scholarly journals A simple procedure for generating locally refined 2D quadrilateral finite element meshes of gears

2021 ◽  
Vol 157 ◽  
pp. 104185
Author(s):  
Victor Roda-Casanova ◽  
Francisco Sanchez-Marin
Keyword(s):  
Finite Element ◽  
Simple Procedure ◽  
Finite Element Meshes ◽  
Quadrilateral Finite Element

Topological improvement procedures for quadrilateral finite element meshes

1998 ◽  
Vol 14 (2) ◽  
pp. 168-177 ◽  
Author(s):  
S. A. Canann ◽  
S. N. Muthukrishnan ◽  
R. K. Phillips
Keyword(s):  
Finite Element ◽  
Finite Element Meshes ◽  
Quadrilateral Finite Element ◽  
Improvement Procedures

A metal‐forming approach to automatic generation of graded initial quadrilateral finite element meshes

1998 ◽  
Vol 15 (5) ◽  
pp. 577-587 ◽  
Author(s):  
S.B. Petersen ◽  
B.P.P.A. Gouveia ◽  
J.M.C. Rodrigues ◽  
P.A.F. Martins
Keyword(s):  
Finite Element ◽  
Metal Forming ◽  
Automatic Generation ◽  
Finite Element Meshes ◽  
Quadrilateral Finite Element

Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

2015 ◽  
Vol 8 (4) ◽  
pp. 582-604
Author(s):  
Zhengqin Yu ◽  
Xiaoping Xie
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Stability Result ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Discrete Scheme ◽  
Fully Discrete ◽  
Quadrilateral Finite Element ◽  
Hybrid Stress Finite Element ◽  
Hybrid Stress

AbstractThis paper proposes and analyzes semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. A hybrid stress quadrilateral finite element approximation is used in the space directions. A second-order center difference is adopted in the time direction for the fully discrete scheme. Error estimates of the two schemes, as well as a stability result for the fully discrete scheme, are derived. Numerical experiments are done to verify the theoretical results.

scholarly journals Explicit Dynamic Finite Element Method for Failure with Smooth Fracture Energy Dissipations

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jeong-Hoon Song ◽  
Thomas Menouillard ◽  
Alireza Tabarraei
Keyword(s):  
Finite Element ◽  
Fracture Energy ◽  
Computational Cost ◽  
Quadrature Rule ◽  
Dynamic Failure ◽  
Structural Dynamic ◽  
Integration Schemes ◽  
Hourglass Control ◽  
Quadrilateral Finite Element ◽  
Explicit Dynamic

A numerical method for dynamic failure analysis through the phantom node method is further developed. A distinct feature of this method is the use of the phantom nodes with a newly developed correction force scheme. Through this improved approach, fracture energy can be smoothly dissipated during dynamic failure processes without emanating noisy artifact stress waves. This method is implemented to the standard 4-node quadrilateral finite element; a single quadrature rule is employed with an hourglass control scheme in order to decrease computational cost and circumvent difficulties associated with the subdomain integration schemes for cracked elements. The effectiveness and robustness of this method are demonstrated with several numerical examples. In these examples, we showed the effectiveness of the described correction force scheme along with the applicability of this method to an interesting class of structural dynamic failure problems.

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