An orthotropic damage model with internal sliding and friction for masonry-like material

Quasi-brittle materials like masonry exhibit mechanical properties and develop nonlinearities that are mainly driven by their joints. In the present work, a Continuum Damage Mechanics point of view is considered to describe the macroscopic behavior of masonry. Based on damage models developed for ceramic matrix composite materials, a fixed directional damage approach is proposed. From this formulation, unilateral effect, as well as internal sliding and friction coupled with damage, are introduced. Numerical examples of the response of the model for different loading cases involving cyclic and non-proportional loadings are carried out and compared to experimental results.