A stabilization technique for the regularization of nearly singular extended finite elements

2014 ◽  
Vol 54 (2) ◽  
pp. 523-533 ◽  
Author(s):  
Stefan Loehnert
Keyword(s):  
Finite Elements ◽  
Stabilization Technique

PARTIAL SELECTIVE REDUCED INTEGRATION SCHEMES AND KINEMATICALLY LINKED INTERPOLATIONS FOR PLATE BENDING PROBLEMS

1999 ◽  
Vol 09 (05) ◽  
pp. 693-722 ◽  
Author(s):  
FERDINANDO AURICCHIO ◽  
CARLO LOVADINA
Keyword(s):  
Finite Elements ◽  
Stability And Convergence ◽  
Mindlin Plate ◽  
Plate Bending ◽  
Numerical Tests ◽  
Integration Schemes ◽  
Bending Problems ◽  
Analysis Of Stability ◽  
Stabilization Technique ◽  
Selective Reduced Integration

Some finite elements for the approximation to the solution of the Reissner–Mindlin plate problem are presented. All of them take advantage of a stabilization technique recently proposed by Arnold and Brezzi. Moreover, a kinematically linked interpolation approach has been used to improve the convergence features. A general theoretical analysis of stability and convergence is also provided, together with extensive numerical tests.

scholarly journals UPDATED LAGRANGIAN FORMULATION FOR CORRECTED SMOOTH PARTICLE HYDRODYNAMICS

2006 ◽  
Vol 03 (04) ◽  
pp. 383-399 ◽  
Author(s):  
ANTONIO HUERTA ◽  
YOLANDA VIDAL ◽  
JAVIER BONET
Keyword(s):  
Finite Elements ◽  
Lagrangian Formulation ◽  
Smooth Particle Hydrodynamics ◽  
Improved Method ◽  
Zero Energy ◽  
Particle Hydrodynamics ◽  
Large Distortion ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian ◽  
Stabilization Technique

Smooth Particle Hydrodynamics (SPH) are, in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may be necessary in some problems involving extremely large distortions. If a standard updated formulation is implemented in SPH zero energy modes are activated and spoil the solution. It is important to note that the updated Lagrangian does not present tension instability but only zero energy modes. Here an stabilization technique is incorporated to the updated formulation to obtain an improved method without mechanisms.

Finite elements-boundary elements coupling for the movement modeling in two-dimensional structures

1992 ◽  
Vol 2 (11) ◽  
pp. 2035-2044 ◽  
Author(s):  
A. Nicolet ◽  
F. Delincé ◽  
A. Genon ◽  
W. Legros
Keyword(s):  
Finite Elements ◽  
Boundary Elements ◽  
Two Dimensional
Sign in / Sign up

Export Citation Format

Share Document