Generalized coupled transient thermoelastic problem of a square cylinder with elliptical hole by laplace transform/finite-element method

Tei-Chen Chen, C. Weng

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A general finite-element model is proposed to deal with dynamic transient response in a square cylinder with an elliptical hole by generalized coupled thermoelastic theory, especially for a long transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite-element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time can be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency, and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on solutions are investigated and discussed.

Original languageEnglish
Pages (from-to)305-320
Number of pages16
JournalJournal of Thermal Stresses
Volume12
Issue number3
DOIs
Publication statusPublished - 1989 Jan 1

Fingerprint

Laplace transforms
finite element method
Finite element method
transient response
versatility
dynamic response
Transient analysis
inertia
Relaxation time
relaxation time

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

@article{9829bc38ccba43cc965878a02fc554b0,
title = "Generalized coupled transient thermoelastic problem of a square cylinder with elliptical hole by laplace transform/finite-element method",
abstract = "A general finite-element model is proposed to deal with dynamic transient response in a square cylinder with an elliptical hole by generalized coupled thermoelastic theory, especially for a long transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite-element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time can be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency, and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on solutions are investigated and discussed.",
author = "Tei-Chen Chen and C. Weng",
year = "1989",
month = "1",
day = "1",
doi = "10.1080/01495738908961969",
language = "English",
volume = "12",
pages = "305--320",
journal = "Journal of Thermal Stresses",
issn = "0149-5739",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - Generalized coupled transient thermoelastic problem of a square cylinder with elliptical hole by laplace transform/finite-element method

AU - Chen, Tei-Chen

AU - Weng, C.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - A general finite-element model is proposed to deal with dynamic transient response in a square cylinder with an elliptical hole by generalized coupled thermoelastic theory, especially for a long transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite-element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time can be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency, and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on solutions are investigated and discussed.

AB - A general finite-element model is proposed to deal with dynamic transient response in a square cylinder with an elliptical hole by generalized coupled thermoelastic theory, especially for a long transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite-element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time can be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency, and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on solutions are investigated and discussed.

UR - http://www.scopus.com/inward/record.url?scp=0024861851&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024861851&partnerID=8YFLogxK

U2 - 10.1080/01495738908961969

DO - 10.1080/01495738908961969

M3 - Article

VL - 12

SP - 305

EP - 320

JO - Journal of Thermal Stresses

JF - Journal of Thermal Stresses

SN - 0149-5739

IS - 3

ER -