Abstract
The hybrid application of the Laplace transform technique and the finite element method to the transient temperature response of multilayered composites is no longer restricted to linear boundary conditions, but is extended to include nonlinear radiation boundary conditions. In the hybrid method, the time-dependent terms are removed from the problem by the application of the Laplace transform and then the transformed system is solved using the finite element method. The transformed temperature is inverted numerically to obtain the result in the physical quantity. It is found that the temperature distribution of the multilayered slabs at a specific time can be obtained for the most general type of linear or nonlinear boundary conditions. The present solutions show a good accuracy. It is noteworthy that the present method can improve the drawback that the inversion of the Laplace transform is very involved for problems of composite slabs with more than two layers.
| Original language | English |
|---|---|
| Pages (from-to) | 451-458 |
| Number of pages | 8 |
| Journal | Computers and Structures |
| Volume | 39 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1991 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications
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Application of the hybrid method to transient heat conduction in one-dimensional composite layers. / Chen, Han-Taw; Lin, J. Y.
In: Computers and Structures, Vol. 39, No. 5, 01.01.1991, p. 451-458.Research output: Contribution to journal › Article
TY - JOUR
T1 - Application of the hybrid method to transient heat conduction in one-dimensional composite layers
AU - Chen, Han-Taw
AU - Lin, J. Y.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - The hybrid application of the Laplace transform technique and the finite element method to the transient temperature response of multilayered composites is no longer restricted to linear boundary conditions, but is extended to include nonlinear radiation boundary conditions. In the hybrid method, the time-dependent terms are removed from the problem by the application of the Laplace transform and then the transformed system is solved using the finite element method. The transformed temperature is inverted numerically to obtain the result in the physical quantity. It is found that the temperature distribution of the multilayered slabs at a specific time can be obtained for the most general type of linear or nonlinear boundary conditions. The present solutions show a good accuracy. It is noteworthy that the present method can improve the drawback that the inversion of the Laplace transform is very involved for problems of composite slabs with more than two layers.
AB - The hybrid application of the Laplace transform technique and the finite element method to the transient temperature response of multilayered composites is no longer restricted to linear boundary conditions, but is extended to include nonlinear radiation boundary conditions. In the hybrid method, the time-dependent terms are removed from the problem by the application of the Laplace transform and then the transformed system is solved using the finite element method. The transformed temperature is inverted numerically to obtain the result in the physical quantity. It is found that the temperature distribution of the multilayered slabs at a specific time can be obtained for the most general type of linear or nonlinear boundary conditions. The present solutions show a good accuracy. It is noteworthy that the present method can improve the drawback that the inversion of the Laplace transform is very involved for problems of composite slabs with more than two layers.
UR - http://www.scopus.com/inward/record.url?scp=0025839397&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0025839397&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(91)90053-O
DO - 10.1016/0045-7949(91)90053-O
M3 - Article
VL - 39
SP - 451
EP - 458
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 5
ER -