Isogeometric Analysis: Some recent advances with applications to complex and coupled problems

Alessandro Reali

University of Pavia

Thursday 16th January 2025

14:00:00

Sala Consiglio (VII Piano), Dipartimento di Matematica, Politecnico di Milano

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Isogeometric Analysis (IGA) is a successful simulation framework originally proposed by T.J.R. Hughes et al. in 2005, with the aim of bridging Computational Mechanics and Computer Aided Design. In addition to this, thanks to the high-regularity properties of its basis functions, IGA has shown a better accuracy per degree-of-freedom and an enhanced robustness with respect to standard finite elements in many applications, ranging from solids and structures to fluids, as well as to different kinds of coupled problems, also opening the door to the approximation in primal form of higher-order partial differential equations. After a concise introduction of the basic isogeometric concepts, this lecture aims at presenting an overview of some recent advances with a special focus on coupled problems where the characteristics of IGA seem to be of great advantage, including the simulation of fluid-structure interaction in different contexts (e.g., biomedical problems), studies on the effects of mechanically-induced stresses on prostate cancer growth, thermo-mechanical simulations for additive manufacturing processes, electro-mechanical simulations for biological tissues, and the use of phase-field modeling for fracture and topology optimization problems or for predicting the polarization evolution in elastic ferroelectric materials. Contatto: paola.antonietti@polimi.it

Alessandro Reali (born in 1977) is Full Professor of Solid and Structural Mechanics at the University of Pavia since 2016. He is currently the Rector’s Delegate for International Research (2019-2025) as well as a member of the Regional Forum for Research & Innovation of Regione Lombardia (2023-2025); moreover, he served as the Dean of the Department of Civil Engineering and Architecture for two terms (2018-2024) and as a member of the Academic Senate (2018-2019). He is specialized in different engineering fields, such as numerical simulation, structural and materials mechanics, biomechanics. During his academic career, he supervised more than 20 PhD students and 15 Postdoctoral fellows. He was the principal investigator of several national and international research projects, including a prestigious ERC grant of the European Research Council. He published about 190 papers on international journals and received more than 16,000 citations with an h-index of 60 (according to Google Scholar). He was also invited to deliver over 100 seminars at internationally renowned institutions, as well as 35 plenary/keynote lectures and more than 40 other invited lectures at international conferences. For his research achievements he received numerous honors and awards, and was appointed, among others, Fellow of the European Academy of Sciences, Knight Commander of the Order of Merit of the Italian Republic, Clarivate/ISI Highly Cited Researcher, Ambassador of the Technical University of Munich - TUM, ECCOMAS Euler medalist, Panetti-Ferrari medalist (Accademia delle Scienze di Torino), IACM Fellows awardee, Fischer Fellow (TUM Institute for Advanced Study), Finzi awardee (Istituto Lombardo – Accademia di Scienze e Lettere), IACM Argyris awardee, ECCOMAS Zienkiewicz awardee, AIMETA Junior awardee. More information can be found at: www.unipv.it/alereali.