminated shells. The laminated shell is regarded as a heterogeneous shell with nonhomogeneous material properties in the thickness direction. The bending of the shell subjected to temperature variations through the thickness and under lateral loads is considered. Upon introducing a small perturbation parameter in the formulation and rearranging the three-dimensional equations in dimensionless forms, it is shown that the problem can be treated systematically by means of asymptotic expansions and successive integration. The classical laminated shell (CST) equations are derived as the leading-order approximation to the three-dimensional theory. The higher order corrections are determined by solving the CST equations in a consistent and hierarchic manner. Illustrative examples are given to demonstrate the performance of the theory.
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UR - http://www.scopus.com/inward/citedby.url?scp=0030246353&partnerID=8YFLogxK
U2 - 10.1080/01495739608946193
DO - 10.1080/01495739608946193
M3 - Article
AN - SCOPUS:0030246353
VL - 19
SP - 531
EP - 563
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
SN - 0149-5739
IS - 6
ER -