Page 298 - Biaxial Multiaxial Fatigue and Fracture

282 A. BUCZYNSKI AND G. GLINKA

REFERENCES
1. Neuber, H., “ Theory of Stress Concentration of Shear Strained Prismatic Bodies with
Arbitrary Non Linear Stress-Strain Law”, ASME Journal of Applied Mechanics, vol.
28, 1961, pp. 544-550.
2. Molski, K. and Glinka, G., “ A Method of Elasticplastic Stress and Strain Calculation
at aNotch Root”, Material Science and Engineering, vol. 50, 1981, pp. 93-100.
3. Moftakhar, A., Buczynski, A. and Glinka, G., “Calculation of Elasto-Plastic Strains
and Stresses in Notches under Multiaxial Loading”, International Journal of
Fracture, vol. 70, 1995, pp. 357-373.
4. Singh, M.N.K., “Notch Tip Stress-Strain Analysis in Bodies Subjected to Non-
Proportional Cyclic Loads”, Ph. D. Dissertation, Dept. Mech. Eng., University of
Waterloo, Ontario, Canada, 1998.
5. Seeger, T. and Hoffman, M., “The Use of Hencky’s Equations for the Estimation of
Multiaxial Elastic-Plastic Notch Stresses and Strains”, Report No. FB-311986,
Technische Hochschule Darmstadt, Darmstadt, 1986.
6. Barkey, M.E., Socie, D.F. and Hsia, K.J., “A Yield Surface Approach to the
Estimation of Notch Strains for Proportional and Non-proportional Cyclic Loading”,
ASME Journal of Engineering Materials and Technology, vol. 1 16, 1994, pp. 173.
7. Moftakhar, A. A., “Calculation of Time Independent and Time-Dependent Strains and
Stresses in Notches”, Ph. D. Dissertation, University of Waterloo, Department of
Mechanical Engineering, Waterloo, Ontario, Canada, 1994.
8. Chu, C. -e., “Incremental Multiaxial Neuber Correction for Fatigue Analysis”,
International Congress and Exposition, Detroit, 1995, SAE Technical Paper
No.950705, Warrendale, 1995.
9. Mroz, Z., “On the Description of Anisotropic Workhardening”, Journal of Mechanics
and Physics of Soli&, vol. 15, 1967, pp. 163- 175.
10. Garud, Y. S., “A New Approach to the Evaluation of Fatigue under Multiaxial
Loading, Journal of Engineering Materials and Technology, ASME, vol. 103, 198 1,
pp. 118-125.
11. Chu, C. -C., “A Three-Dimensional Model of Anisotropic Hardening in Metals and
Its Application to the Analysis of Sheet Metal Forming”, Journal of Mechanics and
Physics of Solids, vo1.32, 1984, pp. 197-212.
12. Barkey, M. E., “Calculation of Notch Strains under Multiaxial Nominal Loading”,
Ph. D. Dissertation, Department of Theoretical and Applied Mechanics, University of
Illinois at Urbana-Champaign, Urbana, 1993.

Appendix: NOMENCLATURE
E - modulus of elasticity

El - plastic modulus
eija - actual elastic-plastic deviatoric strains at the notch tip
ei; - hypothetical elastic devaitoric strains at the notch tip
FEM - finite element eethad

G - shear modulus of elasticity