Shape Functions for Scalar and Vector Finite Elements

2009 ◽  
Keyword(s):  
Finite Elements ◽  
Shape Functions ◽  
Vector Finite Elements

Shape functions and the accuracy of arch finite elements.

AIAA Journal ◽  
1973 ◽  
Vol 11 (3) ◽  
pp. 287-291 ◽  
Author(s):  
ISAAC FRIED
Keyword(s):  
Finite Elements ◽  
Shape Functions

A study of mixed-mode composite delamination using enriched interface elements

2013 ◽  
Vol 117 (1195) ◽  
pp. 959-967
Author(s):  
I. Guiamatsia ◽  
J. K. Ankersen ◽  
L. Iannucci
Keyword(s):  
Finite Elements ◽  
Analytical Solution ◽  
Elastic Foundation ◽  
Displacement Field ◽  
Mixed Mode ◽  
Crack Tip ◽  
Shape Functions ◽  
Interface Elements ◽  
Minimum Element ◽  
Element Size

Abstract This paper examines the performance of enriching the shape functions of interface finite elements in the prediction of mixed-mode delamination. Enriching second-order interface and solid elements with the analytical solution of a beam on elastic foundation problem yields the correct displacement field ahead of the crack tip. Despite the enrichment being fixed at elements nodes, resulting in non-traceability of the crack tip location, the strategy is shown to perform consistently well, increasing the minimum element size from the typical 0·5mm to 5mm, for a range of classical mixed-mode bending (MMB) specimens.

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