  Quasi-brittle materials such as concrete suffer from cracks during their life
cycle, requiring great cost for conventional maintenance or replacement. In the
last decades, self-healing materials are developed which are capable of filling
and healing the cracks and regaining part of the stiffness and strength
automatically after getting damaged, bringing the possibility of
maintenance-free materials and structures.
  In this paper, a time dependent softening-healing law for self-healing
quasi-brittle materials is presented by introducing limited material parameters
with clear physical background. Strong Discontinuity embedded Approach (SDA) is
adopted for evaluating the reliability of the model. In the numerical studies,
values of healing parameters are firstly obtained by back analysis of
experimental results of self-healing beams. Then numerical models regarding
concrete members and structures built with self-healing and non-healing
materials are simulated and compared for showing the capability of the
self-healing material.
