Numerical modeling of wave propagation in functionally graded materials using time-domain spectral Chebyshev elements

DOI10.1016/j.jcp.2013.10.037zbMath1349.74199OpenAlexW1969121442MaRDI QIDQ348597

Tinh Quoc Bui, Chee Wah Lim, Saeid Hedayatrasa, Chuan-Zeng Zhang

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.10.037

zbMATH Keywords

finite element methodChebyshev polynomialsfunctionally graded materialsLamb wave propagationspectral finite element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements
• A spectrally formulated finite element for wave propagation analysis in functionally graded beams.
• Numerical simulation of two-dimensional wave propagation in functionally graded materials.
• A new beam finite element for the analysis of functionally graded materials.
• A higher-order spectral element for wave propagation analysis in functionally graded materials
• Practical aspects of numerical time integration
• Dynamic characterization of layered and graded structures under impulsive loading.