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New insights into the strong formulation finite element method for solving elastostatic and elastodynamic problems

Nicholas Fantuzzi — 2014

Curved and Layered Structures

This present paper has a complete and homogeneous presentation of plane stress and plane strain problems using the Strong Formulation Finite Element Method (SFEM). In particular, a greater emphasis is given to the numerical implementation of the governing and boundary conditions of the partial differential system of equations. The paper’s focus is on numerical stability and accuracy related to elastostatic and elastodynamic problems. In the engineering literature, results are mainly reported for...

Vibration analysis of multi-stepped and multi-damaged parabolic arches using GDQ

Erasmo Viola;  Marco Miniaci;  Nicholas Fantuzzi;  Alessandro Marzani — 2015

Curved and Layered Structures

This paper investigates the in-plane free vibrations of multi-stepped and multi-damaged parabolic arches, for various boundary conditions. The axial extension, transverse shear deformation and rotatory inertia effects are taken into account. The constitutive equations relating the stress resultants to the corresponding deformation components refer to an isotropic and linear elastic material. Starting from the kinematic hypothesis for the in-plane displacement of the shear-deformable arch, the equations...

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