On analytic constraints and elements methods in modeling stresses near the tips of cracks and V-notches

Materials Science

Volumn 41, Issue 4, 2005, Pages 462-478

  Seweryn, A ^a   Adamowicz, A ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC EQUIPMENT; CRACK PROPAGATION; CRACKS; NOTCHED BAR TENSILE TESTING; PLATES (STRUCTURAL COMPONENTS); STRENGTH OF MATERIALS; STRESSES;

ANALYTIC CONSTRAINTS; ELEMENTS METHODS; FINITE-ELEMENT METHODS; MODELING STRESS FIELDS;

STRESS ANALYSIS;

EID: 32244437622     PISSN: 1068820X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11003-006-0004-x     Document Type: Article

References (20)

1. M. H. Aliabadi and D. P. Rooke, Numerical Fracture Mechanics, Comput. Mech. Publ., Southampton (1991).
2. S. N. Atluri (editor), Computational Methods in the Mechanics of Fracture, North-Holland, Amsterdam (1986).
3. K. Y. Lin and P. Tong, "Singular finite elements for the fracture analysis of V-notched plate," Int. J. Num. Meth. Eng., 15, 1343-1354 (1980).
4. A. Seweryn, "Modelling of singular stress fields using finite element method," Int. J. Solids Struct., 39, 4787-4804 (2002).
5. D. M. Tracey, "Discussion of 'On the use of isoparametric finite element in linear fracture mechanics' by R. S. Barsoum"," Int. J. Num. Meth. Eng., 11, 401-402 (1977).
6. C. L. Chow and K. J. Lan, "On crack surface displacement approaches of finite-element analysis in evaluating stress intensity factors," Int. J. Fract., 12, 488-490 (1976).
7. V. A. Vaishtok, "Comparison of two numerical methods for the evaluation of stress intensity factors," Probl. Prochn., 9, 80-82 (1977).
8. T. K. Hellen, "On the method of virtual crack extensions," Int. J. Num. Meth. Eng., 9, 187-207 (1975).
9. Z. J. Yang, J. F. Chen, and G. D. Holt, "Efficient evaluation of stress intensity factors using virtual crack extension technique," Comput. Struct., 79, 2705-2715 (2001).
10. G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979).
11. H. Ishikawa, H. Kitagawa, and H. Okamura, "J-integral of a mixed-mode crack and its application," in Proc. of the Third Internat. Conf. on the Mechanical Behavior of Materials, 3, Pergamon, Oxford (1980), pp. 447-455.
12. G. B. Sinclair, M. Okajima, and J. H. Griffin, "Path-independent integrals for computing stress intensity factors at sharp notches in elastic plates," Int. J. Numer. Meth. Eng., 20, 999-1008 (1984).
13. G. R. Irwin, "Analysis of stresses and strain near the end of a crack traversing a plate," Trans. ASME, J. Appl. Mech., 24, No. 3, 361-364 (1957)
14. [Discussion: J. Appl. Mech., 25, No. 2, 299-303 (1958)].
15. M. L. Williams, "On the stress distribution at the base of stationary crack," Trans. ASME: J. Appl. Mech., 24, 109-114 (1957).
16. A. Seweryn and K. Molski, "Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions," Eng. Fract. Mech., 55, 529-556 (1996).
17. A. Seweryn and J. Zwolinski, "Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity," Eng. Fract. Mech., 44, 275-281 (1993).
18. D. Vasilopoulos, "On the determination of higher-order terms of singular elastic stress fields near comers," Numer. Math., 53, 51-95 (1988).
19. A. Seweryn, S. Poskrobko, and Z. Mróz, "Brittle fracture in plane elements with sharp notches under mixed-mode loading," J. Eng. Mech. ASCE, 123, 535-543 (1997).
20. M. P. Savruk, P. N. Osiv, and I. V. Prokopchuk, Numerical Analysis in Plane Problems of the Theory of Cracks [in Russian], Naukova Dumka, Kiev (1989).