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LEFM - Mode 1 Stress intensity factors (J-Integral) for inner cracks in pressurized thick-walled cylinders

Submitted by saley on

Hi

During my thesis I am calculating mode 1 stress intensity factors (J-integral) for inner crack in pressurized thick-walled cylinders with ANSYS v13.

The loads are inner pressure on the cylinder bore and gas pressure directly on the crack plane.

I wanted to know why the J-Integral converge along part of the crack front (from the deepest point Phi=90 until Phi=60 degrees, assuming semi-circular crack) when loading the crack plane directly while with the inner pressure the J-integral converge along the whole crack path.

 Best regards

 

 

 

I hope you're right and I made a mistake.

Cylinder geometry : length=1, outer radius=2, inner radius=1, wall thickness=2-1=1.

Singel inner crack geometry : a=c=0.05 (semi-circular), crack plane perpendicular to the cylinder cross-section.

Material properties : E=200e3 MPa, nu=0.3 (linear, elastic).

Load (surface load) : 608 MPa opening pressure perpendicular to the crack plane.

Analysis type : static.

********************************************

ANSYS macro file :

finish

/clear



!Units : MN,m



/filn,OIC608GAS005ATT1ATC



!a=0.05

!c=0.05

!a/c=1

!a/t=0.05

!L/c=10

!2L=1, length

!Ro=2, outer radius

!Ri=1, inner radius

!t=1, wall thickness

!P=608 MPa, crack pressure



/prep7

 

mp,ex,1,200e3

mp,prxy,1,0.3



et,1,plane183

et,2,solid186



cyl4,0,0,1,0,2,180,0.5

kwplan,-1,8,5,2

cyl4,0,0,1

csys,4

arscale,7,,,0.05,0.05,1,,0,0

adele,7,,,1

adele,8

ldele,19,20,,1

lcomb,17,18,0 

lsbl,12,17,,delete,keep

lsbl,8,17,,delete,keep

kgen,2,13,,,0.01,,,,0

kgen,2,13,,,-0.01,,,,0

kgen,2,13,,,,,0.01,,0

larc,10,12,13,0.01

larc,11,12,13,0.01

lsbl,15,16,,delete,keep

lsbl,12,8,,delete,keep

al,8,16,19,20

vdrag,7,,,,,,17

vptn,1,2

vdele,4,,,1

ldele,17,,,1



ldiv,2,0.5,,2,0

lang,7,14,90,,

lang,4,14,90,,

lang,5,15,90,,

lstr,17,16

asbl,3,24

asbl,24,14

asbl,25,23

asbl,1,21



kscon,13,0.002,1,8,



lesize,8,,,6,,,,,1

lesize,16,,,6,,,,,1



amesh,7



lesize,33,,,20,,,,,1

extopt,aclear,1

vsweep,3



lesize,18,,,10,0.3,,,,1

lesize,40,,,10,0.3,,,,1

lesize,41,,,20,0.05,,,,1

lesize,15,,,40,0.02,,,,1

lesize,7,,,30,20,,,,1



lesize,10,,,5,,,,,1

lesize,1,,,15,,,,,1

lesize,2,,,15,2,,,,1

lesize,4,,,25,2,,,,1

lesize,5,,,25,2,,,,1



lesize,14,,,3,,,,,1

lesize,21,,,6,,,,,1

lesize,23,,,6,,,,,1

lesize,24,,,3,,,,,1



lesize,17,,,20,,,,,1

lesize,12,,,10,,,,,1

lesize,13,,,10,,,,,1

lesize,22,,,20,,,,,1



lesize,3,,,6,,,,,1

lesize,6,,,6,,,,,1

lesize,9,,,3,,,,,1

lesize,11,,,3,,,,,1



mshape,1,3d

vmesh,5



nummrg,node,,,,low



/solu



da,8,symm

da,9,symm

da,7,symm

da,6,symm

da,23,symm

da,16,symm



sfa,15,,pres,608

sfa,22,,pres,608



csys,0



cint,new,1

lsel,s,line,,33

nsll,s,1

cm,CrackFront,node

allsel,all

cint,ctnc,CrackFront

cint,norm,0,2

cint,ncon,20

cint,symm,1

cint,type,sifs

outres,cint,,



eqslv,iter,5



solve



eplot



/output,OIC608GAS005ATT1ATC

/post1

prcint,,1261,k1 !Phi=0

prcint,,1245,k1 !Phi=9

prcint,,1249,k1 !Phi=18

prcint,,1253,k1 !Phi=27

prcint,,1257,k1 !Phi=36

prcint,,1599,k1 !Phi=45

prcint,,1603,k1 !Phi=54

prcint,,1607,k1 !Phi=63

prcint,,1611,k1 !Phi=72

prcint,,1615,k1 !Phi=81

prcint,,26,k1   !Phi=90  

/output,

******************************************** 

The ruslts file :

***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1261                                *****Phi=0 ******

   Contour Values =    144.21       123.43       113.46       101.76   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1245                                *****Phi=9 ******

   Contour Values =    146.54       129.33       120.28       109.57   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1249                                *****Phi=18 ******

   Contour Values =    145.27       131.48       124.25       115.61   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1253                                *****Phi=27 ******

   Contour Values =    145.73       134.86       129.22       122.52   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1257                                *****Phi=36 ******

   Contour Values =    147.05       138.79       134.58       129.60   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1599                                *****Phi=45 ******

   Contour Values =    148.70       142.74       139.78       136.30   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1603                                *****Phi=54 ******

   Contour Values =    150.35       146.34       144.44       142.23   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1607                                *****Phi=63 ******

   Contour Values =    151.79       149.36       148.31       147.11   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1611                                *****Phi=72 ******

   Contour Values =    152.90       151.63       151.19       150.74   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node = 1615                                *****Phi=81 ******

   Contour Values =    153.59       153.04       152.98       152.98   



***** POST1 K1           RESULT LISTING *****



 CrackID =   1  Crack Front Node =   26                                *****Phi=90 ******

   Contour Values =    153.81       153.51       153.58       153.73      

********************************************   

Thanks again

Saley

:)

Wed, 04/18/2012 - 20:29 Permalink