5. Examples#
5.1. Elliptic defect with a negative offset#
Examples of how to use the POST_K_BETA command are provided in the EPICU01 test case.
Before using the POST_K_BETA command, it is necessary to record the stresses and temperatures along the fault.
Survey of the stresses on the part of the defect located in the coating.
S1_G= MACR_LIGN_COUPE (RESULTAT = SIG,
LIST_INST = LINST_ME, NOM_CHAM =” SIGM_ELNO “,
VIS_A_VIS =_F (GROUP_MA_1 =”R”,),
LIGN_COUPE =(
_F (TYPE =” SEGMENT “, NB_POINTS =2, =2, INTITULE =” GLOBAL1”,
COOR_ORIG =( 2.0013, 0.0,),
COOR_EXTR =( 2.0015, 0.0,),
)))
Survey of the stresses on the part of the defect located in the base metal.
S2_G= MACR_LIGN_COUPE (RESULTAT = SIG,
LIST_INST = LINST_ME, NOM_CHAM =” SIGM_ELNO “,
VIS_A_VIS =_F (GROUP_MA_1 =”M”,),
LIGN_COUPE =(
_F (TYPE =” SEGMENT “, NB_POINTS =2, =2, INTITULE =” GLOBAL2”,
COOR_ORIG =( 2.0015, 0.0,),
COOR_EXTR =( 2.0073, 0.0,),
)))
Temperature measurement along the fault.
TEMP_G = MACR_LIGN_COUPE (RESULTAT = TEMP,
LIST_INST = LINST_TH, NOM_CHAM =” TEMP “,
LIGN_COUPE =(
_F (TYPE =” SEGMENT “, NB_POINTS =10, =10, INTITULE =” GLOBAL3”,
COOR_ORIG =( 2.0013, 0.0,),
COOR_EXTR =( 2.0073, 0.0,),)))
After carrying out these various measurements, the calculation of the stress intensity factor can be effectively done using the POST_K_BETA command.
TB_KBETA = POST_K_BETA (MAILLAGE = MAIL,
MATER_REV = MAME_RE2, EPAIS_REV = EPREV, FISSURE = _F (FORM_FISS = “ELLIPSE”, PROFONDEUR = 6. , LONGUEUR = 60. , DECALAGE = -1.E-05, ORIENTATION = “CIRC”), K1D = (_F (TABL_MECA_REV = S1_G, TABL_MECA_MDB = S2_G, TABL_THER = TEMP_G, INTITULE = “NOEINF”,),), TITRE = “FIC PAR METHODE K- BETA” )
5.2. Elliptic defect with a positive offset#
Examples of how to use the POST_K_BETA command are provided in the EPICU02 test case.
Before using the POST_K_BETA command, it is necessary to record the stresses and temperatures along the fault.
The tables TABL_MECA_MDBet TABL_THER are obtained directly by using the macro command MACR_LIGN_COUPE on the defect support segment ranging from the point A of the defect on the coating side to the point B on the base metal side.
S1G = MACR_LIGN_COUPE (RESULTAT = SIG,
NOM_CHAM =” SIGM_ELNO “,
LIGN_COUPE =_F (TYPE =” SEGMENT “,
NB_POINTS =5,
COOR_ORIG =( Pointe_A,0.,0. ),
COOR_EXTR =( Pointe_B,0.,0.)))
TEMPG = MACR_LIGN_COUPE (RESULTAT = TEMP,
NOM_CHAM =” TEMP “,
LIGN_COUPE =_F (TYPE =” SEGMENT “,
NB_POINTS =5,
COOR_ORIG =( Pointe_A,0.,0. ),
COOR_EXTR =( Pointe_B,0.,0.)))
After carrying out these various measurements, the calculation of the stress intensity factor can be effectively done using the POST_K_BETA command.
KBETA = POST_K_BETA (MAILLAGE = MAIL,
MATER_REV = MAME_RE2,
EPAIS_REV = EPREV,
FISSURE =_F (FORM_FISS = “ELLIPSE”,
PROFONDEUR = 0.006,
DECALAGE = 0.01,
LONGUEUR = 0.06,
ORIENTATION = “LONGI”),
K1D =( _F (TABL_MECA_MDB = S1G,
TABL_THER = TEMPG,
INTITULE = “lower node NOEINF “)),
TITRE = “FIC PAR METHODE K- BETA”)
5.3. Semi-elliptic defect#
Examples of how to use the POST_K_BETA command are provided in the EPICU03 test case.
Before using the POST_K_BETA command, it is necessary to record the stresses and temperatures along the fault.
The tables TABL_MECA_MDBet TABL_THER are obtained directly by using the macro command MACR_LIGN_COUPE on the defect support segment ranging from the point A of the defect on the coating side to the point B on the base metal side.
S1G = MACR_LIGN_COUPE (RESULTAT = SIG,
VIS_A_VIS =_F (GROUP_MA_1 =”M”),
NOM_CHAM =” SIGM_ELNO “,
LIGN_COUPE =_F (TYPE =” SEGMENT “,
NB_POINTS =5,
COOR_ORIG =( Pointe_A,0.,0. ),
COOR_EXTR =( Pointe_B,0.,0.)))
TEMPG = MACR_LIGN_COUPE (RESULTAT = TEMP,
NOM_CHAM =” TEMP “,
LIST_INST = LINST_TH,
LIGN_COUPE =_F (TYPE =” SEGMENT “,
NB_POINTS =5,
COOR_ORIG =( Pointe_A,0.,0. ),
COOR_EXTR =( Pointe_B,0.,0.)))
After carrying out these various measurements, the calculation of the stress intensity factor can be effectively done using the POST_K_BETA command.
KBETA = POST_K_BETA (MAILLAGE = MAIL,
MATER_REV = MAME_RE2,
MATER_MDB = MAME_MET,
EPAIS_REV = EPREV,
EPAIS_MDB = EPMDB,
FISSURE =_F (FORM_FISS = “SEMI_ELLIPSE”,
PROFONDEUR = 0.005,
LONGUEUR = 0.025,
ORIENTATION = “LONGI”),
K1D =( _F (TABL_MECA_MDB = S1G,
TABL_THER = TEMPG,
INTITULE = “lower node NOEINF “)),
TITRE = “FIC PAR METHODE K- BETA”)
In fact, contrary to the methodology for determining the elastic stress intensity factor for the elliptical defect, the method of influence coefficients used here for the determination of the elastic stress intensity factor for the semi-elliptic defect requires the addition of the keywords MATER_MDB and EPAIS_MDB to be filled in the keywords and (cf. paragraphs 3.4 and 3.5).