dohrmann Episode 2 Part 6 ppt

coordinate system of the element face, the triangularregions have straightedges and lie in a single plane.. The domain of the projection of Fl onto the element face is divided into trian

coordinate system of the element face, the triangularregions have straightedges and lie in a single plane The domain of the projection of Fl onto the element face is divided into triangularregions for the purpose of cal-culating surface integrals overFm.

19

* -. \

Figure 3: An edge of F1 (solid line) and its projection onto the mastersurface (dashed line) viewed from a direction nearly orthogonal to F1 The edge shown spans three different element faces on the master surface The projection of the edge onto the master surface is a piecewise continuous line with possible discontinui-ties in slope at edges on the master surface The solid and dashed lines appear as straightlines in the coordi-nate systems of element faces on the slave and master surfaces, respectively

k e2

el

Mesh 2 Mesh

(2hl,h2,0)

(o

(a)

(b)

Figure 4: (a) Mesh configuration H8T4 with nl 1= n21= n31= 2and FZ12= 7222= n32= 3, (b) openedviewof meshes revealing shared boundary

21

8

0.92465 0.76437

0.92385

0.92385 0.92385 0.76437 0.92465 7

6

1.1049

1.1049

1.1064

1.1064

1.1084

1.1064

0.92385

0.92385

1.1049

1.1049

m5

*

0.92385 4

3

2

0.92465 0.76437 0.92385 0.92385 0.76437 0.92465

1

1.104

Figure 7: Stress component G1, at centroids of elements with faces on the slave surface for Example 3.1 Results presented are for mesh configuration H20H20 using the standardmaster-slaveapproach

BEl 0.527

0.514

0.511

0.505

log(lhz)

Figure 8: Energy norms of the error for Example 3.1 obtained using the standardmaster-slave approach Slopes of lines connecting the data points are shown above the line segments

25

I I I I I I I

0.977 0.993

0.997

1.836

1.803

1.762

-11

log(lln)

Figure 9: Energy norms of the error for Example 3.2 obtained using the presentmethod Slopes of lines connecting the data points are shown above the line segments

Figure 10: Energy norms of the error for Example 3.3 obtained using the present method

27

9

T ,

7

6

*N 5

Q

u

2

1

x3

Figure 11: Stress component olzat centroids ofelements with faces onthe slave surface forCasel of

Example 3.3

I I I

:)

-rI

f? 5

4

I

2.0026e–07

I

I

x3

Figure 12: Stress componento12at centroidsofelements withfaces onthe slave surface forCase 2of Example 3.3

29

Internal Distribution:

1 MS 9042

1 MS 9042

1 MS 9042

1 MS 9042

1 N’fs 9405

1 11S 9042

1 hfs 9405

1 lls 0828

1 llS 0826

1 hlS 0835

1 \fs o-143

1 \Iso4-i3

1 MS 0443

1 31S 0443

10 hfso443

10 hls 0443

1 hlso443

1 L1S0443

1 Lls 0443

1 hlS 0836

1 MS0836

1 JIS0819

1 MS0819

1 hlS0819

1 hls 0443

1 }1s0441

1 hIS0441

1 hlso439

10 MS0439

1 MS0439

1 MS0439

1 MS0439

1 MS9018

2 MS0899

1 MS0619

E P Chen, 8742

R E Jones, 8742

L E Voelker,8742

L I Weingarten, 8742

P E Nielan,8743

M L Chiesa,8743

J F Lathrop, 8743

F J Mello, 9104

D K Gartling, 9111

R J Cochran,9113

H S Morgan, 9117

S W Attaway, 9117

11 L Blanford,9117

K H Brown, 9117

lf W Heinstein, 9117

S W Key, 9117

J R Koteras,9117

J W Swegle, 9117

C M Stone, 9117

J R Stewart, 9121

L M Taylor, 9121

K G Budge, 9231

J S Peery,9231

J R Weatherby, 9231

J Jung, 9135

R W Leland, 9226

S A Mitchell, 9226

D R Martinez, 9234

C R Dohrmann, 9234

C W Fulcher, 9234

G M Reese, 9234

D J Segalman, 9234 Central Technical Files, 8940-2 Technical Library, 4916

Review & Approval Desk, 15102 For DOE/OSTI

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