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	| 4.00|  0.0597|  0.5044|		| 4.00|  0.0597|  0.5044|
	===========================		===========================
		+
		+	==Mesh distortion test==
		+	[[Image:Example_Quad4i_02.png|thumb|350px|Patch test.]]
		+	The example code can be found [[Example:Example_Quad4i_02|here]].
		+	<br style="clear:both;"/>
		+	=================================================
		+	|  |    Analytical      |    Numerical      |
		+	+---+----------+----------+----------+----------+
		+	|id |ux        |uy        |ux        |uy        |
		+	+---+----------+----------+----------+----------+
		+	|  5|  0.025150|  0.017600|  0.025150|  0.017600|
		+	|  6|  0.047100|  0.032500|  0.047100|  0.032500|
		+	|  7|  0.058150|  0.041600|  0.058150|  0.041600|
		+	|  8|  0.039850|  0.029000|  0.039850|  0.029000|
		+	=================================================
	=Comments=		=Comments=

---

Revision as of 14:27, 9 January 2008

The following article describes the use of the element.quad4i command. This command defines a four-node non-conforming quad based on the work of R.L. Taylor, P.J Beresford & E.L. Wilson<ref>R.L. Taylor, P.J Beresford and E.L. Wilson, "A non-conforming element for stress analysis", International Journal for Numerical Methods in Engineering, Vol. 10, pp.1211-1219 (1976)</ref>.

Contents 1 Syntax 2 Examples 2.1 Mesh distortion test 2.2 Mesh distortion test 2.2.1 ===================================== 2.2.2 ===================================== 3 Comments 4 Theory 5 Implementation 6 Notes 7 See also

Syntax

element.quad4i(id,node1,node2,node3,node4,mat)

where

Parameter	description	type	default
id	The elemental id	integer	-
node1-4	The elemental nodes	integer	-
mat	The element material	integer	-

Examples

Mesh distortion test

The example code can be found here.

===========================
|alpha |STD      |QM6     |
+------+---------+--------+
| 0.00|   0.2424|   1.0000|
| 1.00|   0.1274|   0.6174|
| 2.00|   0.0846|   0.5337|
| 3.00|   0.0703|   0.5271|
| 4.00|   0.0597|   0.5044|
===========================

Mesh distortion test

The example code can be found here.

=====================================

| | Analytical | Numerical | +---+----------+----------+----------+----------+ |id |ux |uy |ux |uy | +---+----------+----------+----------+----------+ | 5| 0.025150| 0.017600| 0.025150| 0.017600| | 6| 0.047100| 0.032500| 0.047100| 0.032500| | 7| 0.058150| 0.041600| 0.058150| 0.041600| | 8| 0.039850| 0.029000| 0.039850| 0.029000|

=====================================

Comments

Nodes, material and section must be already defined. This element can be only used in plane strain/stress analysis.

Theory

Implementation

The implementation of this element follows closely the work of T.J.R. Hughes<ref>T.J.R. Hughes, "The Finite Element Method: Linear Static and Dynamic Finite Element Analysis"', Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1997, pp.243-248.</ref>

Notes

<references/>

See also

• node module.
• material module.
• section module.
• element module.
• User guide.