Geodesic
Estimation of the effective Young’s modulus for open cell porous titanium based on $3D$ Gibson - Ashby cell array
Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2022), pp. 75-82

Voir la notice de l'article provenant de la source Math-Net.Ru

The objective of study is to determine the effective Young’s modulus of open cell porous titanium based on the Gibson – Ashby model. Two novel models are proposed in the form of $3D$ Gibson – Ashby cell arrays with two variants for connecting vertical and horizontal beams – hinged support and rigid clamping. Calculations made on the basis of the developed models are compared with results of known models and literature data. It is proved the assumption that at high porosity, the deformation of samples occurs to a greater extent due to the deflection of horizontal beams, and with a decrease in porosity, the compressive deformation of vertical beams is playing an important role.
Keywords: Gibson – Ashby model; porous titanium; open pores; effective Young’s modulus. 
@article{BGUMI_2022_1_a7,
     author = {A. V. Nikitin and G. I. Mikhasev},
     title = {Estimation of the effective {Young{\textquoteright}s} modulus for open cell porous titanium based on $3D$ {Gibson} - {Ashby} cell array},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {75--82},
     publisher = {mathdoc},
     volume = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2022_1_a7/}
}
TY  - JOUR
AU  - A. V. Nikitin
AU  - G. I. Mikhasev
TI  - Estimation of the effective Young’s modulus for open cell porous titanium based on $3D$ Gibson - Ashby cell array
JO  - Journal of the Belarusian State University. Mathematics and Informatics
PY  - 2022
SP  - 75
EP  - 82
VL  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BGUMI_2022_1_a7/
LA  - ru
ID  - BGUMI_2022_1_a7
ER  - 
%0 Journal Article
%A A. V. Nikitin
%A G. I. Mikhasev
%T Estimation of the effective Young’s modulus for open cell porous titanium based on $3D$ Gibson - Ashby cell array
%J Journal of the Belarusian State University. Mathematics and Informatics
%D 2022
%P 75-82
%V 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BGUMI_2022_1_a7/
%G ru
%F BGUMI_2022_1_a7
A. V. Nikitin; G. I. Mikhasev. Estimation of the effective Young’s modulus for open cell porous titanium based on $3D$ Gibson - Ashby cell array. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2022), pp. 75-82. http://geodesic.mathdoc.fr/item/BGUMI_2022_1_a7/