How to cite this paper
Arruda, M & Castro, L. (2024). State of art for hybrid mixed finite element formulation in non-linear analysis of structures.Engineering Solid Mechanics, 12(1), 51-64.
Refrences
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Almeida, J.P.B.M, & Freitas, J.A.T. (1991). Alternative approach to the formulation of hybrid equilibrium finite elements. Computer & Structures, 40(4), 1043-1047.
Almeida, J.P.B.M. (1991). Modelos de Elementos Finitos para a Análise Elastoplástica. (Ph.D Thesis), Instituto Superior Técnico, Lisboa.
Antão, A. N., Vicente da Silva, M., Guerra, N., & Delgado, R. (2012). An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields. Computers and Geotechnics, 41, 23-35. doi: https://doi.org/10.1016/j.compgeo.2011.11.003
Arruda, M. R. T., & Castro, L. M. S. (2021). Non-linear dynamic analysis of reinforced concrete structures with hybrid mixed stress finite elements. Advances in Engineering Software, 153, 102965. doi: https://doi.org/10.1016/j.advengsoft.2020.102965
Arruda, M.R. (2008). Análise Dinâmica de Estruturas com Elementos Finitos Híbridos-Mistos de Tensão. (M.Sc Thesis ), Instituto Superior Técnico, Lisboa.
Arruda, M.R. (2011). Static and Dynamic Analysis of Concrete Structures Using Damage Mechanics. (Ph.D. Thesis), Instituto Superior Técnico, Lisbon.
Arruda, M.R., & Castro, L.M.S.S. (2007). Análise Dinâmica de Lajes de Reissner-Mindlin com Modelos Híbridos-Mistos de Tensão. Paper presented at the Congresso de Métodos Numéricos em Engenharia Porto.
Arruda, M.R., & Castro, L.M.S.S. (2009a). Implementação de Modelos Híbridos-Mistos de Tensão para Análise Dinâmica no Domínio do Tempo. Paper presented at the Congreso de Métodos Numéricos en Ingeniería, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2009b). Modelos Híbridos-Mistos de Tensão para a Análise Dinâmica no Domínio do Tempo. Revista Portuguesa de Engenharia de Estruturas, 5(2), 13-19.
Arruda, M.R., & Castro, L.M.S.S. (2009c). Modelos Híbridos-Mistos de Tensão para Análise Dinâmica Fisicamente Não-Linear de Pórticos de Betão Armado. Paper presented at the Congreso de Métodos Numéricos en Ingeniería, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2010a). Hybrid-Mixed Stress Finite Element Models for the Dynamic Analysis of Reinforced Concrete Frame Structures. Paper presented at the Proceedings of the Tenth International Conference on Computational Structures Technology, Valencia.
Arruda, M.R., & Castro, L.M.S.S. (2010b). Time Integration Procedures with Hybrid-Mixed Stress Finite Elements. Paper presented at the Proceedings of the Tenth International Conference on Computational Structures Technology, Valencia.
Arruda, M.R., & Castro, L.M.S.S. (2011a). Continuum damage model using hybrid mixed formulation. Paper presented at the CORAN, Coimbra.
Arruda, M.R., & Castro, L.M.S.S. (2011b). Hybrid mixed formulation in continuum damage mechanics. Paper presented at the CFRAC, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2011c). Modelos de Dano Contínuo com Elementos Finitos Híbridos-Mistos de Tensão. Paper presented at the CMNE, Coimbra.
Arruda, M.R., & Castro, L.M.S.S. (2012). Structural dynamic analysis using hybrid and mixed finite element models. Finite Elements in Analysis and Design, 57, 43-54.
Arruda, M.R., & Castro, L.M.S.S. (2013). A new hybrid-mixed stress model for the analysis of concrete structures using damage mechanics. Computer & Structures, 115, 23-44.
Arruda, M.R.T. (2011). Static and Dynamic Analysis of Concrete Structures Using Damage Mechancis. (Phd), University of Lisbon in Instituto Superior Técnico, Lisbon.
Arruda, M.R.T., & Moldovan, D.I. (2015). On a mixed time integration procedure for non-linear structural dynamics. Engineering Computations, 32(2), 329-369. doi: 10.1108/EC-05-2013-0136
Arruda, Mário R. T., & Castro, Luís Manuel Santos. (2013). Static and dynamic physically non-linear analysis of concrete structures using a hybrid mixed finite element model. Advances in Engineering Software, 65(0), 112-131. doi: http://dx.doi.org/10.1016/j.advengsoft.2013.06.002
Arruda, P. F. T., Arruda, M. R. T., & Castro, L. M. Santos. (2015). Computation of critical loads and buckling modes using hybrid-mixed stress finite element models. Computers & Structures, 154, 72-90. doi: https://doi.org/10.1016/j.compstruc.2015.02.012
Arruda, P.F.T. (2009). Análise de estabilidade de estruturas com elementos finitos híbridos-mistos de tensão. (M.Sc Thesis), Instituto Superior Técnico, Lisbon.
Babuska, I., Strouboulis, T., Upadhyay, C.S., Gangaraj, S.K., & Copps, K. (1994a). An objective criterion for acessing the reliability of a-postriori error estimates in finite element computation. USACM Bulletin, 4(1), 4-15.
Babuska, I., Strouboulis, T., Upadhyay, C.S., Gangaraj, S.K., & Copps, K. (1994b). Validation of a-postriori error estimator by numerical approach. International Journal of the Numerical Methods in Engineering, 37(1), 1073–1123.
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Antão, A. N., Vicente da Silva, M., Guerra, N., & Delgado, R. (2012). An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields. Computers and Geotechnics, 41, 23-35. doi: https://doi.org/10.1016/j.compgeo.2011.11.003
Arruda, M. R. T., & Castro, L. M. S. (2021). Non-linear dynamic analysis of reinforced concrete structures with hybrid mixed stress finite elements. Advances in Engineering Software, 153, 102965. doi: https://doi.org/10.1016/j.advengsoft.2020.102965
Arruda, M.R. (2008). Análise Dinâmica de Estruturas com Elementos Finitos Híbridos-Mistos de Tensão. (M.Sc Thesis ), Instituto Superior Técnico, Lisboa.
Arruda, M.R. (2011). Static and Dynamic Analysis of Concrete Structures Using Damage Mechanics. (Ph.D. Thesis), Instituto Superior Técnico, Lisbon.
Arruda, M.R., & Castro, L.M.S.S. (2007). Análise Dinâmica de Lajes de Reissner-Mindlin com Modelos Híbridos-Mistos de Tensão. Paper presented at the Congresso de Métodos Numéricos em Engenharia Porto.
Arruda, M.R., & Castro, L.M.S.S. (2009a). Implementação de Modelos Híbridos-Mistos de Tensão para Análise Dinâmica no Domínio do Tempo. Paper presented at the Congreso de Métodos Numéricos en Ingeniería, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2009b). Modelos Híbridos-Mistos de Tensão para a Análise Dinâmica no Domínio do Tempo. Revista Portuguesa de Engenharia de Estruturas, 5(2), 13-19.
Arruda, M.R., & Castro, L.M.S.S. (2009c). Modelos Híbridos-Mistos de Tensão para Análise Dinâmica Fisicamente Não-Linear de Pórticos de Betão Armado. Paper presented at the Congreso de Métodos Numéricos en Ingeniería, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2010a). Hybrid-Mixed Stress Finite Element Models for the Dynamic Analysis of Reinforced Concrete Frame Structures. Paper presented at the Proceedings of the Tenth International Conference on Computational Structures Technology, Valencia.
Arruda, M.R., & Castro, L.M.S.S. (2010b). Time Integration Procedures with Hybrid-Mixed Stress Finite Elements. Paper presented at the Proceedings of the Tenth International Conference on Computational Structures Technology, Valencia.
Arruda, M.R., & Castro, L.M.S.S. (2011a). Continuum damage model using hybrid mixed formulation. Paper presented at the CORAN, Coimbra.
Arruda, M.R., & Castro, L.M.S.S. (2011b). Hybrid mixed formulation in continuum damage mechanics. Paper presented at the CFRAC, Barcelona.
Arruda, M.R., & Castro, L.M.S.S. (2011c). Modelos de Dano Contínuo com Elementos Finitos Híbridos-Mistos de Tensão. Paper presented at the CMNE, Coimbra.
Arruda, M.R., & Castro, L.M.S.S. (2012). Structural dynamic analysis using hybrid and mixed finite element models. Finite Elements in Analysis and Design, 57, 43-54.
Arruda, M.R., & Castro, L.M.S.S. (2013). A new hybrid-mixed stress model for the analysis of concrete structures using damage mechanics. Computer & Structures, 115, 23-44.
Arruda, M.R.T. (2011). Static and Dynamic Analysis of Concrete Structures Using Damage Mechancis. (Phd), University of Lisbon in Instituto Superior Técnico, Lisbon.
Arruda, M.R.T., & Moldovan, D.I. (2015). On a mixed time integration procedure for non-linear structural dynamics. Engineering Computations, 32(2), 329-369. doi: 10.1108/EC-05-2013-0136
Arruda, Mário R. T., & Castro, Luís Manuel Santos. (2013). Static and dynamic physically non-linear analysis of concrete structures using a hybrid mixed finite element model. Advances in Engineering Software, 65(0), 112-131. doi: http://dx.doi.org/10.1016/j.advengsoft.2013.06.002
Arruda, P. F. T., Arruda, M. R. T., & Castro, L. M. Santos. (2015). Computation of critical loads and buckling modes using hybrid-mixed stress finite element models. Computers & Structures, 154, 72-90. doi: https://doi.org/10.1016/j.compstruc.2015.02.012
Arruda, P.F.T. (2009). Análise de estabilidade de estruturas com elementos finitos híbridos-mistos de tensão. (M.Sc Thesis), Instituto Superior Técnico, Lisbon.
Babuska, I., Strouboulis, T., Upadhyay, C.S., Gangaraj, S.K., & Copps, K. (1994a). An objective criterion for acessing the reliability of a-postriori error estimates in finite element computation. USACM Bulletin, 4(1), 4-15.
Babuska, I., Strouboulis, T., Upadhyay, C.S., Gangaraj, S.K., & Copps, K. (1994b). Validation of a-postriori error estimator by numerical approach. International Journal of the Numerical Methods in Engineering, 37(1), 1073–1123.
Barbosa, A.R. (2002). Wavelets no Intervalo em Elementos Finitos. (M.Sc Thesis), Instituto Superior Técnico, Lisbon.
Bathe, K.J. (1982). Finite Element Procedures In Engineering Analysis: Prentice-Hall Englewood Cliffs.
Bathe, K.J. (1996). Finite Element Procedures In Engineering Analysis: Prentice-Hall Englewood Cliffs.
Boroomand, B., & Zienkiewicz, O.C. (1992). The superconvergent patch recovery and a-posteriori error estimates; part i: The recovery thechnique; part ii: Error estimates and adaptativity. International Journal of the Numerical Methods in Engineering, 33, Part I: 1331–1365; Part II: 1365–1382.
Brezzi, F., & Fortin, M. (1991). Mixed and Hybrid Mixed Finite Element Methods. New-York: Springer.
Castro, L.M.S.S. (1992). Interpolação de Walsh em Problemas de Elasticidade Plana. (M.Sc Thesis), Instituto Superior Técnico, Lisbon.
Castro, L.M.S.S. (1996). Wavelets e Séries de Walsh em Elementos Finitos. (Ph.D Thesis), Instituto Superior Técnico, Lisboa.
Castro, L.M.S.S., & Barbosa, A.R. (2006). Implementation of an Hybrid-Mixed Stress Model Based on the use of Wavelets. Computer & Structures, 84(10-11), 718-731.
Castro, L.M.S.S., & Freitas, J.A.T. (1996). Hybrid-Mixed Finite Element Elastoplastic Analysis Based on Walsh and Wavelet Interpolation. Paper presented at the Congresso de Metodos Numéricos em Engenharia, Barcelona.
Castro, L.M.S.S., & Freitas, J.A.T. (2001). Wavelets in Hybrid-Mixed Stress Elements. Computer Methods in Applied Mechanics and Engineering, 190(31), 3977-3998.
Cismasiu, C. (2000). The hybrid-Trefftz displacement element for static and dynamic structural analysis problems. (Ph.D Thesis), Instituto Superior Técnico, Lisbon.
Clough, R. W, & Wilson, E. (1999). Early Finite Element Research at Berkeley. Paper presented at the National Conference on Computational Mechanics.
Cook, R.D, Malkus, D.S. , Plesha, M.E., & R.J., Witt. (2002). Concepts and Applications of Finite Element Analysis. USA: John Wiley and Sons Inc.
Correia, Antonio A., Almeida, J Pacheco., & Pinho, Rui. (2007). Comparação entre Formulações de Equilibrio e Deslocamentos na Análise Não Linear de Estruturas Porticadas de Betão Armado. Paper presented at the Congreso de Sismologia e Engenharia Sísmica, Porto.
Cottrell, J.A., Hughes, T.J.R., & Bazilevs, Y. (2009). Isogeometric analysis: Toward Integration of CAD and FEA. Chichester: Wiley.
Crisfield, M.A. (1991). Non-linear Finite Element Analysis of Solids and Structures (Vol. Volume 1 - Essentials). Chichester: John Wiley & Sons.
Fernandes, C.M.T.T. (1998). Utilização e Desenvolvimento de uma Formulação Indirecta de Trefftz na Análise de Lajes Finas. (M.Sc Thesis), Instituto Superior Técnico, Lisboa.
Freitas, J.A.T. (1999). Hybrid Finite Element Formulation for Elastodynamic Analysis in the Frequency Domain. International Journal of Solids and Structures, 36(13), 1883-1923.
Freitas, J.A.T. (2008). Mixed Finite Element Solution of Time-Dependent Problems. Computer Methods in Applied Mechanics and Engineering, 197(45-48), 3657-3678.
Freitas, J.A.T., Almeida, J.P.B.M, & Pereira, E.M.B.R. (1999). Non-conventional Formulations for the Finite Element Method. Computational Mechanics, 23(1), 488-501.
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