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 language | English |
|---|---|
| Pages (from-to) | 305-320 |
| Number of pages | 16 |
| Journal | Journal of Thermal Stresses |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1989 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Condensed Matter Physics
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Generalized coupled transient thermoelastic problem of a square cylinder with elliptical hole by laplace transform/finite-element method. / Chen, Tei-Chen; Weng, C.
In: Journal of Thermal Stresses, Vol. 12, No. 3, 01.01.1989, p. 305-320.Research output: Contribution to journal › Article
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.
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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 -