This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Analytic Solution of Mode I Stress Intensity Factor for Spot Welds in Lap-Shear Specimens
Technical Paper
2006-01-0535
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
The analytic solution of the mode I stress intensity factor for spot welds in lap-shear specimens is investigated based on the classical Kirchhoff plate theory for linear elastic materials. Approximate closed-form solutions for a finite square plate containing a rigid inclusion under counter bending conditions are first derived. Based on the J integral, the closed-form structural stress solution is used to develop the analytic solution of the mode I stress intensity factor for spot welds in lap-shear specimens of finite size. Finally, the analytic solution of the mode I stress intensity factor based on the stress solution for a finite square plate with an inclusion is compared with the results of the three-dimensional finite element computations for lap-shear specimens with various ratios of the specimen half width to the nugget radius. The results indicate that the mode I stress intensity factor solution based on a finite square plate with an inclusion agrees well with the computational results for lap-shear specimens.
Topic
Citation
Lin, P., Pan, J., and Wang, D., "Analytic Solution of Mode I Stress Intensity Factor for Spot Welds in Lap-Shear Specimens," SAE Technical Paper 2006-01-0535, 2006, https://doi.org/10.4271/2006-01-0535.Also In
References
- Zhang, S. 1999 Approximate Stress Intensity Factors and Notch Stresses for Common Spot-Welded Specimens Welding Journal 78 173s 179s
- Pook, L. P. 1975 Fracture Mechanics Analysis of the Fatigue Behaviour of Spot Welds International Journal of Fracture 11 173 176
- Pook, L. P. 1979 Approximate Stress Intensity Factors Obtained from Simple Plane Bending Theory Engineering Fracture Mechanics 12 505 522
- Radaj, D. Zhang, S. 1991 Stress Intensity Factors for Spot Welds between Plates of Unequal Thickness Engineering Fracture Mechanics 39 391 413
- Radaj, D. Zhang, S. 1991 Simplified Formulae for Stress Intensity Factors of Spot Welds Engineering Fracture Mechanics 40 233 236
- Radaj, D. Zhang, S. 1992 Stress Intensity Factors for Spot Welds between Plates of Dissimilar Materials Engineering Fracture Mechanics 42 407 426
- Sheppard, S. D. 1993 Estimation of Fatigue Propagation Life in Resistance Spot Welds Advances in Fatigue Lifetime Predictive Techniques Second Mitchell, M. R. Landgraf, R. W. American Society for Testing and Materials 169 185
- Swellam, M. H. Banas, G. Lawrence, F. V. 1994 A Fatigue Design Parameter for Spot Welds Fatigue and Fracture of Engineering Materials and Structures 17 10 1197 1204
- Zhang, S. 1997 Stress Intensities at Spot Welds International Journal of Fracture 88 167 185
- Zhang, S. 2001 Fracture Mechanics Solutions to Spot Welds International Journal of Fracture 112 247 274
- Radaj, D. 1989 Stress Singularity, Notch Stress and Structural Stress at Spot-Welded Joints Engineering Fracture Mechanics 34 495 506
- Salvini, P. Vivio, F. Vullo, V. 2000 A Spot Weld Finite Element for Structural Modeling International Journal of Fatigue 22 645 656
- Muskhelishvili, N. I. 1953 Some Basic Problems of the Mathematical Theory of Elasticity Noordhoff, Groningen
- Rieβner, Von H. 1929 1 72 83
- Goland, M. 1943 The Influence of the Shape and Rigidity of an Elastic Inclusion on the Transverse Flexure of Thin Plates Journal of Applied Mechanics 10 A-69 A-75
- Timoshenko, S. Woinowsky-Krieger, S. 1950 Theory of Plates and Shells McGrow-Hill New York, NY
- Radaj, D. Zhaoyun, Z. Möhrmann, W. 1990 Local Stress Parameters at the Weld Spot of Various Specimens Engineering Fracture Mechanics 37 933 951
- Pan, N. Sheppard, S. D. 2003 Stress Intensity Factors in Spot Welds Engineering Fracture Mechanics 70 5 671 684
- Wang, D.-A. Lin, S.-H. Pan, J. 2005 Stress Intensity Factors for Spot Welds and Associated Kinked Cracks in Cup Specimens International Journal of Fatigue 27 581 598
- Wang, D.-A. Lin, P.-C. Pan, J. 2005 Geometric Functions of Stress Intensity Factor Solutions for Spot Welds in Lap-Shear Specimens International Journal of Solids and Structures 42 6299 6318
- Wang, D.-A. Pan, J. 2005 A Computational Study of Local Stress Intensity Factor Solutions for Kinked Cracks near Spot Welds in Lap-Shear Specimens International Journal of Solids and Structures 42 6277 6298
- Lin, P.-C. Wang, D.-A. Pan, J. 2005 Mode I Stress Intensity Factor Solutions for Lap-Shear Specimens
- Rice, J. R. 1968 A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks Journal of Applied Mechanics 35 379 386