Many historically and artistically important masonry buildings of the world’s architecturalheritageareindireneedofmaintenanceandrestoration.Inorder tooptimizesuchoperationsintermsofcost-e?ectiveness,architecturalimpact andstatice?ectiveness,accuratemodelsofthestructuralbehaviorofmasonry constructions are invaluable. The ultimate aim of such modeling is to obtain important information, such as the stress ?eld, and to estimate the extent of cracking and its evolution when the structure is subjected to variations in both boundary and loading conditions. Although masonry has been used in building for centuries, it is only - centlythatconstitutivemodelsandcalculationtechniqueshavebeenavailable that enable realistic description of the static behavior of structures made of this heterogeneous material whose response to tension is fundamentally d- ferent from that to compression. Important insights on the mechanical behavior of masonry arches and vaults come from as far back as Leonardo [10], Hooke [58], Poleni [92] and many other authors (see [47], [9] and [10] for detailed references). Castigliano, in his famous paper on the Mosca bridge [23], and Signorini, in his studies on masonry beams [97], [98], showed both the possibility and necessity of taking into account the weak tensile strength of masonry material.

Many historically and artistically important masonry buildings of the world’s architecturalheritageareindireneedofmaintenanceandrestoration.Inorder tooptimizesuchoperationsintermsofcost-e?ectiveness,architecturalimpact andstatice?ectiveness,accuratemodelsofthestructuralbehaviorofmasonry constructions are invaluable. The ultimate aim of such modeling is to obtain important information, such as the stress ?eld, and to estimate the extent of cracking and its evolution when the structure is subjected to variations in both boundary and loading conditions. Although masonry has been used in building for centuries, it is only - centlythatconstitutivemodelsandcalculationtechniqueshavebeenavailable that enable realistic description of the static behavior of structures made of this heterogeneous material whose response to tension is fundamentally d- ferent from that to compression. Important insights on the mechanical behavior of masonry arches and vaults come from as far back as Leonardo [10], Hooke [58], Poleni [92] and many other authors (see [47], [9] and [10] for detailed references). Castigliano, in his famous paper on the Mosca bridge [23], and Signorini, in his studies on masonry beams [97], [98], showed both the possibility and necessity of taking into account the weak tensile strength of masonry material.

Numerical Modeling of Masonry and Historical Structures: From Theory to Application provides detailed information on the theoretical background and practical guidelines for numerical modeling of unreinforced and reinforced (strengthened) masonry and historical structures. The book consists of four main sections, covering seismic vulnerability analysis of masonry and historical structures, numerical modeling of unreinforced masonry, numerical modeling of FRP-strengthened masonry, and numerical modeling of TRM-strengthened masonry. Each section reflects the theoretical background and current state-of-the art, providing practical guidelines for simulations and the use of input parameters. Covers important issues relating to advanced methodologies for the seismic vulnerability assessment of masonry and historical structures Focuses on modeling techniques used for the nonlinear analysis of unreinforced masonry and strengthened masonry structures Follows a theory to practice approach

This successful book, which is now appearing in its second edition, presents a comprehensive new Statics of Masonry Constructions. Masonry constructions are the great majority of the buildings in Europe’s historic centres and the most important monuments in its architectural heritage. Given the age of these constructions, the demand for safety assessments and restoration projects is pressing and constant. The book you hold in hands contributes to fill this demand. The second edition integrates the original text of the first edition with new developments, widening and revisions, due to recent research studies achievements. The result is a book that gives a complete picture of the behaviour of the Masonry Constructions. First of all, it gives the fundamentals of its Statics, based on the no-tension assumption, and then it develops the Limit Analysis for the Masonry Constructions. In this framework, through an interdisciplinary approach combining Engineering and Architecture, the book also investigates the static behaviour of many historic monuments, such as the Pantheon, the Colosseum, the domes of Santa Maria del Fiore in Florence and St Peter’s in Rome, as well as the Leaning Tower of Pisa, the Gothic Cathedrals. Finally, the book gives an in-depth study of masonry buildings under seismic actions.

The book aims to provide an overview of the state of the art on the mechanics of arches and masonry structures. It is addressed to an international audience, arising from the international context in which the Associazione Edoardo Benvenuto has carried out its activities in recent years, under the honorary presidency of Jacques Heyman. The book belongs to the collection Between Mechanics and Architecture, born in 1995 from the collaboration of several renowned scholars, including Edoardo Benvenuto (P. Radelet-de Grave, E. Benvenuto (eds.), Entre Mécanique et Architecture / Between Mechanics and Architecture, Birkhäuser, Basel 1995).

The Discrete Element Method (DEM) has emerged as a solution to predicting load capacities of masonry structures. As one of many numerical methods and computational solutions being applied to evaluate masonry structures, further research on DEM tools and methodologies is essential for further advancement. Computational Modeling of Masonry Structures Using the Discrete Element Method explores the latest digital solutions for the analysis and modeling of brick, stone, concrete, granite, limestone, and glass block structures. Focusing on critical research on mathematical and computational methods for masonry analysis, this publication is a pivotal reference source for scholars, engineers, consultants, and graduate-level engineering students.

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.