Trefftz boundary element method applied to fracture mechanics

Engineering Fracture Mechanics

Volumn 64, Issue 1, 1999, Pages 67-86

  Sabino Domingues, J ^a   Portela, A ^b   De Castro, P M S T ^c  

^a INSTITUTO SUPERIOR DE ENGENHARIA DO PORTO   (Portugal)

^b UNIVERSIDADE NOVA DE LISBOA   (Portugal)

^c UNIVERSITY OF PORTO   (Portugal)

Author keywords

Boundary elements; Complex variables; Crack analysis; Linear elasticity; Trefftz analysis

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; CRACK PROPAGATION; ELASTICITY; FUNCTIONS; GALERKIN METHODS; PROBLEM SOLVING; STRESS INTENSITY FACTORS;

CRACK ANALYSIS; LINEAR ELASTICITY; TREFFTZ ANALYSIS;

FRACTURE MECHANICS;

EID: 0033184683     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0013-7944(99)00062-4     Document Type: Article

References (21)

1. Shephard M.S., Yehia N.A.B., Burd G.S., Weidner T.J. Automatic crack propagation tracking. Comput. Struct. 20:1985;211-223.
2. Portela A., Aliabadi M.H., Rooke D.P. The dual boundary element method: effective implementation for crack problems. Int. J. for Num. Methods in Engineering. 33:1992;1269-1287.
3. Brebbia C.A., Dominguez J. Boundary elements - an introductory course. 2nd ed :1992;Computational Mechanics Publications, McGraw-Hill, New York.
4. Trefftz E. Ein Gegenstück zum Ritzschen Verfahren. Proc. 2nd Int. Cong. on Applied Mechanics, Zürich :1926;131-137.
5. Jirousek J. Hybrid-Trefftz plate bending elements with p-method capabilities. Int. J. for Num. Methods in Engineering. 24:1987;1367-1393.
6. Jirousek J., Venkatesh A. Hybrid-Trefftz plane elasticity elements with p-method capabilities. Int. J. for Num. Methods in Engineering. 35:1992;1443-1472.
7. Piltner R. Special finite elements with holes and internal cracks. Int. J. for Num. Methods in Engineering. 21:1985;1471-1485.
8. Piltner R. A quadrilateral hybrid Trefftz plate bending element for the inclusion of warping based on a three-dimensional plate formulation. Int. J. for Num. Methods in Engineering. 33:1992;387-408.
9. Herrena I. Trefftz method. Brebbia C.A. Topics in boundary element method. 1984;Springer, Berlin. (Chapter 10).
10. Patterson C., Sheikh M.A. On the use of fundamental solutions in Trefftz method for potential and elasticity problems. Brebbia C.A. Boundary Element Methods in Engineering, Proc. 4th Int. Conf. on BEM. 1982;43-57 Springer, Berlin.
11. Patterson C., Sheikh M.A. A modified Trefftz method for three dimensional elasticity. Brebbia C.A., Futagami T., Tanaka M. Boundary Elements, Proc. 5th Int. Conf. on BEM. 1983;427-437 Comp. Mech. Pub./Springer, Berlin.
12. Sheikh M.A., Patterson C. A modified Trefftz method for fluid flow. Kawai T. Finite Elements Flow Analysis, Proc. 4th Int. Symp. on Finite Element Methods in Flow Problems, University of Tokyo Press, Tokyo, Japan. 1982;973-980.
13. Freitas JAT, Ji Z-Y. Hybrid-Trefftz equilibrium model for crack problems. Int. J. for Num. Methods in Engineering 1996, Submitted.
14. Piltner R. Trefftz-type boundary elements for plate problems. Kobayashi S., Nishimura N. Boundary element methods - fundamentals and applications. 1992;288-297 Springer, Berlin.
15. Portela A, Charafi A. Trefftz boundary elements: multi-region formulations. Int. J. for Num. Methods in Engineering 1999, Submitted.
16. Kolosov GV. On an application of complex function theory to a plane problem of the mathematical theory of elasticity. Yuriev 1909.
17. Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity. 1953;Noordhoof, Groningen.
18. England A.H. Complex variable methods in elasticity. 1971;Wiley-Interscience, New York.
19. Piltner R. Recent developments in the Trefftz method for finite element and boundary element applications. Advances in Engineering Software. 24:1995;107-115.
20. Rooke D.P., Cartwright D.J. Compendium of stress intensity factors. 1976;The Hillingdon Press, Uxbridge. (1st Ed, HMSO).
21. Murakami Y., et al. Stress intensity factor handbook. 1987;Pergamon Press, Oxford.