A study on the S-version FEM for a dynamic damage model

A mesh superposition technique is developed based on the superimposed version FEM (s-version FEM) for dynamic analysis of damage to structures. In the proposed technique, the concerned area is discretized as a rough global mesh and is overlaid into a fine local mesh of the proposed s-version FEM. To describe the small-scale stress wave, the governing equations for the internal part and boundary of the local region are proposed. The damage evolving constitutive model is substituted into these governing equations to describe the distributions of damage on a small scale. L-shape domain problem, modal, time history, and damage examples are given for the validations. The results show that the proposed s-version FEM can refine a global mesh and accurately describe the damage, stress, and deformation of a concerned area of structure on the small scale. The proposed s-version FEM can be applied to not only a dynamic problem but also a damage analysis of structures.