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Modeling of the Effect of Microscale Morphological Parameters on the Deformation Behavior of Porous Materials with a Metal Matrix


This paper presents results of numerical investigation of the specifics of elastoplastic deformation and damage accumulation in representative volume elements (RVEs) of open-cell and closed-cell porous metal materials under tensile and compressive loads. The Johnson–Cook model was used to describe the elastoplastic behavior and fracture of the aluminum matrix material. Fracture propagation in RVEs of porous media needs to be modeled with explicit consideration for morphological parameters of the internal structure. This feature can be used to form structures with tailored mechanical response using recent advances in additive manufacturing technologies. These technologies, also referred to as 3D printing, provide a free choice of topology by using predetermined digital models that can be optimized before being implemented as real objects. This leads to a task of estimation of the effect of controlled topology on the mechanical behavior of the designed porous structures. The obtained results demonstrate the effect of variation of morphological properties on the elastoplastic behavior and fracture of bicontinuous metal structures under tensile and compressive loads.

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The authors would like to take an opportunity to congratulate Professor Siegfried Schmauder on his anniversary, with wishes of prosperity and successful continuation of his inspiring work.


The research was performed at Perm National Research Polytechnic University at the support of the Russian Science Foundation (project No. 20-79-00216).

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Correspondence to M. A. Tashkinov.

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Tashkinov, M.A., Shalimov, A.S. Modeling of the Effect of Microscale Morphological Parameters on the Deformation Behavior of Porous Materials with a Metal Matrix. Phys Mesomech 24, 618–624 (2021).

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  • porous media
  • fracture
  • plasticity
  • Johnson–Cook law
  • microstructure
  • morphology
  • finite element analysis