Some Crack Tip Finite Elements for Plane Elasticity

2009 ◽  
pp. 90-90-16 ◽  
Author(s):  
WK Wilson
Keyword(s):  
Finite Elements ◽  
Crack Tip ◽  
Plane Elasticity

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.

Triangular and rectangular plane elasticity finite elements

1995 ◽  
Vol 21 (3) ◽  
pp. 225-232 ◽  
Author(s):  
A.B. Sabir ◽  
A. Sfendji
Keyword(s):  
Finite Elements ◽  
Plane Elasticity

scholarly journals RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY

2005 ◽  
Vol 15 (09) ◽  
pp. 1417-1429 ◽  
Author(s):  
DOUGLAS N. ARNOLD ◽  
GERARD AWANOU
Keyword(s):  
Finite Elements ◽  
Vector Fields ◽  
Mixed Finite Elements ◽  
Symmetric Tensor ◽  
Plane Elasticity ◽  
Discrete Version ◽  
Tensor Fields ◽  
Piecewise Polynomials ◽  
The Family ◽  
Differential Complex

We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought. These may be viewed as analogues in the case of rectangular meshes of mixed finite elements recently proposed for triangular meshes. As for the triangular case the elements are closely related to a discrete version of the elasticity differential complex.

Incompatible Graded Finite Elements for Analysis of Nonhomogeneous Materials

2018 ◽  
Vol 86 (2) ◽  
Author(s):  
Asmita Rokaya ◽  
Jeongho Kim
Keyword(s):  
Exact Solution ◽  
Finite Element ◽  
Finite Elements ◽  
Computation Time ◽  
Plane Elasticity ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Graded Materials ◽  
Bending Load ◽  
Nonhomogeneous Materials

A six-node incompatible graded finite element is developed and studied. Such element is recommended for use since it is more accurate than four-node compatible element and more efficient than eight-node compatible element in two-dimensional plane elasticity. This paper presents comparison between six-node incompatible (QM6) and four-node compatible (Q4) graded elements. Numerical solution is obtained from abaqus using UMAT capability of the software and exact solution is provided as reference for comparison. A graded plate with exponential and linear gradation subjected to traction and bending load is considered. Additionally, three-node triangular (T3) and six-node triangular (T6) graded elements are compared to QM6 element. Incompatible graded element is shown to give better performance in terms of accuracy and computation time over other element formulations for functionally graded materials (FGMs).

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