Reliable evaluation of mechanical response in a porous solid might be challenging without any simplified assumptions. Peridynamics (PD) perform very well on a medium including pores owing to its definition, which is valid for entire domain regardless of any existed discontinuities. Accordingly, porosity is defined by randomly removing the PD interactions between the material points. As wave propagation in a solid body can be regarded as an indication of the material properties, wave propagation in porous media under an impact loading is studied first and average wave speeds are compared with the available reference results. A good agreement between the present and the reference results is achieved. Then, micro-cracks are introduced into porous media to investigate their influence on the elastic wave propagation. The micro-cracks are considered in both random and regular patterns by varying the number of cracks and their orientation. As the porosity ratio increases, it is observed that wave propagation speed drops considerably as expected. As for the cases with micro-cracks, the average wave speeds are not influenced significantly in random micro-crack configurations, while regular micro-cracks play a noticeable role in absorbing wave propagation depending on their orientation as well as the number of crack arrays in y-direction.

This study focuses on the prediction of progressive brittle damages on corroded stiffened structures by using peridynamics. First, deformations of a stiffened structure subjected to uniform static pressure are investigated, and the peridynamics results are verified with the results from the finite element analysis. Second, progressive brittle damages on a corroded plate are predicted, and the effects of the corrosion on the crack path as well as bending strength of the plate are investigated. Next, progressive brittle damages on a stiffened structure with different corrosion types: localised and shadow corrosions, subjected to tension are predicted. The effects of different corrosion types on crack propagation and the strength of the structure are also analysed. Finally, progressive brittle damages on a stiffened structure subjected to uniform pressure are predicted.