Masonry Constructions: Mechanical Models and Numerical Applications (Lecture Notes in Applied and Computational Mechanics)

✍ Scribed by Massimiliano Lucchesi, Cristina Padovani, Giuseppe Pasquinelli, Nicola Zani

• Publisher: Springer
• Year: 2008
• Tongue: English
• Leaves: 168
• Edition: 1
• Category: Library

✦ Synopsis

Numerical methods for the structural analysis of masonry constructions can be of great value in assessing the safety of artistically important masonry buildings and optimizing potential operations of maintenance and strengthening in terms of their cost-effectiveness, architectural impact and static effectiveness. This monograph firstly provides a detailed description of the constitutive equation of masonry-like materials, clearly setting out its most important features. It then goes on to provide a numerical procedure to solve the equilibrium problem of masonry solids. A large portion of the work is devoted to examples and applications. After solving some simple equilibrium problems, for which the explicit and numerical solutions are compared, three cases dealing with the statics of important monuments are then presented. The numerical modeling yields essential information on the stress field and crack distribution, and enables assessing the effects of strengthening operations. Lastly, a ladle employed in the iron and steel industry is studied, and the behavior of the refractory material lining the metallic vessel characterized.

✦ Table of Contents

Contents......Page 11
1.1. Notations......Page 13
1.2. Finite-Dimensional Vector Spaces......Page 14
1.3. Linear Complementarity......Page 18
1.4. Vectors and Second-Order Tensors......Page 19
1.5. Gradient and Divergence......Page 25
1.6. Higher-Order Tensors......Page 26
1.7. Derivatives of Eigenvalues and Eigenvectors......Page 27
2.1. Masonry-Like Materials with Zero Tensile Strength and Infinite Compressive Strength......Page 30
2.1.1. Isotropic Materials......Page 36
2.1.2. The Two-Dimensional Case......Page 41
2.2. Masonry-Like Materials with Small Tensile Strength and Bounded Compressive Strength......Page 45
2.3. Masonry-Like Materials Under Non-Isothermal Conditions......Page 53
2.4. The Derivative of the Stress Function......Page 56
3.1. The Equilibrium Problem......Page 62
3.2. Variational Principles......Page 64
4.1. Algorithm for Solution of the Equilibrium Problem......Page 69
4.2. Fracture Strain Tensor and Cracked Regions......Page 73
4.3. The Finite Element Code COMES-NOSA......Page 76
5.1. Shells and Masonry Vaults......Page 77
5.2. The Maximum Modulus Eccentricity Surface......Page 78
5.3. The Limit Analysis of Masonry Arches and Vaults......Page 81
6. Comparison Between Explicit and Numerical Solutions......Page 84
6.1. The Circular Ring......Page 85
6.2. The Spherical Container......Page 88
6.3. The Trapezoidal Panel......Page 91
6.4. The Mosca Bridge in Turin......Page 98
6.5. The Circular Arch......Page 101
6.6. The Circular Plate......Page 104
6.7. The Spherical Dome......Page 107
7.1. The Medici Arsenal in Pisa......Page 112
7.2. The Church of San Pietro in Vinculis in Pisa......Page 119
7.3. The Dome of the Church of S. Maria Maddalena in Morano Calabro......Page 122
7.4. The Ladle......Page 128
7.4.1. Analysis at the End of Stage CT2......Page 135
7.4.2. Analysis at the End of Stage CT4......Page 136
A.1.1. Plane Strain State......Page 139
A.1.2. Plane Stress State......Page 142
A.2. Masonry-Like Materials under Non-Isothermal Conditions......Page 144
A.3. The Derivative of the Stress......Page 145
B. Algorithm for the Solution of the Equilibrium Problem: Non-Isothermal Case......Page 148
C. Flow-Chart and Element Library of COMES-NOSA......Page 151
D. The GiD2Nosa Interface......Page 154
References......Page 160
E......Page 166
P......Page 167
Y......Page 168