A Smart Triangular Finite Element with Drilling Degrees of Freedom

2010 ◽  
Author(s):  
M.A. Neto ◽  
R.P. Leal ◽  
W. Yu
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Triangular Finite Element ◽  
Drilling Degrees Of Freedom

223 A fundamental crack analysis using triangular finite element with drilling degrees of freedom

2007 ◽  
Vol 2007 (0) ◽  
pp. 93-94
Author(s):  
Shohei HASHIGUCHI ◽  
Yasuyuki KANDA ◽  
Kouchi TAMAKI ◽  
Shigeo IRAHA ◽  
Jun TOMIYAMA
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Triangular Finite Element ◽  
Crack Analysis ◽  
Drilling Degrees Of Freedom

scholarly journals FRACTURE MECHANICS PARAMETER COMPUTATION USING GENERALIZED FINITE ELEMENT WITH DRILLING DEGREES OF FREEDOM

2007 ◽  
Vol 63 (3) ◽  
pp. 464-474
Author(s):  
Yasuyuki KANDA ◽  
Hiroshi OKADA ◽  
Shigeo IRAHA ◽  
Jun TOMIYAMA ◽  
Genki YAGAWA
Keyword(s):  
Finite Element ◽  
Fracture Mechanics ◽  
Degrees Of Freedom ◽  
Drilling Degrees Of Freedom ◽  
Generalized Finite Element

A highly efficient membrane finite element with drilling degrees of freedom

2010 ◽  
Vol 213 (3-4) ◽  
pp. 323-348 ◽  
Author(s):  
Stephan Kugler ◽  
Peter A. Fotiu ◽  
Justin Murin
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Highly Efficient ◽  
Drilling Degrees Of Freedom

A NOVEL TRIANGULAR FINITE ELEMENT PARTITION METHOD FOR FRACTURE SIMULATION WITHOUT ENRICHMENT OF INTERPOLATION

2013 ◽  
Vol 10 (04) ◽  
pp. 1350015 ◽  
Author(s):  
ZHENNAN ZHANG ◽  
DEYONG WANG ◽  
XIURUN GE
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Interpolation Method ◽  
Equation System ◽  
Least Square ◽  
Displacement Discontinuity ◽  
Quadrilateral Element ◽  
Triangular Finite Element ◽  
Fracture Simulation ◽  
Partition Method

A novel 3-node triangular finite element partition method is proposed for fracture simulation. By this method, the crack is directly embedded into the element without any enrichment of interpolation, avoiding the treatment of displacement discontinuity and remeshing. Thus, no extra degrees of freedom are introduced into the equation system. It is done by subdividing the cracked element into a sub-triangular and a sub-quadrilateral element. The deformation field of each sub-element is associated with its adjacent nodes at the same side of crack via least square interpolation method. To represent the contact behaviors of crack faces, a sub-joint element is used to join the sub-triangular and sub-quadrilateral element. The final stiffness matrix of the cracked element is obtained by composing the three sub-element stiffness matrixes together. The simulation results suggest that the present method is validated, simple and efficient.

Efficacy of Drilling Degrees of Freedom in the Finite Element Modeling of P-and SV-Wave Scattering Problems

2000 ◽  
Vol 16 (2) ◽  
pp. 103-108 ◽  
Author(s):  
Jaehwan Kim ◽  
Vasundara V. Varadan ◽  
Vijay K. Varadan
Keyword(s):  
Finite Element ◽  
Wave Scattering ◽  
Degrees Of Freedom ◽  
Transverse Component ◽  
P Wave ◽  
Infinite Domain ◽  
Scattering Problems ◽  
Hybrid Finite Element Method ◽  
Infinite Domains ◽  
Drilling Degrees Of Freedom

ABSTRACTThis paper deals with a hybrid finite element method for wave scattering problems in infinite domains. Scattering of waves involving complex geometries, in conjunction with infinite domains is modeled by introducing a mathematical boundary within which a finite element representation is employed. On the mathematical boundary, the finite element representation is matched with a known analytical solution in the infinite domain in terms of fields and their derivatives. The derivative continuity is implemented by using a slope constraint. Drilling degrees of freedom at each node of the finite element model are introduced to make the numerical model more sensitive to the transverse component of the elastodynamic field. To verify the effects of drilling degrees freedom and slope constraints individually, reflection of normally incident P and SV waves on a traction free half space is considered. For P-wave incidence, the results indicate that the use of a slope constraint is more effective because it suppresses artificial reflection at the mathematical boundary. For the SV-wave case, the use of drilling degrees of freedom is effective in reducing numerical error at the irregular frequencies.

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