Porous materials have a wide field of application in the biomedical, chemical, pharmaceutical, and automotive industries, among others. In many situations, these materials suffer efforts that can compromise their integrity. To prevent this from happening, a powerful tool, named limit analysis, can be used for the determination of a safe condition of operation for parts made of porous materials.
... [Show full abstract] However, there are few studies available that relate the design of parts made of porous material with limit analysis. In this paper, an approach for solving limit analysis problems applied to porous materials is presented. Statical and mixed variational principles are proposed for the limit analysis of porous materials, and a discrete mixed variational principle is presented. Two compaction functions, which relate the relative density to the hydrostatic pressure, are tested: the Helle’s and Heckel’s expressions. The finite element method is used for the numerical approximation of the discrete limit analysis formulation. Some numerical examples are presented, and the obtained results are close to the numerical and analytical solutions previously published. Among the tested compaction functions, Helle’s expression showed the highest compaction.