The splitting method as a tool for multiple damage analysis

SIAM Journal on Scientific Computing

Volumn 26, Issue 4, 2005, Pages 1114-1145

  Babuška, Ivo ^a   Andersson, Börje ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

Author keywords

Multiple cracks; Multisite damage; p version; Splitting method; Stress intensity factors

Indexed keywords

EFFICIENCY; FINITE ELEMENT METHOD; PROBLEM SOLVING; RELIABILITY; STRESS INTENSITY FACTORS;

MULTIPLE CRACKS; MULTISITE DAMAGE; P-VERSION; SPLITTING METHOD;

COMPUTATIONAL METHODS;

EID: 23944523388     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502417167     Document Type: Article

References (24)

1. Airplane Damages Tolerance Requirement, MIL-A-83444 (USAF), U.S. Air Force, 1974.
2. T. SWIFT, Damage tolerance capacity, fatigue of aircraft materials, in Proceedings of the Delft University Press, Delft, 1992, pp. 351-387.
3. I. BABUŠKA AND J. M. MELENK, The partition of unity method, Internat. J. Numer. Methods Engrg., 40, (1997), pp. 727-758.
4. T. STROUBOULIS, K. COPPS, AND I. BABUŠKA, The generalized finite element method, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 4081-4193.
5. C. DUARTE, I. BABUŠKA, AND J. T. ODEN, Generalized finite element methods for three dimensional mechanics problems, Comput. & Structures, 77 (2000), pp. 215-232.
6. C. DAUX, N. MOES, J. DOLBOW, N. SUKUMAR, AND T. BELYTSCHKO, Arbitrary branched and intersecting cracks with extended finite element method, Internat. J. Numer. Methods Engrg., 48 (2001), pp. 1741-1761.
7. C. DUARTE, O. HAMZEH, T. LISZKA, AND W. TWORZYDLO, A generalized finite element method for the simulation of three-dimensional crack propagation, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 2227-2262.
8. B. SMITH, P. BJORSTADT, AND W. GRAP, Domain Decomposition, Cambridge University Press, Cambridge, UK, 1996.
9. P. LE TALLEC, Domain decomposition methods in computational mechanics, Comput. Mech. Adv., 1 (1994), pp. 121-220.
10. T. CHAN AND T. MATHEW, Domain decomposition algorithms, in Acta Numerica, 1994, Cambridge University Press, Cambridge, UK, 1994, pp. 61-143.
11. L. WANG AND S. N. ATLURI, Recent advances in the alternating method for elastic and inelastic fracture analysis, Comput. Methods Appl. Mech. Engrg., 137 (1996), pp. 1-58.
12. H. TADA, P. C. PARIS, AND G. R. IRWIN, The Stress Analysis of Crack Handbook, Del Research Corporation, Hellertown, PA, 1973.
13. B. SZABO, I. BABUŠKA, AND R. ACTIS, A simpler way to handle complex analysis, Machine Design, December 1998.
14. S. A. NAZAROV AND B. A. PLAMENEVSKY, Elliptic Problems in Domains with Piecewise Smooth Boundaries, de Gruyter Exp. Math. 13, Walter de Gruyter, Berlin, 1994, Chapter 3.
15. L. B. WAHLBIN, Local behavior in finite element methods, in Handbook of Numerical Analysis, Vol. II, North-Holland, Amsterdam, 1991, pp. 353-522.
16. I. BABUŠKA AND A. MILLER, The postprocessing approach in the finite element method, II. The calculation of stress intensity factors, Internat. J. Numer. Engrg., 20 (1984), pp. 1111-1129.
17. B. SZABÓ AND I. BABUŠKA, Finite Element Analysis, John Wiley and Sons, New York, 1991.
18. B. ANDERSSON, U. FALK, AND I. BABUŠKA, Accurate and reliable determination of edge and vertex stress intensity factors in three-dimensional elastomechanics, in Proceedings of the 17th Congress of the International Council of the Aeronautical Sciences, Stockholm, 1990, ICAS-90-4.9.2, pp. 1730-1746.
19. B. ANDERSSON, I. BABUSKA, AND P. STEHLIN, Reliable 3D Multiple-Site Fracture Mechanics Analysis, FFA Technical Note 1998-18, Aeronautical Research Institute of Sweden, Stockholm, 1998.
20. K.-F. NILSSON AND B. ANDERSSON, Analysis methodology for fatigue crack propagation and residual strength of joints with widespread fatigue damage, in Proceedings of the 1999 USAF Aircraft Structural Integrity Program (ASIP) Conference, San Antonio, TX, 1999.
21. S. FAWAZ AND B. ANDERSSON, Accurate stress intensity factor solutions for corner cracks at a hole, Engrg. Fracture Mech., 71 (2004), pp. 1235-1254.
22. I. BABUSKA, B. ANDERSSON, AND J. ALPMAN, The Splitting Method for 3D Multiple Damage Analysis, FFA Technical Note 1998-86, Aeronautical Research Institute of Sweden, Stockholm, 1998.
23. B. ANDERSSON, Reliable Analysis, Optimisation and DTA of 3D Bolted Joints, in Proceedings of the International Committee for Aeronautical Fatigue ICAF (ICAF 2003), A. F. Blom, ed., Luzern, 2003.
24. L. V. KANTOROVICH AND G. P. AKILOV, Functional Analysis in Normed Spaces, Pergamon Press, Oxford, New York, 1964.