The 3-D BEM implementation of a numerical Green's function for fracture mechanics applications

International Journal for Numerical Methods in Engineering

Volumn 48, Issue 8, 2000, Pages 1199-1214

  Castor, G S ^a   Telles, J C F ^a,b  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FEDERAL UNIVERSITY OF MATO GROSSO   (Brazil)

Author keywords

Boundary elements; Fracture mechanics; Green's functions; Hyper singular formulations

Indexed keywords

COMPLEX VARIABLE THEORY; CRACK GEOMETRY; HYPER SINGULAR FORMULATION;

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CRACKS; FRACTURE MECHANICS; GEOMETRY; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; THREE DIMENSIONAL; TWO DIMENSIONAL;

BOUNDARY ELEMENT METHOD;

BOUNDARY ELEMENT METHOD; FRACTURE MECHANICS;

EID: 0034234739     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(20000720)48:8<1199::AID-NME944>3.0.CO;2-7     Document Type: Article

References (14)

1. Snyder MD, Cruse TA. Boundary integral equation analysis of cracked anisotropic plates. International Journal of Fracture 1975; 11:315-328.
2. Telles JCF, Castor GS, Guimarães S. A numerical Green's function approach for boundary elements applied to fracture mechanics. International Journal for Numerical Methods in Engineering 1995; 38:3259-3274.
3. Barra LPS, Telles JCF. A hyper-singular numerical; Green's function generation for BEM applied to dynamic SIF problems. Engineering Analysis with Boundary Elements 1999; 23:77-87.
4. Silveira NPP, Guimarães S, Telles JCF. Accurate hypersingular integral computations in the development of numerical Green's functions for Fracture Mechanics. In Singular Integrals in Boundary Element Methods, Chapter 6. Sladek V, Sladek J (eds). Computational Mechanics Publications: Southampton, 1998.
5. Guimarães S, Telles JCF. On the hyper-singular boundary element formulation for fracture mechanics applications. Engineering Analysis with Boundary Elements 1995; 13:353-363.
6. Brebbia CA, Telles JCF, Wrobel LC. Boundary Element Techniques: Theory and Applications in Engineering. Springer: Berlin, 1984.
7. Kutt HR. Quadrature formulae for finite part integrals. Report WISK 178, The National Research Institute for Mathematical Sciences, Pretoria, 1975.
8. Telles JCF. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals. International Journal for Numerical Methods in Engineering 1987; 24:956-973.
9. Rooke DP, Cartwright DJ. Compendium of Stress Intensity Factors. HMSO: London, 1974.
10. Kassir MK, Sih GC. Griffith's theory of brittle fracture in three dimensions. International Journal of Engineering Science 1967; 5:899-918.
11. Kassir MK, Sih GC. Three-dimensional stress distribution around an elliptical crack under arbitrary loadings. Journal of Applied Mechanics 1996; 33:601-611.
12. Tsai YM. Stress distribution, crack shape and energy for a penny-shaped crack in a plate of finite thickness. Engineering Fracture Mechanics 1972; 4:155-169.
13. Tracey DM. Conference on Finite Element Techniques in Fracture Mechanics, Stuttgart, Germany, April 16-17, 1973.
14. Zheng XJ, Kiciak A, Glinka G. Weight functions and stress intensity factors for internal surface semi-elliptical crack in thick-walled cylinder. Engineering Fracture Mechanics 1997; 58:207-221.