/COM,ANSYS MEDIA REL. 2024R2 (05/10/2024) REF. VERIF. MANUAL: REL. 2024R2 /VERIFY,vm287 /TITLE,vm287,INITIAL CRACK GROWTH ANGLE IN PURE SHEAR PROBLEM BY XFEM /COM, REFERENCE: "F.ERDOGAN, G.C.SIH, ON THE CRACK EXTENSIN IN PLATES UNDER /COM PLANE LOADING AND TRANSVERSE SHEAR /COM JOURNAL OF BASIC ENGINEERING,1963(12):519-527 /COM /COM ************************************************************* /COM /COM PROBLEM: PURE SHEAR TEST WITH AN EDGE CRACK /COM NO CZM ON INITIAL CRACKS /COM ELEMENTS: PLANE182, PLANE STRAIN /COM MATERIAL: LINEAR ELASTIC, NLGEOM=OFF /COM BILINEAR COHESIVE BEHAVIOR ON INITIAL CRACK FACES /COM RIGID LINEAR BEHAVIOR ON NEWLY FORMED CRACK SURFACES /COM /COM FRACTURE BEHAVIOR: MAXIMUM PRINCIPAL STRESS (PSMAX) /COM /COM RESULTS: THE ANGLE OF INITIAL CRACK PROPAGATION W.R.T. ORIGINAL /COM CRACK IS 67 DEGREES. THIS AGREES QUITE REASONABLY WITH /COM THE THEORETICAL RESULT OF 70.5 DEGREES (BASED ON /COM ASYMPTOTIC SOLUTIONS FOR CRACKS IN HOMOGENEOUS MATERIALS) /COM /COM ************************************************************* /COM /PREP7 ET,1,PLANE182 ! PLANE182 ELEMENTS KEYOPT,1, 3, 2 ! PLANE STRAIN OPTION !CONTINUUM MATERIAL BEHAVIOR MP, EX, 1, 100.0 MP, NUXY, 1, 0.0 !CRACK GROWTH CRITERION TB, CGCR, 2, , , PSMAX TBDATA, 1, 0.5 ! DEFINE KEYPOINTS K, 1, 0.0, 0.0 K, 2, 10.0, 0.0 K, 3, 10.0, 10.0 K, 4, 0.0, 10.0 ! DEFINE AREA WITH KP A, 1,2,3,4 ! MESH THE AREA ELEMENTSIZE=10.0/21.0 TYPE, 1 MAT, 1 ESIZE, ELEMENTSIZE AMESH,1 ! ELEMENT COMPONENT REQUIRED FOR XFENRICH COMMAND NSEL,S,LOC,X, 0.0, 10.0 NSEL,R, LOC, Y, 0.0, 7.0 ESLN CM, TESTCMP, ELEM ALLSEL !DEFINE ENRICHMENT IDENTIFICATION !XFENRICH, ID#, EL COMPONENT, MAT ID FOR INIT_CRK_CZM !XFDATA, 1, LSM,EL#,ND#, PHI, PSI(CRACK TIP INDICATOR-NOT USED) ! FOLLOWING DATA EXTRACTED FROM PREPROCESSOR IN ANSYS GUI XFENRICH,ENRICH1,TESTCMP,1 FLST,3,2,8 FITEM,3,0.0,5.0,0 FITEM,3,5.0,5.0,0,0 XFDATA,ENRICH1,P51X ALLSEL /OUT /COM ************************************************************* /COM /COM INITIAL CRACK DATA /COM /COM ************************************************************* XFLIST ! CRK TIP ELEMENT ESEL,S,ELEM,,221 CM, CRKTIPELEM, ELEM ALLSEL,ALL !FIXED B.C. - RHS BOTTOM CORNER NSEL, S, LOC, X, 10.0 NSEL, R, LOC, Y, 0.0 D, ALL, UX, 0.0 D, ALL, UY, 0.0 ALLSEL !FIXED B.C. - RHS TOP CORNER NSEL, S, LOC, X, 10.0 NSEL, R, LOC, Y, 10.0 D, ALL, UX, 0.0 ALLSEL !FORCE B.C. - LHS TOP PART NSEL, S, LOC, X, 0.0 NSEL, R, LOC, Y, 5.0, 10.0 NSEL,U, NODE, ,74 F, ALL, FX, 0.42 !FORCE B.C. - LHS BOT PART NSEL, S, LOC, X, 0.0 NSEL, R, LOC, Y, 0.0, 5.0 NSEL, U, NODE, ,75 F, ALL, FX, -0.42 ALLSEL FINISH ! SOLUTION MODULE ! NOTE: NROPT IS ACTIVATED BY DEFAULT EVEN FOR LINEAR ANALYSIS ! IN XFEM /SOLUTION ANTYPE,0 TIME, 1.0 ! END TIME DELTIM, 0.02, 1.0E-05, 0.02 ! TIME INCREMENTS OUTRES,ALL, ALL !CINT CALCULATIONS CINT, NEW, 1 ! NEW CRACK ID CINT, CXFE, CRKTIPELEM ! CRACK TIP ELEMENT NUMBER CINT, TYPE, PSMAX ! CALCULATE CIRCUMFERENTIAL STRESS CINT, RADIUS, 0.6 ! RADIUS AT WHICH THE VALUE IS EVALUATED CINT, NCON, 6 ! NUMBER OF CONTOURS CINT, NORM, 0, 2 ! DEFINE CRACK PLANE NORMAL CINT, RSWEEP, 181, -90, 90 ! MINIMUM AND MAXIMUM SWEEP ANGLE !CGROW CALCULATIONS CGROW, NEW, 1 ! NEW CRACK GROWTH SIMULATION FATA CGROW, CID, 1 ! CRACK CALCULATION ID CGROW, METHOD, XFEM ! XFEM METHOD CGROW, FCOPTION, MTAB, 2 ! CRACK GROWTH CRITERIAN USED WITH MATERIAL DATA /OUT,SCRATCH SOLVE /OUT /COM ************************************************************* /COM /COM CRACK DATA AFTER PROPAGATION /COM /COM ************************************************************* XFLIST /OUT,SCRATCH FINISH /POST1 SET,LAST *GET,DD,XFEM,PHI,ELEM,222,NODE,294 ! LSM PHI VALUE FOR THIS NODE NUMBER OF THIS ELEMENT /COM, THE INITIAL CRACK GROWTH ANGLE = ARCCOS(DD/0.5*ELEMENT SIZE) /OUT, /COM, THE INITIAL CRACK GROWTH ANGLE OF PURE SHEAR PROBLEM IN MECHANICAL APDL BY XFEM CRACK_GROWTH_ANGLE=ACOS(ABS(DD)/(0.5*ELEMENTSIZE))*180/3.1416 /COM, THE ANALYTICAL SOLUTION FOR PURE SHEAR PROBLEM =70.5 DEGREE REFERENCE_RESULT=70.5 RATIO=CRACK_GROWTH_ANGLE/REFERENCE_RESULT /COM /OUT,vm287,vrt /COM,----- VM287 RESULTS COMPARISON ------------------------- /COM, /COM,| Mechanical APDL | TARGET | RATIO /COM, *VWRITE,CRACK_GROWTH_ANGLE,REFERENCE_RESULT,RATIO (8X,F8.3,' ',F8.3,' ',F5.3) /COM,----------------------------------------------------------------------- /OUT *LIST,vm287,vrt FINISH