Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT

Silva, Sebastião Simão da ; Silva, William Taylor Matias ;

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The purpose of this work is to perform a nonlinear analysis of plane frame struc-ture using a corotational formulation and a layered plastic modeling. The plane frame is dis-cretized with a 2D Timoshenko beam element. Plasticity is introduced by rate-independent Von-Mises model with isotropic hardening. Numerical integration over the cross-section is performed for obtain the internal force vector and tangent stiffness matrix of these elements. At each integration point, the backward-Euler algorithm is used for integration in the consti-tutive equations. Some examples are used in order to check the performances in the elements and the path-following procedures.

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Palavras-chave: Nonlinear analysis of structures, Corotational formulation, Plasticity in layers, Finite element method.,

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DOI: 10.5151/meceng-wccm2012-19070

Referências bibliográficas
  • [1] Argyris, J.H., “Continua and discontinua”, Proceedings 1st Conference on Matrix Meth-ods in Structural Mechanics, AFFDL-TR-66-80, Air Force Institute of Tecnology, Dayton, Ohio-USA, 1965.
  • [2] Battini, J.M., “Co-rotational beam elements in instability problems”, Ph.D Thesis, Royal Institute of Tecnology - Departament of Mechanics, Stockholm / Sweeden, 200
  • [3] Crisfield, M.A., “Non-linear finite element analysis of solids and structures”, Volume 1: Essential, John Wiley Andamp; Sons, Chichester, UK, 1991.
  • [4] De Souza, R. M., "Force-Based Finite Element for Large Displacement Inelastic Analsysis of Frames", Ph.D. Dissertation, University of California at Berkeley, Berkeley, CA, USA, 2000.
  • [5] Felippa, C.A., “Non-linear finite element methods / NFEM”, Lecture notes for the course non-linear finite element methods, Center for Aerospace Structures, University of Colora-do, Boulder/USA, 2001.
  • [6] J. N. Reddy., “An Introduction to Nonlinear Finite Element Analysis”, Oxford University Press : Oxford, U.K, 2004.
  • [7] Owen, D.R.J., Hinton, E., Finite Elements in Plasticity: Theory and Practice, Pineridge. Swansea, U.K, 1980.
  • [8] Lemaitre, J., Chaboche, J-L., Mechanics of Solids Materials, Cambrige University Press, Cambrige, , U.K, 1994.
  • [9] Lee, S. L., Manuel F. S., Andamp; Rossow, E. C., Large deflection analysis and stability of elas-tic frames. J. Eng. Mech. Div. ASCE 94 EM2, pp. 521-547, 1968.
  • [10] Menin, R. C. G., “Application of co-rotational description in geometric nonlinear analy-sis of structures discretized by finite elements of trusses, beams and shells”, PhD thesis, E.TD-004A/06, Brasília : ENC/FT/UnB, 2006.
  • [11] Simo, J. C., Computational Inelastic, Interdisciplinary Apllied Mathematics, vol. 7, Springer, New York, USA, 1998.
  • [12] Williams, F. W., ‘An approach to the nonlinear behaviour of the members of a rigid jointed plane framework with finite deflection’, Quart. J. Mech. Appl. Maths. 17(4), 451–469, 1964.
Como citar:

Silva, Sebastião Simão da; Silva, William Taylor Matias; "NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT", p. 2900-2918 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19070

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