A unified expression of elastic-plastic notch stress-strain calculation in bodies subjected to multiaxial cyclic loading

International Journal of Solids and Structures

Volumn 45, Issue 24, 2008, Pages 6177-6189

  Ye, Duyi ^a   Hertel, Olaf ^b   Vormwald, Michael ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Approximate method; Multiaxial cyclic loading; Notch tip stress strain; Thermodynamics analysis

Indexed keywords

ABS RESINS; CONTROL THEORY; CYCLIC LOADS; DEFORMATION; DYNAMIC LOADS; DYNAMICS; ELASTOPLASTICITY; ENERGY CONVERSION; ESTIMATION; PLASTIC DEFORMATION; PLASTICS; STRUCTURAL LOADS; THERMODYNAMICS; WELDS;

APPROXIMATE METHOD; MULTIAXIAL CYCLIC LOADING; NOTCH-TIP STRESS-STRAIN; THERMODYNAMICS ANALYSIS;

STRAIN;

EID: 53249083933     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.07.012     Document Type: Article

References (27)

1. Businko K.N., and Blinov E.I. Analytical determination of stored energy. Translated from Fiziko-Khimicheskaya Mekhanika Materialov 12 (1976) 90-94
2. Ellyin F., and Kujawski D. Generalization of notch analysis and its extension to cyclic loading. Eng. Fract. Mech. 32 (1989) 819-826
3. Glinka G. Calculation of inelastic notch-tip strain-stress histories under cyclic loading. Eng. Fract. Mech. 22 5 (1985) 839-854
4. Godfrey A., Cao W.Q., Hansen N., and Liu Q. Stored energy, microstructure, and flow stress of deformed metals. Metall. Mater. Trans. 36A (2005) 2371-2378
5. Gu R.J., and Lee Y.-L. A new method for estimating nonproportional notch-root stresses and strains. J. Eng. Mater. Technol. (Trans. ASME) 119 1 (1997) 40-245
6. Hertel O., Vormwald M., Seeger T., et al. Notch stress and strain approximation procedures for application with multiaxial nonproportional loading. MP Mater. Testing 47 5 (2005) 268-277
7. Hoffmann M., and Seeger T. A generalized method for estimating multiaxial elastic-plastic notch stresses and strains. Part I: Theory/Part II: Application and general discussion. J. Eng. Mater. Technol. (Trans. ASME) 107 10 (1985) 250-260
8. Jiang Y., and Sehitoglu H. Modeling of cyclic ratchetting plasticity: part I - development of constitutive equations. J. Appl. Mech. (Trans. ASME) 63 (1996) 720-725
9. Jiang Y., and Xu B. Deformation analysis of notched components and assessment of approximate method. Fatigue Fract. Eng. Mater. Struct. 24 (2001) 729-740
10. Klesnil M., and Lukas P. Fatigue of Metallic Materials (1980), Elsevier, Amsterdam
11. Knop M., Joues R., Molent L., and Wang C. On the Glinka and Neuber methods for calculating notch tip strains under cyclic load spectra. Int. J. Fatigue 22 (2000) 743-755
12. Moftakhar A., Buczynski A., and Glinka G. Calculation of elasto-plastic strains and stresses in notches under multiaxial loading. Int. J. Fract. 70 (1995) 357-372
13. Molski K., and Glinka G. A method of elastic-plastic stress and strain calculation at a notch root. Mater. Sci. Eng. 50 (1981) 93-100
14. Neuber H. Theory of stress concentration for shear-strained prismatic bodies with arbitrary nonlinear stress-strain law. J. Appl. Mech. (Trans. ASME) 28 12 (1961) 544-549
15. Newport A., and Glinka G. Effect of notch-strain calculation method on fatigue-crack-initiation predictions. Exp. Mech. 30 2 (1990) 208-216
16. Seeger T., and Heuler P. Generalized application of Neuber's rule. J. Testing Eval. 8 (1980) 199-204
17. Sharpe Jr. W.N. An evaluation of the Neuber and Glinka relations for monotonic loading. J. Appl. Mech. (Trans. ASME) 59 (1992) S50-S56
18. Singh M.N.K., Clinka G., and Dubey R.N. Elastic-plastic stress-strain calculation in notched bodies subjected to non-proportional loading. Int. J. Fract. 76 (1996) 39-7660
19. Skelton R.P. Cyclic stress-strain properties during high strain fatigue. In: Skelton R.P. (Ed). High Temperature Fatigue-properties and Prediction (1987), Elsevier Applied Science, London, New York
20. Suresh S. Fatigue of Materials (1998), Cambridge University Press, UK
21. Topper T.H., Wetzel R.M., and Morrow J. Neuber's rule applied to fatigue of notched specimens. J. Mater. 4 1 (1969) 200-209
22. Visvanatha S.K., Straznicky P.V., and Hewitt R.L. Influence of strain estimation methods on life predictions using the local strain approach. Int. J. Fatigue 22 (2000) 675-681
23. Wang K.C., and Sharpe Jr. W.N. Evaluation of a modified cyclic Neuber's relation. J. Eng. Mater. Technol. (Trans. ASME) 113 (1991) 350-353
24. Widyatmoko I., Ellis C., and Read J.M. Energy dissipation and the deformation resistance of bituminous mixtures. Mater. Struct. 32 (1999) 218-223
25. Wu H.-c. Continuum Mechanics and Plasticity (2005), CRC Press, Boca Raton, FL
26. Ye D., Matsuoka S., Suzuki N., and Maeda Y. Further investigation of Neuber's rule and the equivalent strain energy (ESED) method. Int. J. Fatigue 26 (2004) 447-455
27. Zhou H., and Huang M. Strength of Metallic Materials (1989), Science Publication, Beijing