NURBS isogeometric-based nonlinear flexural analysis of quasi-3D surface elastic porous nanoplates

Abstract

In this research work, by taking the geometrical nonlinearity together with the surface elastic-based types of size dependency, the nonlinear flexural characteristics of quasi-3D porous nanoplates in the presence and absence of a central cutout are examined via an efficient numerical strategy. Regarding to this issue, the non-uniform rational B-spline (NURBS) are put to the isogeometric methodology in order to satisfy the necessary requirements associated with the C−1-continuity. The constructed surface elastic-based plate model contains sinusoidal distribution for the shear and normal deflections by incorporating only four variables to reduce the computational cost significantly. The porosity dependency is taken into account based upon various patterns of porosity dispersion through the nanoplate thickness. The surface elastic-based nonlinear flexural responses are achieved for complete and incomplete nanoplates having central cutouts with different edge supports. It is revealed that the gap between nonlinear bending curves associated with various patterns of porosity dispersion is a bit higher for a nanoplate with lower plate thickness in which the role of surface elasticity is more significant due to a higher surface to volume ratio.

KEYWORDS:

• Surface stress elasticity
• quasi-3D porosity
• isogeometric finite element method
• nonlinear bending
• inhomogeneity

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This study was supported by the key scientific research project of colleges and universities of Henan Provincial Department of Education (No. 20B460016, 21B460020).