The mortar element method is an optimal domain decomposition method for the approximation of partial differential equations on non-matching grids. There already exists applications of the mortar method to Navier-Stokes, elasticity, and Maxwell problems. The aim of this paper is to provide an extension of the mortar method to plates and shells problems. We first recall the Discrete Kirchhoff Tri...

The need of polygonal elements to represent the domain is gaining interest among structural engineers. The objective is to perform static analysis and topology optimization of a given continuum domain using the rational fraction type shape functions of six node hexagonal elements. In this paper, the main focus is to perform the topology optimization of two-dimensional plate structures using Evo...

A shell/3D modeling technique was developed for which a local solid finite element model is used only in the immediate vicinity of the delamination front. The goal was to combine the accuracy of the full three-dimensional solution with the computational efficiency of a plate or shell finite element model. Multi-point constraints provide a kinematically compatible interface between the local 3D ...

This study presents the first ever data of extracting chitin from the Chiton shell, which then converted to the soluble chitosan by soaking in the 45% NaOH solution. The obtained chitin and chitosan were characterized by the seven different methods. Antioxidant activity of the extracted chitosan was also evaluated using the two methods. The shell content was divided into calcium carbonate (90.5...

This paper presents a new modelling technique for the deformation of thin anatomical structures like membranes and hollow organs. We show that the behaviour of this type of surface tissue can be abstracted with a modelling of their elastic resistance using shell theory. In order to apply the shell theory in the context of medical simulation, our method propose to base the geometrical reconstruc...

A cylindrical metallic plasmonic nano-antenna consisting of a shell supporting a disk, named capped shell, is proposed and studied by frequency domain finite element analysis. This new topology is shown to be weakly dependent on the radius of the structure and is therefore suitable for fabrication by parallel processes such as island lithography which generates a pseudo-random array with a dist...

This presentation reviews finite element shell analyses (linear and nonlinear, isotropic and anisotropic) of microscopic stomata modeled as doubly-elliptic toroidal shells. Stomata are the regulating valve in the seminal issue of water and carbon dioxide transport in plant biology. The finite element method allows more realistic modeling of complex geometries and material properties that are co...