Mathematical Modeling in Cultural Heritage

MACH2019

Elena Bonetti, Cecilia Cavaterra, Roberto Natalini, Margherita Solci (Herausgeber)

Buch | Softcover

X, 164 Seiten

2022 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-58079-7 (ISBN)

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This work collects the contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage - MACH2019" held in Rome in March 2019. 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, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing. The final goal is to build a permanent bridge between the experts in cultural heritage and the mathematical community. The work is addressed to experts in cultural heritage and to mathematicians.

lt;p> Elena Bonetti is associate professor of Mathematical Analysis at Università degli Studi di Milano, where she got her Ph.D. in Mathematics. Her research activity focuses on systems of nonlinear partial differential equations with applications to phase transitions and separations phenomena, non-smooth thermo-mechanical models, smart materials behaviour, adhesion and damage problems. Recently, she analysed new models for restoration and conservation of monumental stones in cultural heritage subject to chemical and mechanical degradation.

1 Azzena, G. and Busonera, R., To know without destroying?.- 2 Bilotta, A. et al., Representative Volume Elements for the analysis of concrete like materials by computational homogenization.- 3 Bonetti, E. et al., A new nonlocal temperature-dependent model for adhesive contact.- 4 Bonetti, E. et al., Chemomechanical degradation of monumental stones: preliminary results.- 5 Bretti, G. et al., Modelling the efects of protectve treatments in porous.- 6 Caruso, G. et al., Mathematical models for infrared analysis applied to cultural.- 7 Coco, A. et al., Numerical simulations of marble sulfation.- 8 Comite, V. and Fermo, P., The damage induced by atmospheric pollution on stone surfaces: the chemical characterization of black crus.- 9 Conti, M. et al., Aging of viscoelastic materials: a mathematical model.- 10 Negri, M., A quasi-static model for craquelure patterns

Erscheinungsdatum	05.02.2022
Reihe/Serie	Springer INdAM Series
Zusatzinfo	X, 164 p. 84 illus., 62 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	308 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	corrosion and sulphation of materials • Mathematical modeling in cultural heritage • Mechanics of Materials • numerical simulation • Partial differential equations
ISBN-10	3-030-58079-2 / 3030580792
ISBN-13	978-3-030-58079-7 / 9783030580797
Zustand	Neuware