A new arc-length method for handling sharp snap-backs

Computers and Structures

Volumn 66, Issue 5, 1998, Pages 704-709

  Hellweg, H B ^a   Crisfield, M A ^b  

^a Tyre Research ^*  (Germany)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; CRACK PROPAGATION; FAILURE ANALYSIS; ITERATIVE METHODS;

ARC LENGTH METHOD; NEWTON-RAPHSON METHOD;

FRACTURE MECHANICS;

EID: 0032021268     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0045-7949(97)00077-1     Document Type: Article

References (13)

1. Crisfield M. A. and Hellweg H.-B., Some recent work with Reinforced Concrete and other Composite Materials, University of Capetown Printing Department, South Africa, Vol. 1, ed. D. Lanksch. University of Capetown Printing Department, South Africa, 1995, pp. 106-122.
2. Hellweg H.-B., Crisfield M. A. and Davies G. A. O., Failure analysis of composite structures using interface elements. In Proc NAFEMS Conf. Application of Finite Elements to Composite Materials, ed. R. E. Eggington. 1994, pp. 6-9.
3. Crisfield M. A., Non-Linear Finite Element Analysis of Solids and Structures, Vol. 1. John Wiley & Sons, Chichester, 1991.
4. Crisfield, M. A. A fast incremental/iterative solution procedure that handles snap through. Computers & Structures, 1981, 13, 55-62.
5. De Borst, R. Computation of post-bifurcation and post-failure behaviour of strain-softening solids. Computers & Structures, 1987, 25, 823-829.
6. Schellekens J. C. J., Computational strategies for composite structures, Ph.D. thesis at Delft University Netherlands, 1992.
7. Duan Y. and May I. M., A local arc-length procedure for strain softening. ACME Proc. Computational Mechanics in UK - 1994, ed. Geotechnical Engineering Group, Department of Mechanical Engineering Manchester and UK. 1994, pp. 65-68.
8. Wempner, G. A. Discrete approximations related to nonlinear theories of solids. International Journal of Solids and Structures, 1971, 7, 1581-1599.
9. Bergan, P. G. Solution algorithms for nonlinear structural problems. Computers & Structures, 1980, 12, 497-510.
10. Riks, E. An incremental approach to the solution of snapping and buckling problems. International Journal of Solids and Structures, 1979, 15, 524-551.
11. Ramm E., Strategies for tracing non-linear responses near limit points. In Non-linear Finite Element Analysis in Structural Mechanics, ed. W. Wunderlich, E. Stein and K. J. Bathe. Springer, Berlin, 1981.
12. Rheinboldt, W. C. Numerical analysis of continuation methods for nonlinear structural problems. Computers & Structures, 1981, 13, 103-113.
13. Crisfield, M. A. An arc-length method including line searches and accelerations. International Journal of Numerical Methods in Engineering, 1983, 19, 1269-1289.