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mechanics of fracture
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FRACTURE MECHANICSCRACK ??
FRACTURE ???
MECHANICS OF MATERIAL/STRENGTH OF MATERIAL ??
ASSUMPTIONHOMOGEN
CONTINUE
ISOTROPI
CASES
1800 1870 : Accidents were caused by Fractures of wheel, axle, rails (Great Britain).19th March 1830 : Montrose Suspension Bridge.Main chain gave way 700 persons killed.22nd January 1866 : A portion of roof of the Manchester railway station fell. 2 men death.Caused by failure of cast iron struts connected.13th December 1898 : The failure of a large gas tank in New York.3th January 1913 : A high pressure water burst at Boston flooded the districtFebruary 1866 : Boiler explosionsMost of serious railway accidents
Spec pipa : API. 5 LX grade X52, electric resistance welded, longitudinal weld pipa- Mechanical properties : u, y- Dimensi pipa : 16 , t = 0,250 Kondisi operasi : p = 600 psig (avg) Sistem perlindungan- Kondisi lingkungan
POOR DESIGN
Fracture mechanicsLINEAR ELASTIC FRACTURE MECHANICS (LEFM)* BEBAN ELASTIS == FATIGUE
ELASTIC PLASTIC FRACTURE MECHANICS* BEBAN PLASTIS
STRESS CONCENTRATION FACTOR (Kt)RADIUS OF FILLETr/Dr/D>Notch stress (notch)>>>notch = Kt x unnotch/ nBagaimana kalau r ~ 0, D = constantr/D = 0/D ~ infinite = crack/retakCrack # notch/holeKt = faktor pengendali konstruksi yang ada notch
SOURCES OF STRESS CONCENTRATEDIMPURITY,VACANCY,DISLOCATION,GRAIN BOUNDARYROUGHNESS OF SURFACEWELD DEFECTHOLE FOR RIVET, BOLT
DONT CONSIDER TO AVOID FRACTURE, BUT CONSIDER TO CONTROL FRACTURE IN DESIGN, MANUFACTURING, MAINTENANCE AND REPAIR.
What is CRACK????Notch yang r ~ 0 Alat kontrolnya bukan lagi Kt K1 , K2 atau K3 (factor intensitas tegangan/ stress intensity factor)KI = MODUS I , tensionKII = modus II, slidingKIII = modus III, tearing
Expected highest service loadCrack sizeCycles/timeResidual strengthCrack size, timeDesign strengthExpected highest service loadNormal sevice loadFailuremay occurefailure
FRACTURE/PATAHAWAL RETAK/CRACK INITIATIONCRACK PROPAGATIONFINAL FRACTURE
TOTAL24277%FATIGUESIMPLE FATIGUE
58%CORROSIO FATIGUEROLLING CONTACTFATIGUE
11 %ThermalFatigue 8 %Others23 %
SCC 5% corrosion burst 3%Static fracture 13%24290 %Stress concentrationWelded part
77Key, atc
56Bolt 32Pulley,roll
28Gear 18Cast 15Wire rope 8Others 10
MODE OF FRACTUREMixedModeI & III & III
FRACTURE MECHANICS PARAMETERSyK = v. a f (a/w)K = stress insity factora = crack sizef(a/w) = shape factor
Fracture toghness Kc is fracture toughness value/ nilai ketangguhan retak K ~ Kc === patah/fracture K < Kc == crack propagation/menuju patah a ~ ac (critical size) patah K = K max K min K max = max V . a f (a/w) K min = min V . a f (a/w)
da/dN KIIIIIICrack initiationPropagationFinal/static fractureStable crackUnstable Kc propertiesFracture toughness valueK Kth
Crack propagation (da/dNPARIS LAW
da/dN = C ( K)m K = stress intensity rangeC , m = the material constant K = K max K min
CRACK PROPAGATION
N(cycles)ada/dN (log scale)K (log scale)da/dN = C (K)mP1>P2>P3P1P2P3PPtb at(time)PP maxP mindadNK = (a)^1/2 f(a)+-R = -1
R=0
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