scholarly journals An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields

2021 ◽  
Author(s):  
Jian Zhang ◽  
Alejandro M. Aragón
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Recovery ◽  
Element Analysis ◽  
Gradient Fields ◽  
Recovery Technique

3404 A study on error evaluation and stress recovery for finite element analysis in initial design stage

2012 ◽  
Vol 2012.22 (0) ◽  
pp. _3404-1_-_3404-6_
Author(s):  
Yoshifumi UESHIGE ◽  
Teruhiko TANIMINE ◽  
Mitsuru KITAMURA ◽  
Akihiro TAKEZAWA ◽  
Atsushi KITAGUCHI ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Design Stage ◽  
Stress Recovery ◽  
Error Evaluation ◽  
Element Analysis ◽  
Initial Design

scholarly journals Improvement of the Zienkiewicz–Zhu Error Recovery Technique Using a Patch Configuration

2021 ◽  
Vol 11 (17) ◽  
pp. 8120
Author(s):  
Mohd. Ahmed ◽  
Devinder Singh ◽  
Saeed AlQadhi ◽  
Majed A. Alrefae
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Field ◽  
Error Recovery ◽  
Problem Solution ◽  
Adaptive Finite Element ◽  
Element Analysis ◽  
Deformation Problem ◽  
Recovery Technique ◽  
Patch Configuration

The Zienkiewicz–Zhu (ZZ) super-convergent patch recovery technique based on a node neighborhood patch configuration is used most widely for recovery of the stress field of a finite element analysis. In this study, an improved ZZ recovery technique using element neighborhood patch configuration is proposed. The improved recovery procedure is based on recovery of the stress field in the least-squares sense over an element patch that consists of the union of the elements surrounding the element under consideration. The proposed patch configuration provides more sampling points and improves the performance of the standard ZZ recovery technique. The effectiveness and reliability of the improved ZZ recovery approach is demonstrated through plane elastic and plastic plate problems. The problem domain is discretized with triangular and quadrilateral elements of different sizes. A comparison of the quality of error estimation using the ZZ recovery of derivative field and recovery of the displacement field using similar element neighborhood patch configurations is also presented. The numerical results show that the ZZ recovery technique and the displacement recovery technique, using a modified patch configuration, yield better results, convergence rate, and effectivity as compared with the standard ZZ super-convergent patch recovery technique. It is concluded that the improved ZZ recovery technique-based adaptive finite element analysis is very effective for converging a predefined accuracy with a significantly smaller number of degrees of freedom, especially in an elastic problem. It is also concluded that the improved ZZ recovery technique captures the plastic deformation problem solution errors more reliably than the standard ZZ recovery technique.

Finite element analysis on dental implant[ndash ]supported prostheses without passive fit

2002 ◽  
Vol 11 (1) ◽  
pp. 30-40 ◽  
Author(s):  
Chatchai Kunavisarut ◽  
Lisa A. Lang ◽  
Brian R. Stoner ◽  
David A. Felton
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dental Implant ◽  
Element Analysis ◽  
Passive Fit
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