The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors

International Journal of Solids and Structures

Volumn 40, Issue 15, 2003, Pages 3967-4001

  Kim, Jeong Ho ^a   Paulino, Glaucio H ^a  

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

Author keywords

Finite element method (FEM); Fracture mechanics; Functionally graded material (FGM); Generalized isoparametric formulation (GIF); Interaction integral; Stress intensity factor (SIF)

Indexed keywords

CRACKS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; STIFFNESS; STRESS INTENSITY FACTORS;

SPATIAL COORDINATES;

FUNCTIONALLY GRADED MATERIALS;

COMPOSITE; FRACTURE MECHANICS;

EID: 0038007848     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00176-8     Document Type: Article

References (33)

1. Budiansky B. Rice J.R. Conservation laws and energy-release rates Journal of Applied Mechanics, Transactions ASME 40 1 1973 201-203
2. Chang J.H. Chien A.J. Evaluation of M-integral for anisotropic elastic media with multiple defects International Journal of Fracture 114 3 2002 267-289
3. Christensen R.M. Mechanics of Composite Materials 1979 John Wiley New York
4. Cook R.D. Malkus D.S. Plesha M.E. Witt R.J. Concepts and Applications of Finite Element Analysis fourth ed. 2002 John Wiley - Sons Inc. New York
5. Dolbow J. Gosz M. On the computation of mixed-mode stress intensity factors in functionally graded materials International Journal of Solids and Structures 39 9 2002 2557-2574
6. Gu P. Asaro R.J. Cracks in functionally graded materials International Journal of Solids and Structures 34 1 1997 1-17
7. Hirai T. Functionally gradient materials and nanocomposites Proceedings of the Second International Symposium on Functionally Gradient Materials Holt J.B. Koizumi M. Hirai T. Munir Z.A. Ceramic Transactions vol. 34 1993 11-20 The American Ceramic Society Westerville, OH
8. Kanninen M.F. Popelar C.H. Advanced Fracture Mechanics 1985 Oxford University Press New York
9. Kaysser W.A. Ilschner B. FGM research activities in Europe MRS Bulletin 20 1 1995 22-26
10. Kim J.-H. Paulino G.H. Finite element evaluation of mixed-mode stress intensity factors in functionally graded materials International Journal for Numerical Methods in Engineering 53 8 2002 1903-1935
11. Kim J.-H. Paulino G.H. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials Journal of Applied Mechanics, Transactions ASME 69 4 2002 502-514
12. Kim J.-H. Paulino G.H. Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method Engineering Fracture Mechanics 69 14-16 2002 1557-1586
13. Kim J.-H. Paulino G.H. Mixed-mode J-integral formulation and implementation using graded finite elements for fracture analysis of nonhomogeneous orthotropic materials Mechanics of Materials 35 1-2 2003 107-128
14. Kim, J.-H., Paulino, G.H., 2003b. An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models. International Journal for Numerical Methods in Engineering, in press
15. Kim J.-H. Paulino G.H. T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method Computer Methods in Applied Mechanics and Engineering 192 11-12 2003 1463-1494
16. Kim, J.-H., Paulino, G.H., submitted for publication. Consistent formulations of the interaction integral method for functionally graded materials
17. Knowles J.K. Sternberg E. On a class of conservation laws in linearized and finite elastostatics Archive for Rational Mechanics and Analysis 44 2 1972 187-211
18. Krenk S. On the elastic constants of plane orthotropic elasticity Journal of Composite Materials 13 1979 108-116
19. Lekhnitskii S.G. Anisotropic Plates 1968 Gordon and Breach Science Publishers New York
20. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity 1953 Noordhoff Ltd Holland
21. Ozturk M. Erdogan F. Mode I crack problem in an inhomogeneous orthotropic medium International Journal of Engineering Science 35 9 1997 869-883
22. Ozturk M. Erdogan F. The mixed mode crack problem in an inhomogeneous orthotropic medium International Journal of Fracture 98 3-4 1999 243-261
23. Paulino G.H. Jin Z.H. Dodds R.H.Jr. Failure of functionally graded materials Karihaloo B. Knauss W.G. Comprehensive Structural Integrity vol. 2 2002 Elsevier Science (Chapter 13)
24. Raju I.S. Shivakumar K.N. An equivalent domain integral method in the two-dimensional analysis of mixed mode crack problems Engineering Fracture Mechanics 37 4 1990 707-725
25. Rao B.N. Rahman S. Mesh-free analysis of cracks in isotropic functionally graded materials Engineering Fracture Mechanics 70 1 2002 1-27
26. Rice J.R. Path-independent integral and the approximate analysis of strain concentration by notches and cracks Journal of Applied Mechanics, Transactions ASME 35 2 1968 379-386
27. Sampath S. Herman H. Shimoda N. Saito T. Thermal spray processing of FGMs MRS Bulletin 20 1 1995 27-31
28. Sih G.C. Paris P.C. Irwin G.R. On cracks in rectilinearly anisotropic bodies International Journal of Fracture Mechanics 1 2 1965 189-203
29. Wang S.S. Corten H.T. Yau J.F. Mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity International Journal of Fracture 16 3 1980 247-259
30. Wawrzynek, P.A., 1987. Interactive finite element analysis of fracture processes: an integrated approach. M.S. thesis, Cornell University
31. Wawrzynek, P.A., Ingraffea, A.R., 1991. Discrete modeling of crack propagation: theoretical aspects and implementation issues in two and three dimensions. Report 91-5, School of Civil Engineering and Environmental Engineering, Cornell University
32. Yau, J.F., 1979. Mixed-mode fracture analysis using a conservation integral. Ph.D. thesis, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign
33. Yau J.F. Wang S.S. Corten H.T. A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity Journal of Applied Mechanics, Transactions ASME 47 2 1980 335-341