Comparative analysis between measures of strain in structures of bar
DOI:
https://doi.org/10.5433/1679-0375.2019v40n2p161Keywords:
Ftool, Strain measurements, Continuous mechanics, Finite element positional methodAbstract
The performance of structures is of fundamental importance within the structural design, however, the structure response when subjected to loading is a function of several variables. Structures are designed to meet ruin safety criteria and meet service conditions so that unacceptable damage to nonstructural elements does not occur and to ensure the effective part durability. The contribution of computational systems assists the analysis process, especially in the study of complex structural systems. Thus, this paper aims to apply concepts of continuum mechanics through four one-dimensional strain measurements on a bar requested by an axial tensile load and to verify their behavior in the face of increased load. Cauchy’s, Green’s, Logarithmic and Almansi’s strains were studied. It is concluded that, for small load increments, the difference between the numerical results obtained by the Ftool program and those obtained here were considerably close. However, with the consequent increase in loading, there was a large variation in the response of the bar regarding the displacement for the strain measurements. The displacements in the bar were obtained with the Finite Element Positional Method.Metrics
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References
BATHE, K. J. Finite Element Procedures. Cambridge, MA: Klaus-Jürgen Bathe, 2006.
BONET, J.; WOOD, R. D. Nonlinear continuum mechanics for finite element analysis. 2. ed. Cambridge: Cambridge University Press, 2008.
DEL SAVIO, A. A.; ANDRADE, S. D.; VELLASCO, P. C. G. S.; MARTHA, L. F. A non-linear system for semi-rigid steel portal frame analysis. In: INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY-CST, 7., 2004, [Lisboa]. Proceedings [...].[Lisboa]: [Civil-Comp Press], 2004. p. 1-12.
GONÇALVES, R. Análise de propagação de fissuras por fadiga em concreto pelo mef mediante a mecânica do dano contínuo. 2003. 101 f. Dissertação (Mestrado) - Escola de Engenharia de São Carlos da Universidade de São Paulo, São Carlos, 2003.
GRECO, M.; CODA, H. B. Positional FEM formulation for flexible multi-body dynamic analysis. Journal of Sound and Vibration, London, n. 290, p. 1141-1174, 2006. Doi: <https://doi.org/10.1016/j.jsv.2005.05.018>
KIMURA, A. Informática aplicada em estruturas de concreto armado: cálculos de edifícios com o uso de sistemas computacionais. São Paulo: Pini, 2007.
LACERDA, E. G. M. Análise não linear de treliças pelo método dos elementos finitos posicional. 2014. 92 f. Dissertação (Mestrado em Engenharia civil) – Universidade Federal do Rio Grande do Norte, Natal, 2014.
MATLAB version 8.6.0 (R2015b). Natick: The MathWorks Inc., 2015.
MARTHA, L. F. Ftool: A structural analysis educational interactive tool. In: WORKSHOP IN MULTIMEDIA COMPUTER TECHNIQUES IN ENGINEERING EDUCATION, 1999, Austria. Proceedings [...]. Austria: Technical University of Graz, 1999. p. 51-65.
MELO, C. D. R. Estudo do colapso progressivo de pórticos planos de concreto armado via análise não linear. 2015. Dissertação (Mestrado em Engenharia Civil) - Universidade Federal do Ceará, Fortaleza, 2015.
MENIN, R. C. G. Aplicação da descrição cinemática co-rotacional na análise não-linear geométrica de estruturas discretizadas por elementos finitos de treliças, vigas e cascas. 2006. Tese (Doutorado em Estruturas e Construção Civil) - Faculdade de Tecnologia, Universidade de Brasília, Brasília, 2006.
SANTANA, M. V. B. Sistema computacional gráfico Interativo para problemas de instabilidade em treliças e pórticos planos. 2015. 120 f. Dissertação (Mestrado em Engenharia civil) –Universidade Federal de Ouro Preto, Ouro Preto, 2015.
SCHIECK, B., PIETRASZKIEWICZ, W., STUMPF, H. Theory and numerical analysis of shells undergoing large elastic strains. International Journal of Solids and Structures, New York, v. 29, p. 689-709, 1992.
TIMOSHENKO, S.; GOODIER, J. N. Theory of elasticity. New York: Mcgraw-hill, 1951..
WRIGGERS, P. Nonlinear finite element methods. Switzerland: Springer, 2008.
YAW, L. L. Nonlinear static - 1d plasticity - isotropic and kinematic hardening. Washington: Walla Walla University, 2017.
BONET, J.; WOOD, R. D. Nonlinear continuum mechanics for finite element analysis. 2. ed. Cambridge: Cambridge University Press, 2008.
DEL SAVIO, A. A.; ANDRADE, S. D.; VELLASCO, P. C. G. S.; MARTHA, L. F. A non-linear system for semi-rigid steel portal frame analysis. In: INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY-CST, 7., 2004, [Lisboa]. Proceedings [...].[Lisboa]: [Civil-Comp Press], 2004. p. 1-12.
GONÇALVES, R. Análise de propagação de fissuras por fadiga em concreto pelo mef mediante a mecânica do dano contínuo. 2003. 101 f. Dissertação (Mestrado) - Escola de Engenharia de São Carlos da Universidade de São Paulo, São Carlos, 2003.
GRECO, M.; CODA, H. B. Positional FEM formulation for flexible multi-body dynamic analysis. Journal of Sound and Vibration, London, n. 290, p. 1141-1174, 2006. Doi: <https://doi.org/10.1016/j.jsv.2005.05.018>
KIMURA, A. Informática aplicada em estruturas de concreto armado: cálculos de edifícios com o uso de sistemas computacionais. São Paulo: Pini, 2007.
LACERDA, E. G. M. Análise não linear de treliças pelo método dos elementos finitos posicional. 2014. 92 f. Dissertação (Mestrado em Engenharia civil) – Universidade Federal do Rio Grande do Norte, Natal, 2014.
MATLAB version 8.6.0 (R2015b). Natick: The MathWorks Inc., 2015.
MARTHA, L. F. Ftool: A structural analysis educational interactive tool. In: WORKSHOP IN MULTIMEDIA COMPUTER TECHNIQUES IN ENGINEERING EDUCATION, 1999, Austria. Proceedings [...]. Austria: Technical University of Graz, 1999. p. 51-65.
MELO, C. D. R. Estudo do colapso progressivo de pórticos planos de concreto armado via análise não linear. 2015. Dissertação (Mestrado em Engenharia Civil) - Universidade Federal do Ceará, Fortaleza, 2015.
MENIN, R. C. G. Aplicação da descrição cinemática co-rotacional na análise não-linear geométrica de estruturas discretizadas por elementos finitos de treliças, vigas e cascas. 2006. Tese (Doutorado em Estruturas e Construção Civil) - Faculdade de Tecnologia, Universidade de Brasília, Brasília, 2006.
SANTANA, M. V. B. Sistema computacional gráfico Interativo para problemas de instabilidade em treliças e pórticos planos. 2015. 120 f. Dissertação (Mestrado em Engenharia civil) –Universidade Federal de Ouro Preto, Ouro Preto, 2015.
SCHIECK, B., PIETRASZKIEWICZ, W., STUMPF, H. Theory and numerical analysis of shells undergoing large elastic strains. International Journal of Solids and Structures, New York, v. 29, p. 689-709, 1992.
TIMOSHENKO, S.; GOODIER, J. N. Theory of elasticity. New York: Mcgraw-hill, 1951..
WRIGGERS, P. Nonlinear finite element methods. Switzerland: Springer, 2008.
YAW, L. L. Nonlinear static - 1d plasticity - isotropic and kinematic hardening. Washington: Walla Walla University, 2017.
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Published
2019-12-18
How to Cite
Tolentino, L. D., & Souza, L. A. F. de. (2019). Comparative analysis between measures of strain in structures of bar. Semina: Ciências Exatas E Tecnológicas, 40(2), 161–168. https://doi.org/10.5433/1679-0375.2019v40n2p161
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