CHEXA



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CHEXA – Six-sided Solid Element with eight or twenty grid points

Description

Defines the connections of the HEXA solid element.

Format

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

CHEXA

EID

PID

G1

G2

G3

G4

G5

G6

 

 

G7

G8

G9

G10

G11

G12

G13

G14

 

 

G15

G16

G17

G18

G19

G20

 

 

 

Example

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

CHEXA

71

4

3

4

5

6

7

8

 

 

9

10

 

 

 

 

 

 

 

 

Field

Contents

EID

Unique element identification number.

No default (Integer > 0)

PID

Identification number of a PSOLID property entry.

Default = EID (Integer > 0)

G#

Grid point identification numbers of connection points.

Default = blank (Integer > 0 or blank)

Comments

  1. Element identification numbers must be unique with respect to all other element identification numbers.

  2. Grid points G1,…,G4 must be given in consecutive order about one quadrilateral face. G5,…,G8 must be on the opposite face with G5 opposite G1, G6 opposite G2, etc.

The edge points, G9 through G20, are optional. If any of the edge points are present, they all must be used. The second continuation must not be present for the 8-noded version of this element.

It is recommended that the edge points be placed near the middle of the edge.

image\chexa.gif
CHEXA definition

  1. If the user-prescribed node numbering on the bottom and top faces is reversed as compared to the sequence shown above, then the nodes are renumbered to produce right-handed orientation of numbering. This is accomplished by swapping nodes G1 with G3 and G5 with G7. For 20-noded CHEXA, appropriate changes to mid-side node numbering are also performed. In such cases, the element coordinate system will be built on the renumbered node sequence.

  2. Stresses are output in the material coordinate system. The material coordinate system is defined on the referenced PSOLID entry. It may be defined as the basic coordinate system (CORDM = 0), a defined system (CORDM = Integer > 0), or the element coordinate system (CORDM = -1).

  3. The element coordinate system for the CHEXA element is defined as follows:

Three intermediate vectors R, S, T are chosen by the following rules:

R

Joins the centroids of the faces described by the grid points G4, G1, G5, G8 and the grid points G3, G2, G6, G7.

S

Joins the centroids of the faces described by the grid points G1, G2, G6, G5 and the grid points G4, G3, G7, G8

T

Joins the centroids of the faces described by the grid points G1, G2, G3, G4 and the grid pints G5, G6, G7, G8.

image\chexa2.gif

CHEXA element coordinate systems

The origin of the element coordinate system is at the intersection of these three vectors. If the vectors do not all intersect at one point, then the average location of the intersection points is used.

The element z-axis corresponds to the T vector.

The element y-axis is the cross product of the T and R vectors.

The element x-axis is the cross product of the element y-axis and the element z-axis.

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