Abstract
The homogenization problem is described for a nanoporous material having a regular structure of Gibson-Ashby cells. The nanoscale factor is taken into account according to the Gurtin-Murdoch model of surface stresses. The homogenization problems were solved numerically by the finite element method using the ANSYS package. Technologies for creating representative volumes consisting of thin and thick Gibson-Ashby cells are presented. The surface effect is modeled by shell elastic elements with the membrane stress option. Numerical calculation results of effective moduli of a nanoporous material depending on porosity and surface moduli are described.
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Acknowledgement
This research was supported by the Russian Foundation for Basic Research (project No. 20-31-90057).
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Kornievsky, A., Nasedkin, A. (2023). Finite Element Study of Effective Moduli of Nanoporous Materials Composed of Regular Gibson-Ashby Cells with Surface Stresses. In: Parinov, I.A., Chang, SH., Soloviev, A.N. (eds) Physics and Mechanics of New Materials and Their Applications. Springer Proceedings in Materials, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-031-21572-8_22
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DOI: https://doi.org/10.1007/978-3-031-21572-8_22
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