This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Notch Stress and Strain Estimation Considering Multiaxial Constraint
Annotation ability available
Sector:
Language:
English
Abstract
The uniaxial cyclic stress-strain curve is frequently used in fatigue analysis of stress concentrations, or notches, under unidirectional loading (tension or bending). However, constraint on transverse strain often causes considerable notch root multiaxiality, even when nominal stresses are uniaxial. A straightforward technique is developed for correcting the uniaxial stress-strain curve to explicitly account for notch root multiaxiality. The corrected curve is then used with a conventional Neuber's Rule analysis to more accurately estimate the state of stress and strain within a notch. Results agree favorably with elastic-plastic finite element results and limited experimental data from a shaft with circumferential notches in bending or torsion. Numerical results from the proposed approach were also in agreement with finite element predictions from a round bar with a through hole in tension.
Recommended Content
Topic
Citation
Klann, D., Tipton, S., and Cordes, T., "Notch Stress and Strain Estimation Considering Multiaxial Constraint," SAE Technical Paper 930401, 1993, https://doi.org/10.4271/930401.Also In
References
- Bannantine, J.A. A Variable Amplitude Multiaxial Fatigue Life Prediction Method The University of Illinois Champaign, Illinois 1989
- Chu, C.C. Conle, F.A. Bonnen, J.J.F. “Multiaxial Stress-Strain Modeling and Fatigue Life Prediction of SAE Axle Shafts,” Multiaxial Fatigue , ASTM STP San Diego Symposium 1991
- Fuchs, H.O. Stephens, R.I. Metal Fatigue in Engineering John Wiley and Sons New York, N.Y. 1980
- Bannantine, J.A. Comer, J.J. Handrock, J.H. Fundamentals of Metal Fatigue Analysis Prentice Hall New Jersey 1990
- Fatigue Design Handbook Society of Automotive Engineers Warrendale, Pa 1990
- Dowling, N.E. Brose, W.R. Wilson, W.K. “Notched Member Fatigue Life Predictions by the Local Strain Approach,” Fatigue Under Complex Loading: Analyses and Experiments Society of Automotive Engineers, AE-6 Pa 1977 55 84
- Neuber, H. “Theory of Stress Concentration for Shear-Strained Prismatical Bodies with Arbitrary Nonlinear Stress-Strain Law,” Journal of Applied Mechanics American Society of Mechanical Engineers December 1961 544 550
- Tipton, S. M. “A Review of the Development and Use of Neuber's Rule for Fatigue Analysis,” Society of Automotive Engineers, technical paper number 910165 February 1991
- Hoffman, M. Seeger, T. “A Generalized Method for Estimating Multiaxial Elastic-Plastic Notch Stresses and Strains, Parts 1 and 2,” Journal of Engineering Materials and Technology, Transactions of the ASME 107 October 1985 250 260
- Hoffman, M. Seeger, T. “Stress-Strain Analysis and Life Predictions of a Notched Shaft Under Multiaxial Loading,” Multiaxial Fatigue: Analysis and Experiments Society of Automotive Engineers, AE-14 Warrendale, Pa 1989 81 99
- Ramberg, W. Osgood. W. “Description of Stress-Strain Curves by Three Parameters,” NACA TN 902 1943
- Nadai, A. Theory of Flow and Fracture of Solids 2nd 1 McGraw Hill Book Company 1950 2 1963
- Kurath P. Downing, S.D. Galliart, D.R. “Summary of Non-Hardened Notched Shaft Round Robin Program,” Multiaxial Fatigue: Analysis and Experiments Society of Automotive Engineers, AE-14 Warrendale, Pa 1989 13 31
- Seeger, T. Heuler, P. “Generalized Application of Neuber's Rule,” Journal of Testing and Evaluation , JTEVA 8 4 July 1980 199 204
- Smith, K. N. Watson, P. Topper, T.H. “A Stress-Strain Function for the Fatigue of Metals” Journal of Materials , JMLSA 5 4 December 1970 767 778
- Socie, D.F. “Multiaxial Fatigue Damage Models,” Journal of Engineering Materials and Technology American Society of Mechanical Engineers 109 October 1987 293 298