The Finite Element Analysis of Shells - Fundamentals

By Dominique Chapelle, K. Bath, C. Meyer. 2003

539 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/0dfca5966e5084f55e6b3a6244f7925f86fa2a0c

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In Civil and Structural Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Review: A posteriori error estimation techniques in practical finite element analysis (2005, unknown): “Using a continuum mechanics shell formu lation [1,50], the error in a linear quantity of interest can be written as”
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, methodology): “The displacement of wall is described using a non-linear shell model (based on MITC4 shell elements [4]).”
Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method (2014, background): “Thin and thick shell topics were studied and widely developed over the last 70 years [1–53].”
Finite element developments for general fluid flows with structural interactions (2004, background): “Thin shell structures display a variety of deformation behaviours [8, 24] and the analysis of their interactions with fluid flows can be a significant challenge.”
A finite element method enriched for wave propagation problems (2012, methodology): “While we have presented the method for the displacementbased method of finite elements – with all the important properties directly applicable [2] – it would be valuable to extend the method for the u/p formulation (for incompressible analysis) and the MITC formulations for beams, plates and shells ”
Modeling of Composite Shells in 6–Parameter Nonlinear Theory with Drilling Degree of Freedom (2011, background): “Bathe and his co-workers (see for instance [57] or [58] and references given therein) studied in-depth a similar example, but as a homogenous isotropic problem, pointing out important results concerning, among others, various sources of locking.”
Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2011, unknown): “The most common numerical procedure for the analysis of the shells is the finite element method [15–19].”
The MITC3+shell element and its performance (2014, unknown): “The bending dominated problem is known to be difficult to solve accurately [3].”
The finite element method enriched by interpolation covers (2013, background): “It would be valuable to develop the enrichment scheme for the solution of dynamic and general nonlinear problems, using the low-order solid elements, and for the analysis of shell structures using mixed interpolations [1,58,59].”
Limit analysis of masonry vaults by means of curved shell finite elements and homogenization (2008, background): “The utilization of six-noded curved elements allows (if compared with standard three-noded flat elements) a better evaluation of failure loads for curved masonry structures, since it is possible to accurately approximate the actual shape of curved surfaces even with few elements (Chapelle and Bathe,”