Computing bounds to mixed-mode stress intensity factors in elasticity

Archive of Applied Mechanics

Volumn 75, Issue 4-5, 2006, Pages 193-209

  Xuan, Z C ^a   Khoo, B C ^b   Li, Z R ^b  

^a TIANJIN UNIVERSITY OF TECHNOLOGY AND EDUCATION   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Bimaterial; Bounds; Finite elements; Stress intensity factor

Indexed keywords

CRACK INITIATION; EXTRAPOLATION; FUNCTIONS; LINEAR EQUATIONS; STRESS ANALYSIS;

BIMATERIA; BOUNDS; FINITE ELEMENTS; STRESS INTENSITY FACTOR;

ELASTICITY;

EID: 32044468268     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-005-0388-3     Document Type: Article

References (16)

1. Chan, S.K., Tuba, I.S., Wilson, W.K.: On the finite element method in linear fracture mechanics. Eng Fracture Mech 2, 1-17 (1970)
2. Irwin, G.R. Analysis of stresses and strain near the end of a crack transversing a plate. J Appl Mech 24, 361-364 (1957)
3. Rybicki, E.F., Kanninen, M.F.: A finite element calculation of stress factors by a modified crack closure integral. Eng Fracture Mech 9, 931-938 (1977)
4. Rice, J.R.: A path independent integral and approximate analysis of strain concentration by notches and cracks. J Appl Mech 35, 379-386 (1968)
5. Ainsworth, M., Oden, J.T.: A posteriori error estimation in finite element analysis. Wiley, New York (2000)
6. Stein, E. et al. Error-controlled adaptive finite elements in solid mechanics. Wiley, West Sussex (2003)
7. Rannacher, R., Suttmeier, F.T.: A feed-back approach to error control in finite element methods: application to linear elasticity. Computational Mechanics 19, 434-446 (1997)
8. Peraire, J., Patera, A.T.: Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement.In: Ladeveze P, Oden JT (eds) Proceedings of the workshop on new advances in adaptive computational methods in mechanics, Elsevier, Amsterdam (1998)
9. Oden. J.T., Prudhomme, S.: Goal-oriented error estimation and adaptivity for the finite element method. Comput Math Appl 41, 735-756 (2001)
10. Ruter, M., Stein, E.: Goal-oriented a posteriori error estimates in elastic fracture mechanics. In: Fifth World Congress on Computational mechanics, Vienna, Austria (2002)
11. Bank, R.E., Weiser, A.: Some a posteriori error estimators for elliptic partial differential equations. Math Comput 44, 283-301 (1985)
12. Owen, D.R.J., Fawkes, A.J.: Engineering fracture mechanics: numerical methods and applications. Pineridge, Swansea (1983)
13. Malyshev, B.M., Salganik, R.L.: The adhesive joints using the theory of crack. Int J Fracture 1, 114-128 (1965)
14. Hutchinson, J.W., Mear, M., Rice, J.R.: Crack paralleling an interface between dissimilar materials. J Appl Mech 54, 828-832 (1987)
15. Murthy, K.S.R.K., Mukhopadhyay, M.: Adaptive finite element analysis of mixed-mode fracture problems containing multiple crack-tips with an automatic mesh generator. Int J Fracture 108, 251-274 (2001)
16. Yuuki, R., Cho, S.B.: Efficient boundary element analysis of stress intensity factors for intensive cracks in dissimilar materials. Eng Fracture Mech 9, 931-938 (1977)