Lucchesi / Padovani / Pasquinelli Masonry Constructions: Mechanical Models and Numerical Applications

1. Auflage 2008
ISBN: 978-3-540-79111-9
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 164 Seiten

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.

Autoren/Hrsg.

Lucchesi, Massimiliano

Padovani, Cristina

Pasquinelli, Giuseppe

Zani, Nicola

Inhaltsverzeichnis

1;Preface;7
2;Contents;11
3;1 Elements of Tensor Algebra and Analysis;13
3.1;1.1 Notations;13
3.2;1.2 Finite-Dimensional Vector Spaces;14
3.3;1.3 Linear Complementarity;18
3.4;1.4 Vectors and Second-Order Tensors;19
3.5;1.5 Gradient and Divergence;25
3.6;1.6 Higher-Order Tensors;26
3.7;1.7 Derivatives of Eigenvalues and Eigenvectors;27
4;2 The Constitutive Equations of Masonry-Like Materials;31
4.1;2.1 Masonry-Like Materials with Zero Tensile Strength and Infinite Compressive Strength;31
4.2;2.2 Masonry-Like Materials with Small Tensile Strength and Bounded Compressive Strength;46
4.3;2.3 Masonry-Like Materials Under Non-Isothermal Conditions;54
4.4;2.4 The Derivative of the Stress Function;57
5;3 Equilibrium of Masonry Bodies;63
5.1;3.1 The Equilibrium Problem;63
5.2;3.2 Variational Principles;65
6;4 The Numerical Method;71
6.1;4.1 Algorithm for Solution of the Equilibrium Problem;71
6.2;4.2 Fracture Strain Tensor and Cracked Regions;75
6.3;4.3 The Finite Element Code COMES-NOSA;78
7;5 Masonry Arches, Vaults and Domes;79
7.1;5.1 Shells and Masonry Vaults;79
7.2;5.2 The Maximum Modulus Eccentricity Surface;80
7.3;5.3 The Limit Analysis of Masonry Arches and Vaults;83
8;6 Comparison Between Explicit and Numerical Solutions;87
8.1;6.1 The Circular Ring;88
8.2;6.2 The Spherical Container;91
8.3;6.3 The Trapezoidal Panel;94
8.4;6.4 The Mosca Bridge in Turin;101
8.5;6.5 The Circular Arch;104
8.6;6.6 The Circular Plate;107
8.7;6.7 The Spherical Dome;110
9;7 Applications;115
9.1;7.1 The Medici Arsenal in Pisa;115
9.2;7.2 The Church of San Pietro in Vinculis in Pisa;122
9.3;7.3 The Dome of the Church of S. Maria Maddalena in Morano Calabro;125
9.4;7.4 The Ladle;131
10;A The Constitutive Equation of Masonry-Like Materials: the Two- Dimensional Case;143
10.1;A.1 Masonry-Like Materials with Small Tensile Strength and Bounded Compressive Strength;143
10.2;A.2 Masonry-Like Materials under Non-Isothermal Conditions;148
10.3;A.3 The Derivative of the Stress;149
11;B Algorithm for the Solution of the Equilibrium Problem: Non- Isothermal Case;153
12;C Flow-Chart and Element Library of COMES- NOSA;157
13;D The GiD2Nosa Interface;161
14;References;167
15;Index;173