Speaker: Dr. Paolo Piersanti
Time: 14:30-15:30, 18 February 2025 (Tuesday) (Beijing time)
Venue: T1-108,UIC
Abstract
In solid mechanics, shells are three-dimensional structures of small thickness compared to the extension they cover. Such structures are abundant in nature (eggs, snails, turtles, blood vessels,...) but also in industry (ship hulls, plane fuselage, roofs, glasses, tires...). One of the reasons for this popularity is because of their ability to sustain applied loads in a very effective way, with the minimum amount of material they require, and the lightness and economy that this represents. One of the most popular models for studying the deflection of a linearly elastic shell is Koiter’s model. Koiter’s model is a two-dimensional model (two-dimensional, in the sense that it is defined over a two-dimensional subset of the Euclidean plane) that was formulated by solely resorting to assumption of geometrical (Kirchhoff—Love) and mechanical (Fritz John) nature. Koiter’s model was proved to be, in the obstacle-free case (Ciarlet, Lods & Miara 1996), an adequate replacement for the standard equations of three-dimensional linearized elasticity. The latter discovery allowed practitioners to avoid dealing with the locking phenomenon when implementing numerical simulations for shells models.
In this talk, we review some recent contributions concerning the mathematical justification and the numerical analysis of Koiter’s model for linearly elastic shells constrained to remain confined in a prescribed half space. We will examine the special cases where the linearly elastic shell under consideration is an elliptic membrane and a flexural shell.
About the Speaker
Dr. Paolo Piersanti obtained his Ph.D. degree in Mathematics from City University of Hong Kong in 2019,working under the supervision of Professor Philippe G. Ciarlet. Prior to joining The Chinese University of Hong Kong, Shenzhen, Dr. Piersanti held an appointment as a Zorn Postdoctoral Fellow at Indiana University Bloomington, where he conducted research under the direction of Professor Roger M. Temam.
Dr. Piersanti's major research interests include Elasticity Theory, Liquid Crystals Modelling, Mathematical Glaciology, Mathematical Biology, and Numerical Analysis for the solutions of Partial Differential Equations, Scientific Computing, and Deep Learning.
