Hybrid graded element model for transient heat conduction in functionally graded materials
Date
2012
Authors
CAO, Leilei
Qin, Qing Hua
Zhao, Ning
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Publisher
Springer
Abstract
This paper presents a hybrid graded element model for the transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to handle the time variable. Then, a fundamental solution in Laplace space for FGMs is constructed. Next, a hybrid graded element is formulated based on the obtained fundamental solution and a frame field. As a result, the graded properties of FGMs are naturally reflected by using the fundamental solution to interpolate the intra-element field. Further, Stefest's algorithm is employed to convert the results in Laplace space back into the time-space domain. Finally, the performance of the proposed method is assessed by several benchmark examples. The results demonstrate well the efficiency and accuracy of the proposed method.
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Keywords
Keywords: A-frames; Fundamental solutions; Hybrid FEM; Laplace space; Time variable; Time-space; Transient heat conduction; Benchmarking; Heat conduction; Laplace transforms; Functionally graded materials Functionally graded materials; Graded element model; Hybrid FEM; Transient heat conduction
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Source
Acta Mechanica Sinica
Type
Journal article
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2037-12-31
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