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

2005 ◽  
Vol 21 (10) ◽  
pp. 545-552 ◽  
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

scholarly journals Exploring three-dimensional edge-based smoothed finite element method based on polyhedral mesh to study elastic mechanics problems

2021 ◽  
Vol 39 (4) ◽  
pp. 747-752
Author(s):  
Jian Yang ◽  
Wei Xie ◽  
Zhiwei Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Relative Error ◽  
Three Dimensional ◽  
Beam Model ◽  
Hexahedral Elements ◽  
Smoothed Finite Element Method ◽  
Polyhedral Mesh ◽  
Edge Based ◽  
Element Method

This paper established the three-dimensional edge-based smoothed finite element method(ES-FEM) based on polyhedral mesh, divided the smoothed domain, constructed the shape function and derived the geometric matrix and the stiffness matrix. The MATLAB software was used to prepare the corresponding computing programs, with which the paper studied the stress distribution of a hollow sphere model and a beam model under different numbers of polyhedral elements. The paper compared the calculation results from the conventional finite element methods(FEM) that use tetrahedral elements and hexahedral elements respectively in terms of stress relative error and energy relative error. The comparison results show that the three-dimensional ES-FEM based on polyhedral mesh has better precision and convergence than the conventional FEM and better adaptability to complex geometric structures.

Multistage Simulation by an Adaptive Finite Element Approach Using Structured Grids

1999 ◽  
Vol 121 (2) ◽  
pp. 450-459 ◽  
Author(s):  
M. Sleiman ◽  
A. Tam ◽  
M. P. Robichaud ◽  
M. F. Peeters ◽  
W. G. Habashi
Keyword(s):  
Experimental Data ◽  
Finite Element ◽  
Large Scale ◽  
Three Dimensional ◽  
Mesh Adaptation ◽  
Navier Stokes ◽  
Interface Plane ◽  
Adaptive Finite Element ◽  
Local Flow ◽  
Edge Based

This paper presents the application of a three-dimensional Navier-Stokes finite element code (NS3D) in the context of turbomachinery rotor-stator multistage interaction. A mixing-plane approach is used, in which boundary conditions at a common interface plane between adjacent blade rows are iteratively adjusted to yield a flow satisfying the continuity, momentum, and energy conservation equations, in an average sense. To further improve the solutions, a mesh adaptation technique then redistributes the mesh points of the structured grid within each component, according to an a posteriori edge-based error estimate based on the Hessian of the local flow solution. This matrix of second derivatives controls both the magnitude and direction of the required mesh movement at each node, is then implemented using an edge-based spring analogy. The methodology is demonstrated for two test cases with two types of data: a well-instrumented experimental large-scale rotating rig for a second stage compressor at UTRC and an actual engine. The latter, a two-stage compressor of a turboprop, has been only tested as a single-stage configuration, because of the quality of the experimental data available. All results compare well to the data and demonstrate the utility of the approach. In Particular, the mesh adaptation shows large improvements in agreement between the calculations and the experimental data.

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

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 86054-86063 ◽  
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

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

2018 ◽  
Vol 37 (14) ◽  
pp. 933-944 ◽  
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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