A beam finite element based on layerwise trigonometric shear deformation theory

By R. Shimpi, A. Ainapure. 2001

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Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory (2011, methodology): “Higher order shear deformation theories (HSDTs) were developed to improve the analysis of shell responses and extensively used by many researchers [20–59].”
A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates (2012, unknown): “Moreover, advanced numerical calculations such as finite element (Shimpi and Aynapure, 2001; Vidal and Polit, 2008, 2011) and meshless methods (Ferreira et al.”
A REFINED SINE-BASED FINITE ELEMENT WITH TRANSVERSE NORMAL DEFORMATION FOR THE ANALYSIS OF LAMINATED BEAMS UNDER THERMOMECHANICAL LOADS (2009, background): “For recent contributions, see [Reddy 1989; Shimpi and Ainapure 2001; Kärger et al. 2006].”
A zigzag model for laminated composite beams (2002, methodology): “Based on this theory, a finite element model was developed by Shimpi and Ainapure [9].”
Proper Generalized Decomposition and layer-wise approach for the modeling of composite plate structures (2013, background): “We can mention the folllowing contributions (Ferreira, 2005; Icardi, 2001; Pagano, 1969; Reddy, 1989; Shimpi and Ainapure, 2001) within a displacement based approach and (Carrera, 1999, 2000; Rao and Desai, 2004) within a mixed formulation.”