Computing lower and upper bounds on stress intensity factors in bimaterials

International Journal of Non-Linear Mechanics

Volumn 42, Issue 2, 2007, Pages 336-341

  Xuan, Zhaocheng ^a   Feng, Zhaosheng ^a,b   Gao, David Y ^c  

^a TIANJIN UNIVERSITY OF TECHNOLOGY AND EDUCATION   (China)

^b UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Bimaterials; Bounds; Finite elements; Stress intensity factors

Indexed keywords

COMPUTATIONAL METHODS; CRACK PROPAGATION; ENERGY RELEASE RATE; ERROR ANALYSIS; EXTRAPOLATION; FINITE ELEMENT METHOD;

BIMATERIALS; CRACK PROBLEM '; LINEAR FUNCTION; UPPER BOUNDS;

STRESS INTENSITY FACTORS;

EID: 34247472915     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2006.12.007     Document Type: Article

References (19)

1. Gao D.Y. Panpenalty finite element programming for limit analysis. Comput. Struct. 28 (1988) 749-755
2. Gao D.Y. Bounding theorem on finite dynamic deformations of plasticity. Mech. Res. Commun. 17 (1990) 33-39
3. Gao D.Y. Duality Principles in Nonconvex Systems: Theory, Methods and Applications (2000), Kluwer Academic Publishers, Boston
4. Paraschivoiu M., Peraire J., and Patera A.T. A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations. Comput. Methods Appl. Mech. Eng. 150 (1997) 289-312
5. Peraire J., and Patera A.T. Bounds for linear-functional outputs of coercive partial differential equations: local indicators and adaptive refinement. In: Ladeveze P., and Oden J.T. (Eds). Proceedings of the Workshop on New Advances in Adaptive Computational Methods in Mechanics (1998), Elsevier, Amsterdam
6. Prudhomme S., and Oden J.T. On goal-oriented error estimation for local elliptic problems: application to the control of pointwise errors. Comput. Methods Appl. Mech. Eng. 176 (1999) 313-331
7. Oden J.T., and Prudhomme S. Goal-oriented error estimation and adaptivity for the finite element method. Comput. Math. Appl. 41 (2001) 735-756
8. Chan S.K., Tuba I.S., and Wilson W.K. On the finite element method in linear fracture mechanics. Eng. Fract. Mech. 2 (1970) 1-17
9. Owen D.R.J., and Fawkes A.J. Engineering Fracture Mechanics: Numerical Methods and Applications (1983), Pineridge, Swansea
10. Murthy K.S., and Mukhopadhyay M. Adaptive finite element analysis of mixed-mode fracture problems containing multiple crack-tips with an automatic mesh generator. Int. J. Fract. 108 (2001) 251-274
11. Z.C. Xuan, K.H. Lee, A.T. Patera, J. Peraire, Computing upper and lower bounds for the J-integral in two-dimensional linear elasticity, SMA Symposium, 2004.
12. Xuan Z.C., Khoo B.C., and Li Z.R. Computing bounds to mixed mode stress intensity factors in elasticity. Arch. Appl. Mech. 75 (2006) 193-205
13. Bank R.E., and Weiser A. Some a posteriori error estimators for elliptic partial differential equations. Math. Comput. 44 (1985) 283-301
14. Ainsworth M., and Oden J.T. A posteriori Error Estimation in Finite Element Analysis (2000), Wiley, New York
15. Dundurs J. Effect of elastic constants on stress in a composite under plane deformation. J. Compos. Mater. 1 (1967) 310-322
16. Dundurs J. Discussion of a paper by D.B. Bogy. ASME J. Appl. Mech. 36 (1969) 650-652
17. Malyshev N.M., and Salganik R.L. The adhesive joints using the theory of crack. Int. J. Fract. 1 (1965) 114-128
18. Hutchinson J.W., Mear M., and Rice J.R. Crack paralleling an interface between dissimilar materials. ASME J. Appl. Mech. 54 (1987) 828-832
19. Yuuki R., and Cho S.B. Efficient boundary element analysis of stress intensity factors for intensive cracks in dissimilar materials. Eng. Fract. Mech. 9 (1977) 931-938