期刊论文

Huang, T.;Wen, P. H.

英文

JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN

0309-3247

2017

52

7

422-433

10.1177/0309324717724010

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This study was partially supported by the Natural and Science Foundation Council of China (to J. L., no. 11301040) and the Science Research Fund of Hunan Provincial Education Department (to J. L., no. 17B003), and also partially supported by the National Natural Science Foundation of China (to T.H., no. 51608055).

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In this article, the fundamental solutions for anti-plane elasticity are derived using the Fourier transform and the Laplace transform techniques, with the shear modulus and the mass density varying exponentially for functionally graded materials. It has been shown that the transformed fundamental solutions both in the Laplace space and in the time domain have the same order of singularities as that in the static case. The time-dependent variables including the displacement and the shear stresses for anti-plane elasticity are obtained with Durb...