| Description |
1 online resource (xii, 163 pages) : illustrations |
| Series |
Lecture notes in applied and computational mechanics ; v. 39 |
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Lecture notes in applied and computational mechanics ; v. 39
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| Contents |
Cover -- Contents -- 1 Elements of Tensor Algebra and Analysis -- 1.1 Notations -- 1.2 Finite-Dimensional Vector Spaces -- 1.3 Linear Complementarity -- 1.4 Vectors and Second-Order Tensors -- 1.5 Gradient and Divergence -- 1.6 Higher-Order Tensors -- 1.7 Derivatives of Eigenvalues and Eigenvectors -- 2 The Constitutive Equations of Masonry-Like Materials -- 2.1 Masonry-Like Materials with Zero Tensile Strength and Infinite Compressive Strength -- 2.1.1 Isotropic Materials -- 2.1.2 The Two-Dimensional Case -- 2.2 Masonry-Like Materials with Small Tensile Strength and Bounded Compressive Strength -- 2.3 Masonry-Like Materials Under Non-Isothermal Conditions -- 2.4 The Derivative of the Stress Function -- 3 Equilibrium of Masonry Bodies -- 3.1 The Equilibrium Problem -- 3.2 Variational Principles -- 4 The Numerical Method -- 4.1 Algorithm for Solution of the Equilibrium Problem -- 4.2 Fracture Strain Tensor and Cracked Regions -- 4.3 The Finite Element Code COMES-NOSA -- 5 Masonry Arches, Vaults and Domes -- 5.1 Shells and Masonry Vaults -- 5.2 The Maximum Modulus Eccentricity Surface -- 5.3 The Limit Analysis of Masonry Arches and Vaults -- 6 Comparison Between Explicit and Numerical Solutions -- 6.1 The Circular Ring -- 6.2 The Spherical Container -- 6.3 The Trapezoidal Panel -- 6.4 The Mosca Bridge in Turin -- 6.5 The Circular Arch -- 6.6 The Circular Plate -- 6.7 The Spherical Dome -- 7 Applications -- 7.1 The Medici Arsenal in Pisa -- 7.2 The Church of San Pietro in Vinculis in Pisa -- 7.3 The Dome of the Church of S. Maria Maddalena in Morano Calabro -- 7.4 The Ladle -- 7.4.1 Analysis at the End of Stage CT2 -- 7.4.2 Analysis at the End of Stage CT4 -- A The Constitutive Equation of Masonry-Like Materials: the Two-Dimensional Case -- A.1 Masonry-Like Materials with Small Tensile Strength and Bounded Compressive Strength -- A.1.1 Plane Strain State -- A.1.2 Plane Stress State -- A.2 Masonry-Like Materials under Non-Isothermal Conditions -- A.3 The Derivative of the Stress -- B Algorithm for the Solution of the Equilibrium Problem: Non-Isothermal Case -- C Flow-Chart and Element Library of COMES-NOSA -- D The GiD2Nosa Interface -- References -- Index |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Masonry.
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Structural analysis (Engineering) -- Mathematical models
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Equilibrium.
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equilibrium (structural analysis concept)
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TECHNOLOGY & ENGINEERING -- Structural.
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Ingénierie.
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Equilibrium.
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Masonry.
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Structural analysis (Engineering) -- Mathematical models.
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| Form |
Electronic book
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| Author |
Lucchesi, Massimiliano
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| ISBN |
9783540791119 |
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3540791116 |
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9783540791102 |
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3540791108 |
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1281513261 |
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9781281513267 |
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9786611513269 |
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6611513264 |
|
