Abstract: Damage mechanics theories are focused on providing phenomenological models to represent several scales of flaws on the mechanical behavior of materials and structures, bridging the gap between the fields of continuum inelastic deformations and classical fracture mechanics with growing macroscopic cracks. Damage mechanics theories have several applications in materials science and structural analysis. Nowadays, continuum damage mechanics is well-established to model several nonlinear behaviors of structures and materials, where nonlocal approaches and other regularization techniques can be employed to avoid ill-posed problems. Recently, lumped damage mechanics was developed to analyze frame structures by the incorporation of internal damage variables into classical plastic hinges, with damage evolution depending on thermodynamic forces associated to damage. Lately, lumped damage mechanics was extended to continuum media. Both continuum and lumped damage approaches have been applied in structural and material modeling with accurate results. Therefore, this mini-symposium proposal deals with the use of continuum and lumped damage models for engineering structures and materials. Contributions and developments in the areas of continuum and lumped damage approaches within micro and/or multiscale fields are welcome.