The brick and tile of the existing masonry structures are precious, so it is not feasible that the components are used as the dismantling unit for maintenance and reinforcement. The homogenization method is an ef ective multi-scale calculation method, which can be used to establish the analysis model of masonry on the mesoscopic-level. The plane tessellation deconstruction method of masonry structure is proposed, exploring the internal tessellation laws of masonry under dif erent bricklaying methods, and the theoretical system of periodic plane segmentation of masonry is established. Based on regular tessellation theory, the plane segmentation of masonry structures under three kinds of bricklaying methods is periodically carried out through rectangular unit lattice. Deconstructing the smallest element of the tessellation form, the boundary condition of equivalent volume element (RVE) is derived. On the premise of selecting reasonable material parameters, RVE models under three kinds of bricklaying methods are built by finite element software ABAQUS, and the equivalent parameters are obtained to realize the simulation analysis of masonry structure based on micro-mechanics. The results show that the strength of running bonding RVE is higher than that of the other two kinds, and the strength of header bonding RVE is the lowest. The finite element results are compared with the compressive strength results of the specimens under three kinds of bricklaying methods in the existing tests. The results are in good agreement, which shows that the compressive capacity of masonry structures with homogenization simulation under three kinds of bricklaying methods is reliable while homogenization reflects the mechanical characteristics of masonry structure as a whole. The rigid homogenization method based on regular tessellation theory takes brick by brick as components to be dismantled and replaced in the ancient architecture, which opens a new way for the fine analysis of masonry structure. The rigid homogenization method maximizes the protection of the ancient masonry structure, which is of great significance for the protection of human cultural heritage.
 L.Gambarotta and S.Lagomarsino. Damage models for the seismic response of brick masonry shear walls. Part I: The mortar joint model and its applications. Earthquake Engineering and Structural Dynamics, (1997), 26(3): 423-439
 Anthoine, A. Derivation of the in-plane elastic characteristics of masonry through homogenization theory. International Journal of Solids and Structures, (1995)32, pp. 137- 163.
 P.Pegon and A. Anthoine, Numerical strategies for solving continuum damage problems with softening Application to the homogenization of masonry, Computers and Structures, (1997)64, pp. 623-642, .
 A.Anthoine. Second-order homogenization of functionally graded materials. Inter-nation Journal of Solids and Structures.(2010)47, pp.1477-1489
 Daquan Wang. Nonlinear Analysis of Masonry Applying the RVE Homogenization Methods. (2002), pp.45-60
 Jimei Shen. Study on Homogenization Process of Masonry and Its Applications Using Numerical Simulation. (2012), pp.29-60
 Yalin Li. Study on compressive behavior of cross bore block masonry under different masonry methods. (2015), pp.20-42
 Yaying Wu. Research on the Rigid Homogenization Theory of Masonry Structures Based on Regular Tessellation Theory. (2012), pp.33-50
 Chengyi Li. Study on the Rigid Homogenization Model of Masonry under Different Masonry Methods (2015), pp.29-63
 Zhiwei Hu. The Research on the impact of masonry methods on the brick masonry mechanical properties. (2015), pp.50-66
Are you one of the authors of this document?