CAO, LeileiQin, Qing HuaZhao, Ning2015-12-100567-7718http://hdl.handle.net/1885/66260This 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.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 conduction201210.1007/s10409-011-0543-82016-02-24