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Mathematical Modelling of Stress-Strain Curves of Masonry Materials

Abstract Stress-strain relationship of masonry material is essential to predict strength and deformation of masonry structures in analytical modelling. This relationship is important when the masonry system consists of different material properties. In this study, compression testing is conducted, and the best fit equation of experimental data for masonry block and grout is employed. Numerical technique is proposed to obtain proper material parameters for both ascending and descending parts. The proposed expression is capable of simulating the stress-strain relation for different masonry materials, and can be incorporated efficiently into the biaxial stress model. To examine its ability to simulate the stress-strain behaviour in masonry modelling, the proposed formula has been incorporated into a finite element program for masonry analysis using a micro-modelling approach. Accurate simulation for the compression test results is attained by the proposed equation and perfect modelling has been achieved for the masonry system.