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NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT
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
Full Article:
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.
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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DOI: 10.5151/meceng-wccm2012-19070
Referências bibliográficas
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- [2] Battini, J.M., “Co-rotational beam elements in instability problems”, Ph.D Thesis, Royal Institute of Tecnology - Departament of Mechanics, Stockholm / Sweeden, 2002.
- [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 23580828,
DOI 10.5151/meceng-wccm2012-19070
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TY - CONF T1 - NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT JO - Blucher Mechanical Engineering Proceedings VL - 1 IS - 1 SP - 2900 EP - 2918 PY - 2014 T2 - 10th World Congress on Computational Mechanics AU - , SN - 23580828 DO - http://dx.doi.org/10.5151/meceng-wccm2012-19070 UR - www.proceedings.blucher.com.br/article-details/nonlinear-analysis-of-plane-frames-using-a-corotational-fomulation-and-plasticity-by-layers-in-a-timoshenko-beam-el-ement-9204 KW - ER -
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@article{Silva20144,
title="NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT",
journal="Blucher Mechanical Engineering Proceedings",
volume="1",
number="1",
pages="2900 - 2918",
year="2014",
note="",
issn="23580828",
doi="http://dx.doi.org/10.5151/meceng-wccm2012-19070",
url="www.proceedings.blucher.com.br/article-details/nonlinear-analysis-of-plane-frames-using-a-corotational-fomulation-and-plasticity-by-layers-in-a-timoshenko-beam-el-ement-9204",
author="Sebastião Simão da Silva", "William Taylor Matias Silva",
keywords="",
}
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Sebastião Simão da Silva, William Taylor Matias Silva, NONLINEAR ANALYSIS OF PLANE FRAMES USING A COROTATIONAL FOMULATION AND PLASTICITY BY LAYERS IN A TIMOSHENKO BEAM EL-EMENT, Blucher Mechanical Engineering Proceedings, Volume 1, 2014, Pages 2900-2918, ISSN 23580828, http://dx.doi.org/10.5151/meceng-wccm2012-19070 (www.proceedings.blucher.com.br/article-details/nonlinear-analysis-of-plane-frames-using-a-corotational-fomulation-and-plasticity-by-layers-in-a-timoshenko-beam-el-ement-9204) Palavras-chave:: ;