Thermoelastic analysis of doubly curved laminated shells

Chih-Ping Wu, Jiann Quo Tarn, Kai Lin Yang

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)531-563
Number of pages33
JournalJournal of Thermal Stresses
Volume19
Issue number6
DOIs
Publication statusPublished - 1996 Jan 1

Fingerprint

Elasticity
Materials properties
Kinematics
Temperature
kinematics
elastic properties
formulations
perturbation
expansion
approximation
Direction compound
temperature

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Wu, Chih-Ping ; Tarn, Jiann Quo ; Yang, Kai Lin. / Thermoelastic analysis of doubly curved laminated shells. In: Journal of Thermal Stresses. 1996 ; Vol. 19, No. 6. pp. 531-563.
@article{03efdf4bc098460eb8f620e1c102f2ab,
title = "Thermoelastic analysis of doubly curved laminated shells",
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.",
author = "Chih-Ping Wu and Tarn, {Jiann Quo} and Yang, {Kai Lin}",
year = "1996",
month = "1",
day = "1",
doi = "10.1080/01495739608946193",
language = "English",
volume = "19",
pages = "531--563",
journal = "Journal of Thermal Stresses",
issn = "0149-5739",
publisher = "Taylor and Francis Ltd.",
number = "6",

}

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 journalArticle

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.

UR - http://www.scopus.com/inward/record.url?scp=0030246353&partnerID=8YFLogxK

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 -