Spectral finite element method for efficient simulation of nonlinear interactions between Lamb waves and breathing cracks within the bi-potential framework

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2021.106954 ◽

2021 ◽

pp. 106954

Author(s):

Huijian Chen ◽

Zhiqiang Feng ◽

Yuehao Du ◽

Qianwei Chen ◽

Hongchen Miao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonlinear Interactions ◽

Efficient Simulation ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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A Hybrid Spectral/Finite Element Method for Accurate and Efficient Modelling of Crack-Induced Contact Acoustic Nonlinearity

Journal of Sound and Vibration ◽

10.1016/j.jsv.2021.116198 ◽

2021 ◽

pp. 116198

Author(s):

Feilong Li ◽

Fangxin Zou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Acoustic Nonlinearity ◽

Spectral Finite Element Method ◽

Contact Acoustic Nonlinearity ◽

Spectral Finite Element ◽

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A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.12.023 ◽

2011 ◽

Vol 230 (7) ◽

pp. 2496-2522 ◽

Author(s):

Zupeng Jia ◽

Shudao Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Gas Dynamics ◽

Two Dimensions ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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Vibration analysis of cracked Timoshenko beam under moving load with constant velocity and acceleration by spectral finite element method

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2017.01.035 ◽

2017 ◽

Vol 122 ◽

pp. 318-330 ◽

Author(s):

Vahid Sarvestan ◽

Hamid Reza Mirdamadi ◽

Mostafa Ghayour

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Timoshenko Beam ◽

Constant Velocity ◽

Vibration Analysis ◽

Moving Load ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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An iterative domain decomposition, spectral finite element method on non-conforming meshes suitable for high frequency Helmholtz problems

Journal of Computational Physics ◽

10.1016/j.jcp.2018.11.016 ◽

2019 ◽

Vol 379 ◽

pp. 132-172 ◽

Author(s):

Ryan Galagusz ◽

Steve McFee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Domain Decomposition ◽

High Frequency ◽

Spectral Finite Element Method ◽

Conforming Meshes ◽

Spectral Finite Element ◽

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Accurate modeling of PZT-induced Lamb wave propagation in structures by using a novel spectral finite element method

Smart Materials and Structures ◽

10.1088/0964-1726/23/9/095018 ◽

2014 ◽

Vol 23 (9) ◽

pp. 095018 ◽

Author(s):

Luyao Ge ◽

Xinwei Wang ◽

Feng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Lamb Wave ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

Lamb Wave Propagation ◽

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Free vibration of stepped thickness rectangular plates using spectral finite element method

Journal of Sound and Vibration ◽

10.1016/j.jsv.2013.03.008 ◽

2013 ◽

Vol 332 (18) ◽

pp. 4324-4338 ◽

Author(s):

Gang Wang ◽

Ahmet Unal

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Rectangular Plates ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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A combined spectral-finite element method for a type of nonlinear two-dimensional Schrödinger equations

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/48 ◽

1996 ◽

pp. 527-531

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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Modal pencil method for the radiation of guided wave fields in finite isotropic plates validated by a transient spectral finite element method

Ultrasonics ◽

10.1016/j.ultras.2020.106078 ◽

2020 ◽

Vol 103 ◽

pp. 106078

Author(s):

Jordan Barras ◽

Alain Lhémery ◽

Alexandre Impériale

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Guided Wave ◽

Wave Fields ◽

Isotropic Plates ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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3D Stochastic Spectral Finite Element Method in static electromagnetism using vector potential formulation

Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation ◽

10.1109/cefc.2010.5481525 ◽

2010 ◽

Author(s):

K. Beddek ◽

Y. Le Menach ◽

S. Clenet ◽

O. Moreau

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Vector Potential ◽

Potential Formulation ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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A mortar spectral/finite element method for complex 2D and 3D elastodynamic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00294-3 ◽

2002 ◽

Vol 191 (45) ◽

pp. 5119-5148 ◽

Author(s):

F. Casadei ◽

E. Gabellini ◽

G. Fotia ◽

F. Maggio ◽

A. Quarteroni

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

2D And 3D ◽

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