Geodesic
Computer modeling deformation of porous elastoplastic materials and identification their characteristics using the principle of three-dimensional similarity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 6, pp. 746-755

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It is proposed to numerically model large deformations of porous specimens, using the 3D-similarity principle in structural elements, which makes it possible to account for the inhomogeneity of the stress-strain state due to the presence of pores and allows one to vary the number of representative volumes without changing porosity values and dimensions of the specimens. A methodology for determining true deformation diagrams of materials, using the results of compression tests, has been developed. The efficiency of using the 3D-similarity principle is demonstrated by comparing the numerical and experimental results for the example analyzing compression of porous specimens of an aluminum alloy with free lateral surfaces and fixed in a rigid cartridge.
Keywords: porous metal, diagramm of deformation, deformation, 3D-similarity principle, structural element. 
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     title = {Computer modeling deformation of porous elastoplastic materials and identification their characteristics using the principle of three-dimensional similarity},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_6_a7/}
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Valentin G. Bazhenov; Maxim N. Zhestkov. Computer modeling deformation of porous elastoplastic materials and identification their characteristics using the principle of three-dimensional similarity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 6, pp. 746-755. http://geodesic.mathdoc.fr/item/JSFU_2021_14_6_a7/