Numerische Simulation des Knickverhaltens von Mauerwerk

Numerical simulation of the buckling behaviour of masonry. The paper presents a numerical approach for the simulation and analysis of the buckling behaviour of masonry. The assumed parabolic stress‐strain function allows a realistic modelling of the composite material behaviour in compression and bending. The equilibrium is formulated in the deformed state and takes into consideration the effect of the deflections on the bearing capacity. Due to the physical nonlinearity, the stress limitations and the system modification when cracking in tension occurs, the bending stiffness becomes under loading a function of the stress state, thus leading to variable coefficients of the governing differential equation. The system solution is obtained within the frame of an iterative numeric procedure in terms of the transfer matrix method, based on the discretization of the structure into finite segments and the piecewise linearization of its parameters.