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Mechanics of Masonry Structures 2014 ed. [Kõva köide]

  • Formaat: Hardback, 341 pages, kõrgus x laius: 235x155 mm, kaal: 7209 g, 94 Illustrations, color; 77 Illustrations, black and white; XIII, 341 p. 171 illus., 94 illus. in color., 1 Hardback
  • Sari: CISM International Centre for Mechanical Sciences 551
  • Ilmumisaeg: 08-Apr-2014
  • Kirjastus: Springer Verlag GmbH
  • ISBN-10: 3709117739
  • ISBN-13: 9783709117736
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  • Formaat: Hardback, 341 pages, kõrgus x laius: 235x155 mm, kaal: 7209 g, 94 Illustrations, color; 77 Illustrations, black and white; XIII, 341 p. 171 illus., 94 illus. in color., 1 Hardback
  • Sari: CISM International Centre for Mechanical Sciences 551
  • Ilmumisaeg: 08-Apr-2014
  • Kirjastus: Springer Verlag GmbH
  • ISBN-10: 3709117739
  • ISBN-13: 9783709117736
Teised raamatud teemal:

Recent advances in functional analysis and homogenization have multiple applications in modeling the mechanics of masonry structures. This book has more than 50 examples that help readers master the use of unilateral and interface models.



The experience of people working with different perspectives in different fields of masonry modeling, from mathematics to applied engineering and practice, is brought together in this book. It presents both the theoretical background and an overview of the state-of-the-art in static and dynamic masonry modeling.
1 Masonry behaviour and modelling
1(26)
M. Angelillo
P. B. Lourenco
G. Milani
Premise
1(1)
Basic behaviour of masonry and simplified unilateral models
2(11)
Local failure modes
2(1)
Structural failure mechanisms
3(3)
Experimental observations: results of typical tests
6(2)
Simplified uniaxial models
8(5)
Masonry behavior of regularly arranged masonry structures. Homogenization and refined models
13(11)
Introduction
13(4)
Mechanical Behaviour of Masonry, Observations and Numerical Data
17(6)
Example of application
23(1)
Bibliography
24(3)
I Simplified Models
27(184)
2 Mathematics of the Masonry-Like model and Limit Analysis
29(42)
M. Silhavy
Introduction
29(2)
Constitutive equations
31(7)
Vector valued measures
38(2)
Loads
40(6)
The existence of equilibrium states
46(7)
Limit analysis
53(5)
Families of measures and the weak compatibility of loads
58(4)
Integration with gravity
62(5)
Bibliography
67(4)
3 A numerical method for solving BVP of masonry-like solids
71(38)
M. Lucchesi
Introduction
71(33)
Explicit expression for the stress function for isotropic masonry-like materials and its derivative
73(4)
The equilibrium problem and a numerical method for its solution
77(5)
Comparison between the explicit and numerical solutions
82(5)
Example applications
87(6)
A numerical method for dynamic analysis of slender masonry structures
93(11)
Bibliography
104(5)
4 Practical applications of unilateral models to Masonry Equilibrium
109(102)
M. Angelillo
Basic tools
109(9)
Preliminaries
110(1)
Equilibrated stress fields, regularity of T
110(2)
Compatible displacement fields, regularity of u
112(1)
Dirac deltas: a familiar example
113(2)
Singular stress and strain as line Dirac deltas
115(3)
Model zero (RNT)
118(39)
Constitutive restrictions and equilibrium problem
119(1)
Statically admissible stress fields
120(1)
Fundamental partition
121(1)
Concavity of the Airy's stress function
122(2)
Kinematically admissible displacement fields
124(2)
Compatibility of loads and distortions
126(2)
Incompatibility of loads and distortions
128(2)
Limit Analysis
130(2)
Simple applications of the theorems of Limit Analysis
132(21)
Derand's rule
153(4)
Model one (NENT)
157(30)
A Premise on Minimum problems and the peculiarity of NT materials
157(1)
The Boundary Value Problem for NENT materials
158(3)
Strain energy density in 2d
161(1)
Function spaces for the potential energy functional
162(2)
Complementary energy functional
164(1)
Examples of non-existence
165(1)
Elementary analytical solutions
165(11)
Masonry-like panels under flexure, shear and compression: Mansfield-Fortunato semi-analytical solutions
176(11)
Model two (ML)
187(20)
The equilibrium problem for ML materials
188(3)
Numerical minimization strategy
191(5)
Numerical examples
196(11)
Bibliography
207(4)
II Refined Models
211
5 Modeling the interfaces in masonry structures
213(28)
F. Lebon
Introduction
213(3)
Some comments on experimental results
216(3)
Brick-brick interactions: dry friction
216(1)
Brick-mortar interactions
217(2)
Masonry structures without mortar: dry friction modeling (model 1)
219(7)
Unilateral contact
220(1)
Dry Friction
220(1)
Formulations
220(6)
Masonry blocks with mortar
226(11)
A phenomenological model taking the adhesion into account (model 2)
226(2)
Deductive models: linear (and non linear) multi-scale models
228(9)
Conclusion
237(1)
Bibliography
237(4)
6 Micro, Multiscale and Macro Models for Masonry Structures
241(52)
E. Sacco
Introduction
241(1)
Micromechanical modeling
242(13)
Interface model
245(4)
Numerical applications
249(6)
Multiscale modeling
255(17)
Macro-level model
259(1)
Micro-level model
260(3)
Homogenization technique
263(4)
Numerical applications
267(5)
Macromechanical modeling
272(12)
Plastic-nonlocal damage model
274(4)
Plastic model
278(1)
Plastic-damage rate problem
278(2)
Numerical applications
280(4)
Conclusions
284(2)
Bibliography
286(7)
7 Homogenization and Seismic Assessment: Review and Recent Trends
293
P. B. Lourenco
G. Milani
Homogenization Theory, Basic Assumptions
293(30)
Closed-form and simplified solutions in the linear elastic range
296(5)
Simplified stress assumed FE discretization
301(3)
Linear elastic case
304(2)
Constant Stress Triangular elements discretization of the unit cell
306(3)
Homogenized failure surfaces
309(13)
Out-of-plane homogenized failure surfaces
322(1)
Structural Level
323(4)
In-plane loads: shear wall with central opening
324(1)
Out-of-plane loads: windowed panel in two-way bending
325(2)
Dynamics and Seismic Behaviour
327(8)
Masonry structures with box behaviour
328(3)
Masonry structures without box behaviour
331(4)
Conclusions
335(1)
Bibliography
336