Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures

By R. Arciniega, J. Reddy. 2007

194 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bd6a03e5263a7e631e4d4b0c961b0e6e21914118

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In Civil and Structural Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Geometrically nonlinear refined shell theories by Carrera Unified Formulation (2019, methodology): “analysis and has been considered by [24, 42].”
3D capability of refined GDQ models for the bending analysis of composite and sandwich plates, spherical and doubly-curved shells (2018, methodology): “The most popular numerical methods available in the literature are based on the weak formulation of the governing equations, a typical example is the Finite Element Method (FEM).”
Thermal Analysis of Reissner-Mindlin Shallow Shells with FGM Properties by the MLPG (2008, methodology): “In view of the increasing reliability on the use of computer modelling to replace or reduce experimental works in the context of a virtual testing, it is therefore imperative that alternative computer-based methods are developed to allow for independent verification of the finite element solutions [”
A complete set of equations for piezo-magnetoelastic analysis of a functionally graded thick shell of revolution (2014, methodology): “Some appropriate and useful relations about tensor analysis and piezoelectric structures were presented in literature (Arciniega and Reddy 2007, Carrera and Brischetto 2007, Ray and Reddy 2005, Santos et al., 2008).”
Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution (2009, methodology): “In the last years, some researchers have analyzed various characteristics of functionally graded structures [16–30].”
Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, methodology): “Arciniega and Reddy [35] developed an improved ﬁ rst order shear deforma tion theory with seven independent variables under the Lagran gian framework and presented the ﬁ nite element formulations that could be used to study the non linear analysis of a broad range of shell geometries made of…”
Modeling of Composite Shells in 6–Parameter Nonlinear Theory with Drilling Degree of Freedom (2011, background): “This demanding large displacement and rotations problem can be traced back to [28] and it is popular ever since (see for instance [47, 51, 55, 56]).”