A nonlinear path-following method for computing the equilibrium curve of structures

Annals of Operations Research

Volumn 81, Issue , 1998, Pages 15-23

  Csebfalvi A ^a  

^a UNIVERSITY OF PÉCS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043231084     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. J.P. Abbott, An efficient algorithm for the determination of certain bifurcation points, J. Comput. Appl. Math. 4(1978)19-27.
2. M.A. Criesfield, A fast incremental/iterative solution procedure that handles "Snap-Through", Comput. & Struc. 13(1981)55-62.
3. M.P. Kamat, L.T. Watson and V.B. Venkayya, A quasi-Newton versus a homotopy method for structural analysis, Comput. & Struc. 17(1983)579-585.
4. W.T. Koiter, Over de stabiliteit van het elastisch evenwicht, Dissertation, Delft Technical University, H.J. Paris, Amsterdam, Holland, 1945.
5. M. Kubicek, Dependence of solution of nonlinear systems on a parameter, Algorithm 502, CACM-Toms 2(1976)98-107.
6. E. Ramm, Strategies for tracing the non-linear response near limit points, Europe-US Workshop on Non-Linear Finite Element Analysis in Structural Mechanics, Ruhr University, Bochum, Germany, Springer, Berlin, 1981.
7. W.C. Rheinboldt, Numerical analysis of continuation methods for non-linear structural problems, Comput. & Struc. 13(1981)103-113.
8. E. Riks, The application of Newton's method to the problem of elastic stability, J. Appl. Mech. 39(1972)1060-1066.
9. K.H. Schweizerhoff and P. Wriggers, Consistent linearization for a path-following method in nonlinear FE analysis, Comp. Meth. Appl. Mech. Eng. 59(1986)261-279.
10. J.M.T. Thompson and G.W. Hunt, Elastic Instability Phenomena, Wiley, New York, 1984.
11. W. Wagner and P. Wriggers, A simple method for the calculation of post-critical branches, Engineering Computation 5(1988)103-109.
12. P. Wriggers, W. Wagner and C. Miehe, A quadratically convergent procedure for the calculation of stability points in finite element analysis, Computer Meth. Appl. Mech. and Eng. 70(1988)329-347.
13. P. Wriggers and J.C. Simo, A general procedure for the direct computation of turning and bifurcation points, Int. J. Num. Meth. Eng. 30(1990)155-176.
14. P. Wriggers, Fundamentals of nonlinear response analysis of discretized systems, Advanced School on Nonlinear Stability of Structures, Udine, Italy, September 6-10, 1993.