Aggressive submodelling of stress concentrations

International Journal for Numerical Methods in Engineering

Volumn 46, Issue 6, 1999, Pages 889-909

  Cormier, N G ^a   Smallwood, B S ^a   Sinclair, G B ^a   Meda, G ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Global local analysis; Submodelling; Substructuring; Zooming

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; STRESS CONCENTRATION;

GLOBAL-LOCAL ANALYSIS; STRESS GRADIENTS;

STRESS ANALYSIS;

EID: 0032672779     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19991030)46:6<889::AID-NME699>3.0.CO;2-F     Document Type: Article

References (40)

1. ANSYS personnel, ANSYS User's Manual, Revision 5.2, vol. 1. ANSYS Inc: Canonsburg, Pennsylvania, 1995.
2. Briggs WL. A Multigrid Tutorial. Lancaster Press: Lancaster, Pennsylvania, 1988.
3. Parsons ID, Hall JF. The multigrid method in solid mechanics: Part 1 - algorithm description and behaviour. International Journal for Numerical Methods in Engineering 1990; 29:719-737.
4. Parsons ID, Hall JF. The multigrid method in solid mechanics: Part 2 - practical applications. International Journal for Numerical Methods in Engineering 1990; 29:739-753.
5. Storti M, Nigro N, Idelsohn S. Multigrid methods and adaptive refinement techniques in elliptic problems by finite element methods. Computer Methods in Applied Mechanics and Engineering 1991; 93:13-30.
6. Steele JM. Applied Finite Element Modeling. Marcel Dekker: New York, 1989.
7. Farhat C, Maman N, Brown GW. Mesh partitioning for implicit computations via iterative domain decomposition: impact and optimization of the subdomain aspect ratio. International Journal for Numerical Methods in Engineering 1995; 38:989-1000.
8. Noor AK, Kamel HA, Fulton RE. Substructuring techniques - status and projections. Computers and Structures 1978; 8:621-632.
9. Dodds Jr RH, Lopez LA. Substructuring in linear and nonlinear analysis. International Journal for Numerical Methods in Engineering 1980; 15:583-597.
10. Jensson J, Krenk S, Damkilde L. Recursive substructuring of finite elements. Computers and Structures 1995; 54:395-404.
11. Hirai I, Wang BP, Pilkey WD. An efficient zooming method for finite element analysis. International Journal for Numerical Methods in Engineering 1984; 20:1671-1683.
12. Hirai I, Uchiyama Y, Mizuta Y, Pilkey WD. An exact zooming method. Finite Elements in Analysis and Design 1985; 1:61-69.
13. Kondo M, Sinclair GB. A simple substructuring procedure for finite element analysis of stress concentrations. Communications in Applied Numerical Methods 1985; 1:215-218.
14. Sun CT, Mao KM. A global-local finite element method suitable for parallel computations. Computers and Structures 1988; 29:309-315.
15. Jara-Alamonte CC, Knight CE. The specified boundary stiffness/force sbsf method for finite element subregion analysis. International Journal for Numerical Methods in Engineering 1988; 26:1567-1578.
16. Ransom JB, Knight Jr. NF. Global/local stress analysis of composite panels. Computers and Structures 1990; 37:375-395.
17. Mao KM, Sun CT. A refined global-local finite element analysis method. International Journal for Numerical Methods in Engineering 1991; 32:29-43.
18. Mao KM, Sun CT. Error estimators using global-local methods. International Journal for Numerical Methods in Engineering 1992; 35:589-599.
19. Hsiao T. A global-local finite element for general composite structure. Computers and Structures 1991; 40:719-730.
20. Whitcomb JD. Iterative global/local finite element analysis. Computers and Structures 1991; 40:1027-1031.
21. Whitcomb JD, Woo K. Application of iterative global/local finite element analysis, Part 1: Linear analysis. Communications in Numerical Methods in Engineering 1993; 9:745-756.
22. Whitcomb JD, Woo K. Application of iterative global/local finite element analysis, Part 2: Geometrically non-linear analysis. Communications in Numerical Methods in Engineering 1993; 9:757-766.
23. Fish J, Markolefas S. Adaptive global-local refinement strategy based on the interior error estimates of the h-method. International Journal for Numerical Methods in Engineering 1994; 37:827-838.
24. Krishnamurthy T, Raju IS. An independent refinement and integration procedure in multiregion finite element analysis. Communications in Numerical Methods in Engineering 1995; 11:383-390.
25. Dow JO, Sandor MJ. Submodeling approach to adaptive mesh refinement. AIAA Journal 1995; 33:1550-1554.
26. Srinivasan S, Biggers Jr SB, Latour Jr RA. Identifying global/local interface boundaries using an objective search method. International Journal for Numerical Methods in Engineering 1996; 39:805-828.
27. Voleti SR, Chandra N, Miller JR. Global-local analysis of large-scale composite structures using finite element methods. Computers and Structures 1996; 58:453-464.
28. ABAQUS personnel, ABAQUS/Standard User's Manual, Revision 5.7, vol. 1. Hibbitt, Karlsson and Sorenson, Inc: Pawtucket, Rhode Island, 1997.
29. Strang G, Fix GJ. An Analysis of the Finite Element Method. Prentice-Hall: Englewood Cliffs, New Jersey, 1973.
30. Westergaard HM. Bearing pressures and cracks. Transactions of ASME, Journal of Applied Mechanics 1939; 6: A-49-A-53.
31. Meda G, Sinclair GB. On the use of the H-integral to extract stress intensity factors. Proceedings of the Sixth International ANSYS Conference, Pittsburgh, Pennsylvania, vol. 2. 1994; 6.39-6.60.
32. Sinclair GB. On the logarithmic stress singularities induced by the use of displacement interpolants as boundary conditions in submodelling. Report SM 98-5, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, 1998.
33. Sinclair GB. FEA of singular elasticity problems. Proceedings of the Eighth International ANSYS Conference, Pittsburgh, Pennsylvania, vol. 1. 1998; 225-236.
34. Kolossoff G. On an application of the theory of complex variables to the two-dimensional problem of elasticity theory. Doctoral Dissertation, St. Petersburg, Russia, 1910.
35. Kolossoff G. On some properties of the plane problem of elasticity theory. Zeitschrift für Mathematik und Physik 1914; 62:384-409 (in German).
36. Inglis CE. Stresses in a plate due to the presence of cracks and sharp corners. Transactions of the Institute of Naval Architects 1913; 55:219-241.
37. Smallwood BS, Sinclair GB. Finite element analysis of the stress concentration occurring at crack tips in the presence of cohesive stresses. Report SM 97-2, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, 1997.
38. Sinclair GB, Cormier NG, Griffin JH, Meda G. Contact stresses in dovetail attachments: Finite element modeling. Report SM 98-7, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, 1998.
39. Steuermann E. To Hertz's theory of local deformations in compressed elastic bodies. (Doklady) de l'Académie des Sciences de l'URSS 1939; 25:359-361.
40. Meda G, Smallwood BS, Sinclair GB. Stress analysis with aggressive yet accurate simple substructuring. Proceedings of the Sixteenth CANCAM, Quebec City, Quebec, vol. 1. 1997; 481-482.