Study On The Rigid Homogenization Model Of Masonry Under Different Masonry Methods

The most reasonable and the main analysis methods of masonry structure are mainly based on experiments,but it can be wasted in a large amount of time and resources according to the test cycle.Based on the analysis of composite materials,the strict homogeniaztion method can be used for the periodicity of the structure.it can be put forward theoretical analysis method which contains strict mathematical basis,and it can start from the small "cell element" of the structure,at the same time,input it into the macro and micro scale.In order to establish the bond between the macro and micro,join the unit load and boundary conditions into "cell element".Based on the strict homogeniaztion theory,this paper analyzes and studies the numerical simulation method of masonry RVE homogenization process,and applies equivalent parameters to the existing experiment.The specific work is as follows:(1)Summed up the strict homogeniaztion theory and its application development status.Pointed out the deficiency of masonry structure at present.Indicated the rationality and the necessity of putting strict homogeniaztion theory into masonry structure.Instruction the development stage and technical classification of homogenization,and then,described the two dimensional periodicity.two dimensional periodic materials?cyclic stress?strain periodic displacement and the two dimensional basis unit.Compared the gradual homogeniaztion and the strict homogeniaztion.(2)On the premise of fit theory,used four plane segmentation rules which include translation,rotation,reflection and slide reflection.The whole wall segment of the masonry methods is used to split the dot matrix,and the integral wall slice is divided into RVE unit that can generate the fit form.(3)Selected the most reasonable equivalent parameters of materials and established mechanical model for the representative volume unit.Adapted the finite element software of ABAQUS,take the advantage of separate model to simulation and analysis the RVE's mechanical property,gain the stress-strain relation?the extreme strength and extreme strain in different direction,and then,according to the orthogonal anisotropic elastic matrix to figure out the equivalent parameters.It can validate the anisotropy performance of the masonry structure(4)To applied the equivalent parameters into the existing test,emulated the specimen's compressive strength,summarized it's bearing capacity?stress and strain relationship and it's modulus of elasticity.Although the simulation value is different from the test value,it's in terms of acceptable range.On the whole,using the strict homogenization method to deal with masonry structure can reflect the mechanical properties of the specimen.