An incremental approach to the solution of snapping and buckling problems
作者： E. Riks
DOI: 10.1016/0020-7683(79)90081-7
关键词: Finite element method 、 Computation 、 Buckling 、 Bifurcation 、 Mathematical analysis 、 Limit point 、 System of linear equations 、 Iterative method 、 Mathematics 、 Nonlinear system
摘要: … Tbe topics that are covered can be summarized as follows:-The computation of nonlinear equilibrium paths with continuation through limit points and bifurcation points.-The …
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sci-hub.se 参考文章(21)
B. O. Almroth, E. Meller, F. A. Brogan, Computer Solutions for Static and Dynamic Buckling of Shells Springer, Berlin, Heidelberg. pp. 52- 66 ,(1976) , 10.1007/978-3-642-50992-6_5
E. Riks, The incremental solution of some basic problems in elastic stability NLR-TR 74005 U. ,(1973)
B. O. Almroth, M. B. Marlowe, F. A. Brogan, Collapse Analysis for Shells of General Shape; Volume 1. Analysis ,(1972)
G. W. Hunt, J. M. T. Thompson, A general theory of elastic stability ,(1973)
Pedro V. Marcal, Georges A. Dupuis, Dieter D. Pfaffinger, Effective Use of the Incremental Stiffness Matrices in Nonlinear Geometric Analysis. ,(1970)
M. W. Johnson, R. H. Moore, H. F. Bueckner, THE CALCULATION OF EQUILIBRIUM STATES OF ELASTIC BODIES BY NEWTON'S METHOD. ,(1965)
Raphael T. Haftka, Robert H. Mallett, william Nachbar, Adaption of Koiter's method to finite element analysis of snap-through buckling behavior International Journal of Solids and Structures. ,vol. 7, pp. 1427- 1445 ,(1971) , 10.1016/0020-7683(71)90055-2
G. A. Thurston, Continuation of Newton’s Method Through Bifurcation Points Journal of Applied Mechanics. ,vol. 36, pp. 425- 430 ,(1969) , 10.1115/1.3564697
John M. T. Thompson, A general theory for the equilibrium and stability of discrete conservative systems Zeitschrift für Angewandte Mathematik und Physik. ,vol. 20, pp. 797- 846 ,(1969) , 10.1007/BF01592294
J.M.T. Thompson, A.C. Walker, A general theory for the branching analysis of discrete structural systems International Journal of Solids and Structures. ,vol. 5, pp. 281- 288 ,(1969) , 10.1016/0020-7683(69)90013-4