Elasto-plastic analysis of crack in metallic foams

To determine the solutions of the well-known problem of a finite width strip with single edge crack, some results on elasto-plastic fracture analysis for metallic foams are reported. Meanwhile, in order to discuss and put an insight into the nonlinear fracture analysis, the Dugdale model for plastic deformation of this configuration for metallic foams is recommended and solved. Combining the asymptotic solution with the Dugdale model and elastic solution, the stress field in the plastic zone and the size of the plastic zone are expressed as analytical forms. Based on Williams expansion method, the estimate of the scale factor is also completed and analyzed. In view of these analytical solutions, the results show the scale factor is a useful parameter for the fracture theory of metallic foams.