Wave Propagation Analysis of Functionally Graded Material Structures Using Time-Domain Spectral Element

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (13) : 18-23.

XU Chao WANG Teng

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Abstract

A new arbitrary quadrangular Gauss-Lobatto-Legendre time-domain spectral element was established, considering spatially continuous variation of material property of functionally graded material structures in the macroscopic sense. The variation of material property was modeled by the uniformed model, layer-wise model and continuous material model, respectively. Wave dynamic response in functionally graded structure under a central impact load was studied. The proposed element was verified through comparisons to the analytical solution of reference literature. Characteristics of high-frequency guided wave propagation in planar functionally graded material structures were investigated. Numerical Results demonstrate that uniformed model fails to describe the wave field behavior in the graded material structure. There are obvious differences about Amplitude of wave response, phase and phase velocity calculated by layer-wise model and continuous model. Continuous model can simulate the spatially variation of material property better. Symmetry longitudinal wave and asymmetry transverse wave doesn’t disperse obviously, while symmetry transverse wave disperse obviously.

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functionally graded material, elastic wave, spectral element, time-domain response /

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XU Chao WANG Teng . Wave Propagation Analysis of Functionally Graded Material Structures Using Time-Domain Spectral Element[J]. Journal of Vibration and Shock, 2015, 34(13): 18-23

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