Abstract
A nonlinear finite element method with eight-noded isoparametric quadrilateral elements is used to predict the behavior of unreinforced masonry structures. The disturbed state concept (DSC) with modified hierarchical single yield surface (HISS) plasticity which is called DSC/HISS-CT is used to characterize the constitutive behavior of masonry in both compression and tension. The model uses two HISS yield surfaces for compressive and tensile behavior. The DSC model allows for the characterization of non-associative behavior through the use of disturbance. It computes microcrack-ing during deformation, which eventually leads to fracture and failure. the critical disturbance, Dc, identifies fracture and failure. In the DSC model the DSC model was validated at two levels: (1) specimen and (2) practical boundary value problem. At the specimen level, predictions are obtained by integrating the incremental constitutive relations. The pro-posed constitutive model is verified by comparing numerical predictions with results obtained from test data; the compari-sons are found to be highly satisfactory. A new explicit formula is also presented to estimate the strength of unreinforced masonry structures.
Highlights
Masonry buildings are constructed in many parts of the world where earthquakes occur
The disturbed state concept (DSC)/hierarchical single yield surface (HISS)-CT parameters are determined based on Eqs. 7(a) to 7(c) for the compressive behavior of masonry prisms and Eqs. 7(d) and 7(e) for the tensile behavior
A nonlinear finite element method with eight-noded isoparametric quadrilateral elements for combined masonry blocks and mortar joints was used to predict the behavior of unreinforced masonry structures
Summary
Masonry buildings are constructed in many parts of the world where earthquakes occur. An approach for analysis of unreinforced masonry buildings is the macro-modeling of masonry as a composite material. The compressive strength of a masonry unit is an important parameter in the analysis of unreinforced masonry buildings using the macro-element method. A finite element analysis conducted for a single-story, one-room masonry building, with different aspect ratios and with different positions of wall openings, subjected to a seismic force with varying direction [20]. It has been used to model a wide range of materials such as clays, sands, concrete, asphalt concrete, ceramic, metals, alloys and silicon, as well as interfaces and joints [31] It has been implemented in nonlinear finite element procedures to solve a wide range of engineering problems including two- and three-dimensional [31,32,33] and cyclic loading [31, 34, 35] problems. The new feature is the use of the HISS yield function for yield in both compression and tension
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