Mathematical Modeling in Cultural Heritage

ISBN-13: 9789819936786 / Angielski / Twarda / 2023

Opis

This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches.

The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.

Spis treści

Introduction 

Round Table The impact of Covid-19 pandemic on cultural heritage: from fruition to conservation practises Gabriella Bretti, Cecilia Cavaterra, Margherita Solci and Michela Spagnuolo

Numerical simulation of the Athens 1999 earthquake including simplified models of the Acropolis and the Parthenon: initial results and outlook Paola F. Antonietti, Carlo Cauzzi, Ilario Mazzieri, Laura Melas and Marco Stupazzini

Randomness in a nonlinear model of sulphation phenomena Francesca Arceci, Luca Maria Giordano, Mario Maurelli, Daniela Morale and Stefania Ugolini

Automatic description of rubble masonry geometries by machine learning based approach Antonio Bilotta, Andrea Causin, Margherita Solci and Emilio Turco

Themes and reflections upon structural analysis in the field of archaeology Roberto Busonera and Alessandra Ten

A model for craquelure: brittle layers on elastic substrates Andrea Braides, Andrea Causin, and Margherita Solci

From point clouds to 3D simulations of marble sulfation Armando Coco, Silvia Preda and Matteo Semplice 

A semi-analytical approach to approximate chattering time of rocking structures Anastasios I. Giouvanidis, Elias G. Dimitrakopoulos and Paulo B. Lourenço

Numerical modelling of historical masonry structures with the finite element code NOSA-ITACA Maria Girardi, Cristina Padovani, Daniele Pellegrini, Margherita Porcelli and Leonardo Robol

Mathematical Methods for the Shape Analysis and Indexing of Tangible CH artefacts Elia Moscoso Thompson, Chiara Romanengo, Andrea Scalas, Chiara E. Catalano, 

Michela Mortara, Silvia Biasotti, Bianca Falcidieno and Michela Spagnuolo

Multiscale carbonation models – a review Adrian Muntean 

Forecasting damage and consolidation: mathematical models of reacting flows in porous media Roberto Natalini

Models and mathematical issues in color film restorations Alice Plutino, Beatrice Sarti and Alessandro Rizzi

O autorze

GABRIELLA BRETTI

Gabriella Bretti is a permanent researcher at IAC-CNR. Her actual research interests are focused on modelling and numerics for nonlinear PDEs, flows in heterogeneous media, differential models in mathematical biology and medicine, inverse problems and mathematical models of chemical damage and consolidation of lapideus materials. The mentioned topics imply the application of interdisciplinary methodologies and techniques requiring the integration between mathematics, physics, engineering and chemistry. Her expertise in Cultural Heritage (CH) consists in the development of mathematical models, simulation algorithms and their calibration and validation against laboratory data. From 2018 she is/was involved in regional and national projects for the development of predictive mathematical tools for the conservation of CH: ADAMO and SISMI (DTC project Latium), Pomerium (ESA project) and H2IOSC (PNRR project).

CECILIA CAVATERRA

Cecilia Cavaterra is associate professor of Mathematical Analysis at Università degli Studi di Milano. She got a Ph.D. in Mathematics at  Alma Mater Studiorum - Università di Bologna. Her main research interests concern nonlinear partial differential equations, dynamical systems, inverse and control problems. Recently, she studied some models describing the chemical and mechanical degradation of monumental stones in cultural heritage. She was one of the editors of the volume Mathematical Modeling in Cultural Heritage - MACH2019, Springer INdAM Series 41, 2021.

MARGHERITA SOLCI 

Margherita Solci is associate professor of Mathematical Analysis at Università degli Studi di Sassari. She got a Ph.D. in Mathematics at Università di Pavia. Her research activity focuses on Calculus of Variations, Gamma-convergence, homogenization, analysis of discrete-to-continuum models via variational convergence. Recently, she worked on evolution problems for structural damage in archaeological buildings. She was one of the editors of the volume Mathematical Modeling in Cultural Heritage - MACH2019, Springer INdAM Series 41, 2021.

MICHELA SPAGNUOLO

Michela Spagnuolo is Research Director and Director of the Institute of Applied Mathematics and Information Technologies "E. Magenes "(IMATI). Her scientific activity deals with the study and development of geometric and topological methods for the representation, comparison and characterization of surfaces and volumes. Application to Cultural Heritage includes primarily similarity assessment for classification and characterisation of 3D assets. She authored more than 160 peer-reviewed scientific papers, one book on mathematical methods for the shape analysis, and edited several special issues and books on the topics of shape analysis and modelling. She’s currently associate editor of international journals, and chaired  several international conferences, including Eurographics 2019, and is member of the steering committee of Eurographics workshop on Graphics and Cultural Heritage. In 2014 she was elected Fellow of EUROGRAPHICS, and serves now as vice-president the same association.