An efficient assumed strain triangular solid element tailored for shell analysis

1998 ◽  
Author(s):  
Jong Kim ◽  
Yong Kim ◽  
Sung Lee
2001 ◽  
Author(s):  
Hoon C. Park ◽  
Sangki Lee ◽  
Byung C. Cho ◽  
Kwang J. Yoon ◽  
Nam Seo Goo

2004 ◽  
Vol 15 (5) ◽  
pp. 329-338 ◽  
Author(s):  
Sangki Lee ◽  
Byung C. Cho ◽  
Hoon C. Park ◽  
Nam S. Goo ◽  
Kwang J. Yoon

Author(s):  
Jacob Fish ◽  
Ravi Guttal

Abstract Research efforts aimed at optimizing the computational efficiency of the p-method are described. These include (i) a novel quadrature scheme for hierarchical shell elements, (ii) a family of assumed strain hierarchical shell elements, (iii) selective polynomial order escalation for assumed strain elements, and (iv) accelerated multi-grid-like solution procedures. Numerical experiments indicate that with these enhancements it is possible to speed up the overall computational time of p-method for analysis of shells by a factor greater than three for relatively small problems (less than 10,000 degrees of freedom), while computational savings for larger problems are even more significant. It has been found that the performance of the enhanced variant of the p-method for shells is comparable to that of the h-method for low accuracy requirements, and better if higher accuracies are desired.


2004 ◽  
Vol 261-263 ◽  
pp. 283-288 ◽  
Author(s):  
Hoon Cheol Park ◽  
Jung Park ◽  
Nam Seo Goo ◽  
Kwang Joon Yoon ◽  
Jae Hwa Lee

Low-velocity impact on composite sandwich panels has been investigated. The contact force is computed from a proposed modified Hertzian contact law. In the proposed contact law, the exponent is adjusted and the through-the-thickness elastic constant of honeycomb core is reduced properly to approximately predict the measured contact force-time history during the impact. The equivalent transverse elastic constant is calculated from the rule of mixture. Nonlinear equation to calculate the contact force is solved by the Newton-Raphson method and time integration is done by the Newmark-beta method. A finite element program for the low-velocity impact analysis is coded by implementing these techniques and an 18-node assumed strain solid element. Behaviors of composite sandwich panels subjected to low-velocity impact are analyzed for various cases with different geometry and lay-ups. It has been found that the present code with the proposed contact law can predict measured contact forces and contact times for most cases within reasonable error bounds, especially for thick sandwich plates.


2002 ◽  
Vol 75 (1-3) ◽  
pp. 174-177 ◽  
Author(s):  
Sangki Lee ◽  
Byung Chan Cho ◽  
Hoon Cheol Park ◽  
Kwang Joon Yoon ◽  
Nam Seo Goo
Keyword(s):  

Author(s):  
K. Y. Sze

Abstract In this paper, hybrid stress method is employed to formulate stabilization vectors for the uniformly reduced integrated eighteen-node solid elements. The assumed stress is contravariant in nature and is devised based on the strain associated with the commutable zero energy modes of a geometrically regular element. It will be seen that the stabilization vectors can be derived and programmed explicitly without resorting to numerical integration loops. Admissible matrix formulation is employed in evaluating the flexibility matrix and the resulting matrix is diagonal in nature.


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