Formulation, Implementation, and Validation of a 3D Damage-Plasticity Cohesive-Interface Model with Multiple Yield Surfaces for Cyclic Modeling of Mortar Joints

The mechanical behavior of mortar joints can be described by means of the cohesive interface element in the mesoscale modeling of masonry structures. In this paper, a novel three-dimensional (3D) constitutive model for the cohesive interface element under cyclic loading is presented. The proposed constitutive model is formulated in the damage-plasticity theoretical framework with the following unique features: (1) two smooth hyperbolic yield surfaces, capable of capturing various failure modes of mortar joints; (2) two damage scalars Dt and Dc to characterize the stiffness degradation; (3) two damage functions ξt(Dt) and ξc(Dc) to describe the strength softening; and (4) an unassociated flow rule to capture the dilatancy behavior. The proposed constitutive model is implemented in the general-purpose finite-element package Abaqus using the user subroutine UMAT. The developed model was validated at the masonry-component level using a mortar-jointed specimen under indirect cyclic tensile loading and three masonry couplets under compressive-shear loading, and then at the structural level using two unreinforced masonry walls characterized by two distinct failure modes. The validation results show that the developed constitutive model is capable of modeling mortar joints and masonry structures with good performance.