porous metals, three–dimensional similarity principle, finite element method, compression, strain diagram.

Using the principle of three–dimensional similarity of the stress–strain state in structural elements of the construction, a numerical simulation of static compression of specimen made of porous aluminum was performed. The principle allows us to take into account the heterogeneity of the distribution of stresses and deformations caused by the presence of pores, and to vary the number of structural elements (representative volumes) while maintaining the porosity coefficient and the characteristic size of the specimen. The numerical and experimental method was used to identify the stress–strain diagram of the carcass material. Based on the comparison of numerical and experimental data on the compression of porous specimen, the effectiveness of applying the three–dimensional similarity principle for this class of problems is estimated.

Bazhenov, Valentin Georgievich, Dr. Sci. Phys. & Math., Professor,Chief Researcher, Doctor of Physical and Mathematical Sciences, Professor, Research Institute of Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Russia,

Zhestkov, Maksim Nikolaevich, Junior Researcher, Research Institute of Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Russia.