Sviluppo di nuove soluzioni analitiche per le distribuzioni di tensione ed energia in solidi ortotropi con variazioni geometriche

L'obbiettivo di questo lavoro sarà di formulare soluzioni analitiche innovative per piastre intagliate in materiale ortotropo. L'intaglio analizzato sarà l'intaglio di Neuber e a V raccordato. Le soluzioni generate saranno a Modo I e II per diversi materiali ortotropi, ottenute tramite il metodo di perturbazione dei potenziali. Infine sarà presentata un'analisi di risultati di campi tensionali in piastre intagliate bi-materiale, proponendo approcci per soluzioni analitiche al problema

Three-Dimensional Stress Fields in Thick Orthotropic Plates with Sharply Curved Notches under In-Plane and Out-of-Plane Shear

In this paper, an analytical solution for the stress fields in the close neighbourhoods of radiused notches in thick orthotropic plates under shear loading and twisting is provided. In the first step, the equations of the three-dimensional theory of elasticity are successfully reduced to two uncoupled equations in two-dimensional space. Later, the 3D stress field solution for orthotropic plates with radiused notches is presented and its degree of accuracy is discussed by comparing theoretical results and numerical data from 3D FE analyses. The solution proposed can be satisfactorily used to characterise the stress field in plates made with polymeric composite materials, such as fibre-reinforced polymers and natural composites

Recent Advances in the Analytical Stress Field Solutions for Radiused Notches in Orthotropic Solids

The main aim of this work is to provide a brief overview of the analytical solutions available to describe the in-plane and out-of-plane stress fields in orthotropic solids with radiused notches. To this end, initially, a brief summary on the bases of complex potentials for orthotropic elasticity is presented, with reference to plane stress or strain and antiplane shear problems. Subsequently, the attention is moved to the relevant expressions for the notch stress fields, considering elliptical holes, symmetric hyperbolic notches, parabolic notches (blunt cracks), and radiused V-notches. Eventually, examples of applications are presented, comparing the presented analytical solutions with the results from numerical analyses carried out on relevant cases