A constitutive model for anisotropic materials based on Neuber's rule

Computer Methods in Applied Mechanics and Engineering

Volumn 192, Issue 37-38, 2003, Pages 4237-4255

  Mücke, Roland ^a   Bernhardi, Otto Ernst ^b  

^a ALSTOM SWITZERLAND LTD   (Switzerland)

^b ALSTOM Power Boiler GmbH   (Germany)

Author keywords

Anisotropy; Constitutive model; Fatigue; Hill potential; Lifetime prediction; Neuber rule; Ramberg Osgood equation; Superalloy

Indexed keywords

ANISOTROPY; ENGINEERING; STRESS ANALYSIS;

ANISOTROPIC MATERIALS;

MECHANICS;

STRESS-STRAIN ANALYSIS;

EID: 0141684743     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(03)00415-8     Document Type: Article

References (26)

1. P.M. Farries, M.R. Winstone, Gasturbines-materials make the difference, in: Proceedings of the DERA Symposium, January 21-22, 1999, DERA Farnborough, ISBN 0953525600
2. T.M. Pollock, R.D. Kissinger, R.R Bowman, K.A. Green, M. Mclean, S.L. Olson, J.J. Schirra (Eds.), Superalloys 2000, Proceedings of the 9th International Symposium on Superalloys, September 17-21, 2000, Seven Springs, PA, TMS Publication, Warrendale
3. Bernhardi O.-E. Mücke R. A lifetime prediction procedure for anisotropic materials Commun. Numer. Meth. Engng. 16 2000 519-527
4. Suresh S. Fatigue of Materials, Cambridge Solid State Science Series 1991 Cambridge University Press
5. Neuber H. Theory of stress concentrations for shear strained prismatical bodies with arbitrary nonlinear stress-strain law ASME J. Appl. Mech. 28 1961 544-550
6. Molski K. Glinka G. A method of elastic-plastic stress and strain calculation at a notch root Mater. Sci. Engrg. 50 1 1981 93-100
7. Glinka G. Energy density approach to calculation of inelastic strain-stress near notches and cracks Engrg. Fract. Mech. 22 3 1985 485-508
8. Hoffmann M. Seeger T. A generalized method for estimating multiaxial elastic-plastic notch stresses and strains ASME J. Engrg. Mater. Technol. 107 1985 250-260
9. Sharpe W.N. Yang C.H. Tregoning R.L. An evaluation of the Neuber and Glinka relations for monotonic loading ASME J. Appl. Mech. 59 1992 50-59
10. Visvanatha S.K. Straznicky P.V. Hewitt R.L. Influence of strain estimation methods on life prediction using the local strain approach Int. J. Fatigue 22 2000 675-681
11. Knop M. Jones R. Molent L. 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. Chaudonneret M. Culie J.P. Adaption of Neuber's theory to stress concentration in viscoplasticity Rech. Aerosp. 4 1985 33-40
13. Härkegard G. Sorbo S. Applicability of Neuber's rule to the analysis of stress and strain concentration under creep conditions ASME J. Engrg. Mater. Technol. 120 1998 224-229
14. Betten J. Generalization of nonlinear material laws found in experiments to multi-axial states of stress Eur. J. Mech., A/Solids 8 5 1989 325-339
15. S.M. Tipton, D.V. Nelson, Advances in multiaxial fatigue life prediction for components with stress concentrations, Int. J. Fatigue 19(6) 503-515
16. W. Ramberg, W.R. Osgood, Description of stress-strain curves by three parameters, NACA Technical Note, No. 902, 1943
17. Lemaitre J. Chaboche J.-L. Mechanics of Solid Materials 1990 Cambridge University Press
18. Cowin S.C. Mehrabadi M.M. Anisotropic symmetries of linear elasticity Appl. Mech. Rev. 48 5 1995 247-285
19. Khan A.S. Huang S. Continuum Theory of Plasticity 1995 John Wiley - Sons, Inc.
20. Press W.H. Teukolsky S.A. Vetterling W.T. Flannery B.P. Numerical Recipes 1992 Cambridge University Press Cambridge
21. Kuhn H.-A. Sockel H.-G. Elastic properties of textured and directionally solidified Nickel-based superalloys between 25 and 1200 °C Mater. Sci. Engrg., A 112 1989 117-126
22. R. Mücke, O.-E. Bernhardi, A method to estimate the inelastic response in notched structures of anisotropic materials with elastic-perfectly plastic behaviour, PAMM-Proceedings in Applied Mathematics and Mechanics, GAMM Conference Augsburg, March 25-28, 2002, Wiley InterScience, 2002
23. ABAQUS user's manual, Hibbitt, Karlsson - Sorensen, Inc., Version 6.2, 2001
24. Dowling N.E. Mechanical Behavior of Materials. Engineering Methods for Deformation, Fracture and Fatigue 1999 Prentice-Hall, Inc.
25. G. Marquis, J. Solin (Eds.), Fatigue Design and Reliability, Conference Proceedings: Third International Symposium on Fatigue, May 26-29, 1998, Espoo, ESIS publication, 1999
26. R. Mücke, A probabilistic design approach to lifetime prediction for turbine blades, in: Conference Proceedings ECCOMAS, September 11-14, 2000, Barcelona, CD-ROM, ISBN 84-89925-70-4