Fatigue of Welds. Professor Darrell F. Socie Darrell Socie, All Rights Reserved
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1 Fatigue of Welds Professor Darrell F. Socie Darrell Socie, All Rights Reserved
2 Weld Fatigue Problems Fatigue of Welds Darrell Socie, All Rights Reserved 1 of 65
3 More Problems Fatigue of Welds Darrell Socie, All Rights Reserved 2 of 65
4 Two Similar Shapes Fatigue of Welds Darrell Socie, All Rights Reserved 3 of 65
5 Fatigue Analysis This one is difficult This one is easy Fatigue of Welds Darrell Socie, All Rights Reserved 4 of 65
6 Fatigue Analysis Material Data Component Geometry Analysis Fatigue Life Estimate Service Loading Fatigue of Welds Darrell Socie, All Rights Reserved 5 of 65
7 Nominal Stress Nominal stress approaches are based on extensive tests of welded joints and connections. Weld joints are classified by type, loading and shape. For example, a transversely loaded butt weld. It is assumed and confirmed by experiments that welds of a similar shape have the same general fatigue behavior so that a single design SN curve can be employed for any weld class. The designer need only determine the nominal stress and select a weld class. There is no need to directly consider the stress concentration effects of the weld. Fatigue of Welds Darrell Socie, All Rights Reserved 6 of 65
8 Structural Stress Structural stress approaches are often referred to as "hot-spot methods". The structural stress includes the macroscopic stress concentrating effects of the weld detail but not the local peak stress caused by the notch at the weld toe. There are various methods used to determine the structural stress. They involve extrapolating the computed or measured stresses from two points near the weld to a structural stress at the weld toe. This method works in situations where there is no clear definition of the nominal stress. Fatigue of Welds Darrell Socie, All Rights Reserved 7 of 65
9 Local Stress Strain Local stress or strain approaches include both the macroscopic stress concentration due to the weld shape and the local stress concentration at the weld toe. To apply traditional methods of fatigue analysis to welds, an appropriate value of the stress concentration factor and residual stress must be selected. Although the smallest radius produces the largest stress concentration factor, its effect in fatigue is smaller because of the gradient effect. As a result there is a critical radius for fatigue that can be used to compute the fatigue notch factor. Fatigue of Welds Darrell Socie, All Rights Reserved 8 of 65
10 Crack Growth Many weld details have planar lack of fusion defects. This is particularly true of fillet welds. In this case fracture mechanics models for crack growth are the most appropriate fatigue technology. Fatigue of Welds Darrell Socie, All Rights Reserved 9 of 65
11 Similitude Local stresses and strains control the fatigue life Lifetime to about a 1mm crack Crack initiation Fatigue of Welds Darrell Socie, All Rights Reserved 10 of 65
12 Similitude (continued) Nominal stresses and crack Length control the fatigue life Crack propagation Fatigue of Welds Darrell Socie, All Rights Reserved 11 of 65
13 Vehicles Are Frequently Overloaded Occasional plastic deformation strain life analysis Fatigue of Welds Darrell Socie, All Rights Reserved 12 of 65
14 Strain-Life Fatigue Analysis Material Data Component Geometry Cyclic stress strain curve σ 0 σ ε 1 ' σ σ n = + ' E K ε log ( ε/2) 4 ε f σ 1,1' 5,5' 7,7' 3 8 2,2' 6 Strain-life curve ' ε σ f = + 2 E ( 2 b ' N ) ( 2 f ε f N f ) ε c Service Loading ε p 0 ε ε ε e = σ/ε σ σ f /E σ e / E 0 2N log (2N f ) 2N e Fatigue of Welds Darrell Socie, All Rights Reserved 13 of 65
15 Material Data Strain-Life Fatigue Analysis Gradient Effects Component Geometry Service Loading Neuber s Rule Fatigue of Welds Darrell Socie, All Rights Reserved 14 of 65
16 Strain-Life Fatigue Analysis Material Data Analytical Structural Loads Component Geometry Experimental Service Loading Fatigue of Welds Darrell Socie, All Rights Reserved 15 of 65
17 Crack Growth Fatigue Analysis Material Data Component Geometry Service Loading Fatigue of Welds Darrell Socie, All Rights Reserved 16 of 65
18 Crack Growth Fatigue Analysis Material Data σ(x) Component Geometry a a Service Loading Stress distribution along crack path in an un-cracked body Fatigue of Welds Darrell Socie, All Rights Reserved 17 of 65
19 Crack Growth Fatigue Analysis Material Data Analytical Structural Loads Component Geometry Experimental Service Loading Fatigue of Welds Darrell Socie, All Rights Reserved 18 of 65
20 Why Are Welds Difficult to Analyze? This one is difficult This one is easy Fatigue of Welds Darrell Socie, All Rights Reserved 19 of 65
21 Welds Have Distortions What is the real stress at a weld toe? Fatigue of Welds Darrell Socie, All Rights Reserved 20 of 65
22 Loading Conditions How is the weld loaded? Fatigue of Welds Darrell Socie, All Rights Reserved 21 of 65
23 Many Possible Failure Locations Fatigue of Welds Darrell Socie, All Rights Reserved 22 of 65
24 So Many Possibilities! Fatigue of Welds Darrell Socie, All Rights Reserved 23 of 65
25 What is K T? Tight fit-up K T = 3? Loose fit-up K T = 7 Fatigue of Welds Darrell Socie, All Rights Reserved 24 of 65
26 What Is The Weld Shape? Fatigue of Welds Darrell Socie, All Rights Reserved 25 of 65
27 Weld Quality? Fatigue of Welds Darrell Socie, All Rights Reserved 26 of 65
28 Mean Stress? Fatigue of Welds Darrell Socie, All Rights Reserved 27 of 65
29 Material Properties? Fatigue of Welds Darrell Socie, All Rights Reserved 28 of 65
30 Summary Fatigue of Welds Darrell Socie, All Rights Reserved 29 of 65
31 Summary (continued) Fatigue of Welds Darrell Socie, All Rights Reserved 30 of 65
32 Fatigue Analysis of Welds Material Data Uncertain, but unimportant Component Geometry Uncertain, but very important Service Loading Uncertain, but important How do we deal with these uncertainties? Fatigue of Welds Darrell Socie, All Rights Reserved 31 of 65
33 Analyzing Welds Nominal Stress Structural or Hot Spot Stress Local Stress Strain Crack Growth Fatigue of Welds Darrell Socie, All Rights Reserved 32 of 65
34 Nominal Stress Weld Classifications D E F2 G Fatigue of Welds Darrell Socie, All Rights Reserved 33 of 65
35 BS Steel 400 B 300 C 200 D E 100 F F2 G W Fatigue Life, Cycles Fatigue of Welds Darrell Socie, All Rights Reserved 34 of 65
36 IIW Classification N m σ = C C = (FAT) 2 10 m 6 m= 3 ( 1 ) ( 1 m m) σ = C N ( 1 6 m) 2 10 σ = FAT N Fatigue of Welds Darrell Socie, All Rights Reserved 35 of 65
37 Japan Society of Steel Construction Fatigue of Welds Darrell Socie, All Rights Reserved 36 of 65
38 Crack Growth Data Crack Growth Rate, m/cycle σ yield K, MPa m Ferritic-Pearlitic Steel: da dn da dn da dn = = = Martensitic Steel: ( KMPa m) 3. 0 ( KMPa m) Austenitic Stainless Steel: ( KMPa m) Barsom, Fatigue Crack Propagation in Steels of Various Yield Strengths Journal of Engineering for Industry, Trans. ASME, Series B, Vol. 93, No. 4, 1971, Fatigue of Welds Darrell Socie, All Rights Reserved 37 of 65
39 Nominal Stress - Aluminum B 75 C D E F Fatigue Life, Cycles Sharp, Behavior and Design of Aluminum Structures,McGraw-Hill, 1992 Fatigue of Welds Darrell Socie, All Rights Reserved 38 of 65
40 Crack Growth Data Crack Growth Rate m/cycle T3 m/cycle 3X 3 1 A533B m/cycle Cyclic Stress Intensity, MPa m Steel welds are 3 times stronger than aluminum Fatigue of Welds Darrell Socie, All Rights Reserved 39 of 65
41 Residual Stress from Welding Fatigue of Welds Darrell Socie, All Rights Reserved 40 of 65
42 Weld Distortion Fatigue of Welds Darrell Socie, All Rights Reserved 41 of 65
43 Weld Toe Residual Stress σ ε ε Yield stress ε Maximum stress at the weld toe is nearly the same for any cycle Fatigue of Welds Darrell Socie, All Rights Reserved 42 of 65
44 Mean Stress Effects As welded structures usually have the maximum possible mean stress Stress relief, peening, etc. will have a substantial effect on the fatigue life Fatigue of Welds Darrell Socie, All Rights Reserved 43 of 65
45 Butt and Fillet Weld Test Data 1000 The good welds Stress Range, MPa % survival with 95% confidence Failures Run outs Fatigue Life, Cycles Fatigue of Welds Darrell Socie, All Rights Reserved 44 of 65
46 Weld Terminations 1000 The bad welds Stress Range, MPa % survival with 95% confidence Failures Run outs Fatigue Life, Cycles Fatigue of Welds Darrell Socie, All Rights Reserved 45 of 65
47 Sources of Inherent Scatter Weld quality Mean, fabrication and residual stresses Stress concentrations (geometry) Weldment size Material properties Opportunities for Improvement! Fatigue of Welds Darrell Socie, All Rights Reserved 46 of 65
48 The Good and Bad Good weld design Local stress concentration from weld toe Poor weld design Macroscopic stress concentration from a geometry change Fatigue of Welds Darrell Socie, All Rights Reserved 47 of 65
49 Nominal Stress? Solution: use structural stress approach Fatigue of Welds Darrell Socie, All Rights Reserved 48 of 65
50 Typical Butt Weld Fatigue of Welds Darrell Socie, All Rights Reserved 49 of 65
51 Weld Toe Microcracks form during welding process Fatigue of Welds Darrell Socie, All Rights Reserved 50 of 65
52 Cold Lap Fatigue of Welds Darrell Socie, All Rights Reserved 51 of 65
53 All Welds Contain Microcracks 100 K, MPa m 10 da dn = C K m ~ 3 m B C D m ~ 3 E 100 F F2 G W Fatigue Life, Cycles Crack Growth Rate, m/cycle Same slope means same mechanism, crack growth Fatigue of Welds Darrell Socie, All Rights Reserved 52 of 65
54 Fracture Mechanics Modeling Driving force is crack depth, a, not length, c Fatigue of Welds Darrell Socie, All Rights Reserved 53 of 65
55 Stress Intensity Solution N = a a f o C ( K) max da m K = K K min K = K + K max applied residual Fatigue of Welds Darrell Socie, All Rights Reserved 54 of 65
56 Size Effects Fatigue of Welds Darrell Socie, All Rights Reserved 55 of 65
57 Weld Improvement Reduce stresses Residual Distorsion fabrication Reduce K T Weld toe Macroscopic Shape Weld starts and stops Fatigue of Welds Darrell Socie, All Rights Reserved 56 of 65
58 Gradual Change in Stiffness Fatigue of Welds Darrell Socie, All Rights Reserved 57 of 65
59 Weld Terminations Fatigue of Welds Darrell Socie, All Rights Reserved 58 of 65
60 Stress Diffuser Fatigue of Welds Darrell Socie, All Rights Reserved 59 of 65
61 Stress Diffuser Improvement Fatigue of Welds Darrell Socie, All Rights Reserved 60 of 65
62 Shape Fatigue of Welds Darrell Socie, All Rights Reserved 61 of 65
63 Improvement Strategies Fatigue of Welds Darrell Socie, All Rights Reserved 62 of 65
64 TWI Suggestions Fatigue of Welds Darrell Socie, All Rights Reserved 63 of 65
65 Experimental Results Fatigue of Welds Darrell Socie, All Rights Reserved 64 of 65
66 Things Worth Remembering Local weld toe stresses, geometry and flaws control the life of weldments There are many ways to improve the fatigue strength of welded structures. Fatigue of Welds Darrell Socie, All Rights Reserved 65 of 65
67 Fatigue of Welds
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