Global numerical analysis of elasto-plastic frames

• Autorzy: Gáspár Z. , Nédli P.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics (7 ; July 1996 ; Miskolc ; Węgry)
• Języki publikacji: EN

Abstrakty

EN

We discuss a global, iteration-free numerical scheme (based on the Piecewise Linear algorithm), with special respect to the computation of elasto-plastic frames. The plastic deformations are concentrated in plastic hinges which may appear at both ends of the bars, while the inner parts of the bars can have only elastic deformations but without limation on their magnitude. Our method is tested on a classical example and the resuts show very good match with those known from the literature. We discuss advantages and disadvantages and point out other, related applications.

Słowa kluczowe

EN

numerical analysis; plastic deformation

PL

analiza numeryczna; odkształcenie plastyczne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 1
• Strony: 93--100
• Opis fizyczny: Bibliogr, 10 poz., rys., tab., wykr.

Twórcy

autor

Gáspár Z.

• Department of Structural Mechanics, Technical university of Budapest, H-1521 Budapest, Hungary

autor

Nédli P.

• Department of Structural Mechanics, Technical university of Budapest, H-1521 Budapest, Hungary

Bibliografia

• [1] E.L. Allgower, K. Georg. Numerical Continuation Methods: an Introduction. Springer, Berlin, 1990.
• (2] L. Corradi. On a stability condition for elastic-plastic structures. Meccanica, 1: 24-37, 1977.
• [3] O. De Donato, G. Maier. Historical deformation analysis of elastoplastic structures as a parametric linear complementary problem. Meccanica, 3: 166-171, 1976.
• (4] J.A.T. de Freitas, D.L. Smith. Elastoplastic analysis of planar structures for large displacements. J. Struct. Mech., 12: 419-445, 1984.
• [5] G. Domokos. Global description of elastic bars. ZAMM, 74(4): T289-T291, 1994.
• [6] G. Domokos, P. Holmes, B. Royce. Euler buckling with constraints. J. of Nonlinear Science, [submitted].
• [7] G. Domokos, Zs. Gaspar. A global, direct algorithm for path-following and active static control of elastic bar structures. Mechanics of Structures and Machines, 23(4): 549-571, 1994.
• [8] Zs. Gáspár, G. Domokos, I. Szeberényi. A parallel algorithm for the global computation of elastic bar structures. CAMES, 4: 55-68, 1997.
• [9] M.R. Horne. Elastic-plastic failure loads of plane frames. Proc. R. Soc. London, 274: 343, 1963.
• [10] P. Nédli. Geometrically nonlinear analysis of elastic-plastic plane frames by mathematical programming. In: Proc. Scottish-Anglo-Hungarian Research Seminar, 17-21. Herriot-Watt University, 1994.