Abstract
There are many historic masonry structures which collapsed due to deformation and/or failure of their foundation ground, and then, it is demanded to investigate the deterioration mechanisms and the rational restoration methods based on the geotechnical engineering. In this paper, NMM-DDA (coupled Numerical Manifold Method and Discontinuous Deformation Analysis), one of the discontinuum based numerical methods, was enhanced and a method to simulate the deformations of the composite structures of soils and discontinuous masonry stones was developed. Firstly, formulation of the elasto-plastic NMM-DDA which incorporates elasto-plastic constitutive laws into incremental form of equation of motion was shown. Then, as a method to avoid volumetric locking in conventional NMM-DDA, which adopts constant strain triangle element, application scheme of node-based uniform strain element was also described. Finally, developed method was applied to some fundamental boundary value problems such as beam bending problem and bearing capacity problems, and the applicability of the new method was examined by comparing the simulation results with theoretical solutions.
