Analysis of an $hp$-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation

2012 ◽  
Vol 50 (3) ◽  
pp. 1801-1826 ◽  
Author(s):  
Tan Bui-Thanh ◽  
Omar Ghattas
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method

scholarly journals A coupled finite and boundary spectral element method for linear water-wave propagation problems

2017 ◽  
Vol 48 ◽  
pp. 1-20 ◽  
Author(s):  
Antonio Cerrato ◽  
Luis Rodríguez-Tembleque ◽  
José A. González ◽  
M.H. Ferri Aliabadi
Keyword(s):  
Wave Propagation ◽  
Water Wave ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method

scholarly journals Wave Propagation Analysis in Composite Laminates Containing a Delamination Using a Three-Dimensional Spectral Element Method

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Fucai Li ◽  
Haikuo Peng ◽  
Xuewei Sun ◽  
Jinfu Wang ◽  
Guang Meng
Keyword(s):  
Wave Propagation ◽  
Lamb Wave ◽  
Composite Laminates ◽  
Composite Structures ◽  
Spectral Element Method ◽  
Three Dimensional ◽  
Spectral Element ◽  
Wave Mode ◽  
Diagonal Form ◽  
Element Method

A three-dimensional spectral element method (SEM) was developed for analysis of Lamb wave propagation in composite laminates containing a delamination. SEM is more efficient in simulating wave propagation in structures than conventional finite element method (FEM) because of its unique diagonal form of the mass matrix. Three types of composite laminates, namely, unidirectional-ply laminates, cross-ply laminates, and angle-ply laminates are modeled using three-dimensional spectral finite elements. Wave propagation characteristics in intact composite laminates are investigated, and the effectiveness of the method is validated by comparison of the simulation results with analytical solutions based on transfer matrix method. Different Lamb wave mode interactions with delamination are evaluated, and it is demonstrated that symmetric Lamb wave mode may be insensitive to delamination at certain interfaces of laminates while the antisymmetric mode is more suited for identification of delamination in composite structures.

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