An adaptive space-time finite element model for oxidation-driven fracture

Computer Methods in Applied Mechanics and Engineering

Volumn 157, Issue 3-4, 1998, Pages 399-423

  Carranza, F L ^a   Fang, B ^a   Haber, R B ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK PROPAGATION; DEFORMATION; FINITE ELEMENT METHOD; INTEGRATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; OXIDATION; STRESS ANALYSIS; VISCOPLASTICITY;

GALERKIN FORMULATIONS; OXIDATION DRIVEN FRACTURE; STRESS ENHANCED DIFFUSIVE TRANSPORT;

FRACTURE MECHANICS;

CRACK PROPAGATION; FATIGUE CRACK; FINITE ELEMENT METHOD; FRACTURE; OXIDATION;

EID: 0032507578     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00248-X     Document Type: Article

References (32)

1. [1] I. Babuska and D. Yu, Asymptotically exact a-posteriori error estimator for the biquadratic elements, Tech. note BN-1050, Institute for Physical Science and Technology, Laboratory for Numerical Analysis, University of Maryland, College Park, Maryland, 1986.
2. [2] P.L. Baehman, M.S. Shephard and J.E. Flaherty, A-posteriori error estimator for triangular and tetrahedral quadratic elements using interior residuals, Int. J. Numer. Methods Engrg. 34 (1992) 979-996.
3. [3] K.R. Bain and R.M. Pelloux, Effect of environment on creep crack growth in PM/HIP René-95, Met. Trans. 15A (1984) 381-388.
4. [4] G.I. Barenblatt, Mathematical theory of equilibrium cracks in brittle fracture, Adv. Appl. Mech. 7 (1962) 55-129.
5. [5] A. Berkovits, S. Nadiv and G. Shalev, Microstructural processes in high temperature low cycle fatigue of MAR-M200 + Hf, Acta Metall. Mater. 45 (1995) 2605-2613.
6. [6] K.S. Bey and J.T. Oden, hp-version discontinuous Galerkin methods for hyperbolic conservation laws, Comput. Methods Appl. Mech. Engrg. 133 (1996) 259-286.
7. [7] F.L. Carranza, B. Fang and R.B. Haber, A moving cohesive interface model for fracture in creeping materials, Comput. Mech. 19 (1997) 517-521.
8. [8] K.-M. Chang, M.F. Henry and M.G. Benz, Metallurgical control of fatigue crack propagation in superalloys, J. Metals Matls. (1990) 29-35.
9. [9] D. Dugdale, Yielding of steel sheets containing slits, J. Mech. Phys. Solids 8 (1960) 100-108.
10. [10] D.J. Dwyer, X.J. Pang, M. Gao and R.P. Wei, Surface enrichment of niobium on Inconel 718 (100) single crystals, Appl. Surf. Sci. 81 (1994) 229-235.
11. [11] T. Ericsson, Review of oxidation effects on cyclic life at elevated temperature, Canadian Met. Quart. 18 (1979) 177-195.
12. [12] M. Gao and R.P. Wei, Grain boundary γ″ precipitation and niobium segregation in Inconel 718. Scripta Metall. Mater. 32 (1995) 987-990.
13. [13] M. Gao, D.J. Dwyer and R.P. Wei, Niobium enrichment and environmental enhancement of creep crack growth in nickel-base superalloys, Scripta Metall. Mater. 32 (1995) 1169-1174.
14. [14] S. Govindgee and J.C. Simo, Coupled stress-diffusion: case II, J. Mech. Phys. Solids 41 (1993) 863-887.
15. [15] T.J.R. Hughes, L.P. Franca and M. Mallet, A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations, Comput. Methods Appl. Mech. Engrg. 73 (1989) 173-189.
16. [16] T.J.R. Hughes, Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods, Comput. Methods Appl. Mech. Engrg. 127 (1995) 387-401.
17. [17] R.G. Iacocca and D.A. Woodford, The kinetics of intergranular oxygen penetration in nickel and its relevance to weldment cracking, Metall. Trans. 19A (1988) 2305-2313.
18. [18] C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method (Cambridge University Press, Cambridge, 1987).
19. [19] K.S. Kim and R.H. Van Stone, Elevated temperature crack growth, Final Report, NASA CR-189191, 1992.
20. [20] E.H. Lee, Elastic plastic deformations at finite strains, J. Appl. Mech. 36 (1969) 1-6.
21. [21] H.S. Lee and R.B. Haber, Eulerian-Lagrangian methods for crack growth in creeping materials, in: D.J. Benson and R.A. Asaro, eds., Advanced Computational Methods for Material Modeling, AMD-VO1. 180/PVP-Vol. 268 (1993) 141-153.
22. [22] L.E. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice Hall, Englewood Cliffs, NJ, 1969).
23. [23] R. Molins and E. Andrieu, Analytical TEM study of the oxidation of nickel based superalloys, Journal de Physique IV 3 (1993) 469-475.
24. [24] B. Moran, M. Ortiz and F. Shih, Formulation of finite element methods for multiplicative finite deformation plasticity, Int. J. Numer. Methods Engrg. 29 (1990) 483-514.
25. [25] X.J. Pang, D.J. Dwyer, M. Gao, P. Valerio and R.P. Wei, Surface enrichment and grain boundary segregation of niobium in Inconel 718 single- and poly-crystals, Scripta Metall. Mater. 31 (1994) 345-350.
26. [26] J.R. Rich, Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation methanism, in: A.S. Argon, ed., Constitutive Equations in Plasticity (MIT Press, Cambridge, MA, 1975) 23-79.
27. [27] V. Tvergaard and J.W. Hutchinson, The relation between crack growth resistance and fracture process parameters in elastic-plastic solids, J. Mech. Phys. Solids 40 (1992) 1377-1397.
28. [28] P. Valerio, M. Gao and R.P. Wei, Environmental enhancement of creep crack growth in Inconel 718 by oxygen and water vapor, Scripta Metall. Mater. 30 (1994) 1269-1274.
29. [29] G. Weber and L. Anand, Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids, Comput. Methods Appl. Mech. Engrg. 79 (1990) 173-202.
30. [30] R.K. Wilson and E.C. Aifantis, On the theory of stress-assisted diffusion, I, Acta Mecanica 45 (1982) 273-296.
31. [31] D.A. Woodford and R.H. Bricknell, Treatise on Materials Science and Technology, Vol. 25 (Academic Press, New York, 1983) 157.
32. [32] X.-P. Xu and A. Needleman, Numerical simulations of fast crack crack growth in brittle solids, J. Mech. Phys. Solids 42 (1994) 1397-1434.