Explicit finite element perfectly matched layer for transient three-dimensional elastic waves

The scattering treated here arises when elastic waves propagate within a heterogeneous medium defined by random spatial fluctuation of its elastic properties. Whereas classical analytical studies are based on lower-order scattering assumptions, numerical methods conversely present no such limitations by inherently incorporating multiple scattering. Until now, studies have typically been limited to two or one dimension, however, owing to computational constraints. This article seizes recent advances to realize a finite-element formulation that solves the three-dimensional elastodynamic scattering problem. The developed methodology enables the fundamental behaviour of scattering in terms of attenuation and dispersion to be studied. In particular, the example of elastic waves propagating within polycrystalline materials is adopted, using Voronoi tessellations to randomly generate representative models. The numerically observed scattering is compared against entirely independent but well-established analytical scattering theory. The quantitative agreement is found to be excellent across previously unvisited scattering regimes; it is believed that this is the first quantitative validation of its kind which provides significant support towards the existence of the transitional scattering regime and facilitates future deployment of numerical methods for these problems.

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Edge-based adaptive implicit/explicit finite element procedures for three-dimensional transport problems

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.767 ◽

2005 ◽

Vol 21 (10) ◽

pp. 545-552 ◽

Cited By ~ 2

Author(s):

D. A. F. Souza ◽

M. A. D. Martins ◽

A. L. G. A. Coutinho

Keyword(s):

Finite Element ◽

Three Dimensional ◽

Explicit Finite Element ◽

Edge Based ◽

Transport Problems

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Three-Dimensional Numerical Simulation of Rock Breaking by the Tipped Hob Cutter Based on Explicit Finite Element

IEEE Access ◽

10.1109/access.2019.2925427 ◽

2019 ◽

Vol 7 ◽

pp. 86054-86063 ◽

Cited By ~ 4

Author(s):

Xiukun Hu ◽

Changlong Du ◽

Songyong Liu ◽

Hao Tan ◽

Zhiqiang Liu

Keyword(s):

Numerical Simulation ◽

Finite Element ◽

Three Dimensional ◽

Rock Breaking ◽

Explicit Finite Element

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Bearing failure of single-/double-shear composite bolted joints: An explicit finite element modeling

Journal of Reinforced Plastics and Composites ◽

10.1177/0731684418772355 ◽

2018 ◽

Vol 37 (14) ◽

pp. 933-944 ◽

Cited By ~ 2

Author(s):

Fangzhou Lu ◽

Deng’an Cai ◽

Ju Tang ◽

Wenlong Li ◽

Jian Deng ◽

...

Keyword(s):

Finite Element ◽

Composite Laminates ◽

Failure Modes ◽

Three Dimensional ◽

Bolted Joints ◽

Bearing Failure ◽

Fiber Failure ◽

Explicit Finite Element ◽

Double Shear ◽

Propagation Law

A three-dimensional explicit finite element method was presented to investigate the bearing failure of single- and double-shear composite bolted joints. To predict the various failure modes of composite laminates, three-dimensional solid elements accompanied by mixed-mode failure criteria considering nonlinear shear behavior were employed in the model. A linear damage propagation law based on the fracture energy and the characteristic length was adopted to alleviate the mesh dependency. In addition, reduced integration elements were used in the models of single- and double-shear joints to avoid the overstiffness. The simulated models were implemented in the Abaqus/Explicit solver with a user-defined material subroutine. The numerical analysis run successfully without any convergence issues. The predictions of mechanical behavior agreed well with the experimental results, with typical damages in the laminates including matrix crack and fiber failure. The effect of secondary bending in the single-shear bolted joint was also analyzed in the explicit modeling.

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