Numerical modelling of P/M steel bars subjected to fatigue loading using an extended Gurson model

European Journal of Mechanics, A/Solids

Volumn 23, Issue 6, 2004, Pages 899-908

  Cedergren, Joakim ^a   Melin, Solveig ^a   Lidström, Per ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

Fatigue loading; Finite elements; Gurson model; Porous material; Rate dependence

Indexed keywords

COMPUTER SIMULATION; CYCLIC LOADS; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; HARDNESS; KINEMATICS; POROUS MATERIALS; THERMAL EFFECTS;

FATIGUE LOADINGS; FINITE ELEMENTS; GURSON MODELS; LOADING FREQUENCY; RATE DEPENDENCE;

STEEL;

EID: 7544238353     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2004.08.002     Document Type: Article

References (24)

1. Becker; R., Needleman, A., 1986. Effect of yield surface curvature on necking and failure in porous plastic solids. J. Appl. Mech. 53, 491-499.
2. Belytschko, T., Chiapetta, R.L., Bartel, H.D., 1976. Efficient large scale non-linear transient analysis by finite elements. Jut J. Numer. Methods Engrg. 10, 579-596.
3. Cedergren, J. Melin, S., Lidström, P., 2004. Nnmerical investigation of P/M manufactured gear wheels subjected to fetigue loading, submitted for publication.
4. Cedergren, J., Sörensen, N.J., Bergmark, A., 2002. Three-dimensional analysis of compaction of metal powder. Mech. Mater. 34, 43-59.
5. Cedergren, J., Sørensen, N J., Melin, S., 2003. Numerical investigation of powder compaction of gear wheels. Int. J. Solids Structures 40, 4989-5000.
6. Chu, C.C., Needleman, A., 1980. Void nucleation effects in biaxially stretched thin sheets. J. Engrg. Mater. Techn. 102, 249-256.
7. Gao, X., Shih, C.F., Tvergaard, V., Needleman, A., 1996. Constraint effects on the ductile-brittle transition in small scale yielding. J. Mech. Phys. Solids 44 (8), 1255-1282.
8. Gurson, A.L., 1977. Continuum theory of ductile rapture by void nucleation and growth: Part 1, Yield criteria and flow rules for porous ductile media. J. Eng. Matr. Tech. 99, 2-15.
9. Mear, M.E., Hutchinson, J.W., 1985. Influence of yield surface curvature of flow localization in dilatant plasticity. Mech. Mater. 4, 395-407.
10. Nachtegaal, J., Parks, D.M., Rice, J.R., 1974. On the numerical accurate finite element solutions in the fully plastic range. Computer Method Appl. Mech. Engrg. 4, 153-177.
11. Nans, D.J., Bass, B.R., Keeney-Walker, J., Fields, R.J., De Wit, R., Low III, S.R., 1990. HSST wide-plate test results and-analysis. Nuclear Engrg. Design 118, 283-295.
12. Naus, D.J., Keeney-Walker, J., Bass, B.R., Fields, R.J., De Wit, R., Low III, S.R., 1989. High-temperature crack-arrest behavior in 152-mm-thick SEN wide plates of quenched and temperad A533 grade B class 1 Steel. NUREG/CR-5330(ORNL/TM-11083), Oak Ridge National Laboratory, National Institute of Standards and Technology, April 1989.
13. Krieg, R.D., Key, S.W., 1973. Transient shell response by numerical time integration, Int. J. Numer. Methods Engrg. 7, 273-286.
14. Odqvist, F.K.G., 1966. Mathematical Theory of Creep and Creep Rapture. Clarendon, Oxford.
15. Peirce, D., Shih, C.F., Needleman, A., 1984. A tangent modulus method for rate dependent solids. Comput & Structures 18, 875-887.
16. Rice, J.R., 1971. Inelastic constitutive relations tor solids: an internal-variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19, 433-455.
17. Ristinmaa, M., 1997. Void growth in cyclic loaded porous plastic solid. Mech. Mater. 26 (4), 227-245.
18. Simo, J.C., Miehe, C., 1992. Associative coupled thermoplasticity of finite strains: Formulation, numerical analysis and implementation. Comput. Methods Appl. Mech. Engrg. 98, 41-104.
19. Taylor, G., Quinney, H., 1934. The latent energy remaining in metal after cold working. Proc. R. Soc. London A 143, 307-326.
20. Tvergaard, V., 1981. Influence of voids on shear band instabilities under plane strain conditions, Int. J. Fract. 17, 389-407.
21. Tvergaard, V., 1982. On localization in ductile materials containing spherical voids. Int. J. Fract. 18, 237-252.
22. Tvergaard, V., 1990. Material feilnre by void growth to coalescence. Adv. Appl. Mech. 27, 83-151.
23. Tvergaard, V., Needleman, A., 1984. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 32, 157-169.
24. Tvergaard, V., Needleman, A., 1995. Effects of nonlocal damage in porous plastic solids, Int. J. Solids Structures 32 (8/9), 1063-1077.