The role of frictional contact of constituent blocks on the stability of masonry domes

被引:35
作者
Beatini, Valentina [1 ]
Royer-Carfagni, Gianni [2 ,3 ]
Tasora, Alessandro [2 ]
机构
[1] Abdullah Gul Univ, Dept Architecture, Sumer Kampus, TR-38280 Kayseri, Turkey
[2] Univ Parma, Dept Engn & Architecture, Parco Area Sci 181-A, I-43100 Parma, Italy
[3] CNR, ITC, Natl Res Council Italy, Construct Technol Inst, I-20098 San Giuliano Milanese, Mi, Italy
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2018年 / 474卷 / 2209期
关键词
masonry; domes; drum; tiburium; friction; non-smooth contact dynamics; DIFFERENTIAL VARIATIONAL-INEQUALITIES; DYNAMICS METHOD; FUNICULAR ANALYSIS; NSCD METHOD; BEHAVIOR; VAULTS;
D O I
10.1098/rspa.2017.0740
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The observation of old construction works confirms that masonry domes can withstand tensile hoop stresses, at least up to a certain level. Here, such tensile resistance, rather than a priori assumed as a property of the bulk material, is attributed to the contact forces that are developed at the interfaces between interlocked blocks under normal pressure, specified by Coulomb's friction law. According to this rationale, the aspect ratio of the blocks, as well as the bond pattern, becomes of fundamental importance. To investigate the complex assembly of blocks, supposed rigid, we present a non-smooth contact dynamic analysis, implemented in a custom software based on the Project Chrono C++ framework and complemented with parametric-design interfaces for pre- and post-processing complex geometries. Through this advanced tool, we investigate the role of frictional forces resisting hoop stresses in the stability of domes, either circular or oval, under static and dynamic loading, focusing, in particular, on the structural role played by the underlying drumand the surmounting tiburium.
引用
收藏
页数:21
相关论文
共 35 条
[1]  
Acary V, 2008, LECT NOTES APPL COMP, V35, P1, DOI 10.1007/978-3-540-75392-6
[2]   On the equilibrium of funicular polyhedral frames and convex polyhedral force diagrams [J].
Akbarzadeh, Masoud ;
Van Mele, Tom ;
Block, Philippe .
COMPUTER-AIDED DESIGN, 2015, 63 :118-128
[3]   An iterative approach for cone complementarity problems for nonsmooth dynamics [J].
Anitescu, Mihai ;
Tasora, Alessandro .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2010, 47 (02) :207-235
[4]   A regularized non-smooth contact dynamics approach for architectural masonry structures [J].
Beatini, Valentina ;
Royer-Carfagni, Gianni ;
Tasora, Alessandro .
COMPUTERS & STRUCTURES, 2017, 187 :88-100
[5]   Nonmonotone spectral projected gradient methods on convex sets [J].
Birgin, EG ;
Martínez, JM ;
Raydan, M .
SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (04) :1196-1211
[6]   Three-dimensional funicular analysis of masonry vaults [J].
Block, P. ;
Lachauer, L. .
MECHANICS RESEARCH COMMUNICATIONS, 2014, 56 :53-60
[7]   Experimental and analytical investigation on the frictional contact behavior of 3D masonry block assemblages [J].
Casapulla, C. ;
Portioli, F. .
CONSTRUCTION AND BUILDING MATERIALS, 2015, 78 :126-143
[8]   NSCD discrete element method for modelling masonry structures [J].
Chetouane, B ;
Dubois, F ;
Vinches, M ;
Bohatier, C .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (01) :65-94
[9]  
Como M., 2013, STATICS HIST MASONRY
[10]   The bipotential method: A constructive approach to design the complete contact law with friction and improved numerical algorithms [J].
De Saxce, G ;
Feng, ZQ .
MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (4-8) :225-245