Explicit finite element methods with contact-impact on SIMD computers

1991 ◽  
Vol 2 (2-3) ◽  
pp. 269-276 ◽  
Author(s):  
T. Belytschko ◽  
E.J. Plaskacz ◽  
H.-Y. Chiang
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Explicit Finite Element ◽  
Contact Impact ◽  
Simd Computers

Implicit and Explicit Finite Element Methods for Crash Safety Analysis

2007 ◽  
Author(s):  
J. Michael Chang ◽  
Tau Tyan ◽  
Marwan El-bkaily ◽  
James Cheng ◽  
Amar Marpu ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Safety Analysis ◽  
Explicit Finite Element ◽  
Crash Safety ◽  
Implicit And Explicit

Periodic Symmetry for Explicit Methods for Large Deformation Twisting and Stretching

2003 ◽  
Author(s):  
Don R. Metzger
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Finite Element Methods ◽  
Dynamic Equilibrium ◽  
Explicit Methods ◽  
Element Formulation ◽  
Kinematic Constraints ◽  
Explicit Finite Element ◽  
Internal Forces ◽  
External Forces

The presence of repetitive symmetry in continua and structures allows for the modeling of a single symmetric cell. Typically, the symmetry conditions are enforced with homogeneous kinematic constraints, but these may preclude some otherwise admissible response. Also, in large deformation situations, the original symmetric boundaries can distort significantly. The objective of this work is to provide a means for explicit finite element methods to ensure periodic symmetry while resultant loads may be prescribed on the symmetric boundaries. A method is devised to determine external forces that concurrently maintain dynamic equilibrium of the system with compatible deformations at the boundaries. The method requires only internal forces and nodal positions, which are accessible in an explicit finite element formulation.

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