Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis

By Phuc Phung-Van, Chien H. Thai, Hung Nguyen-Xuan, M. Abdel Wahab. Composites Part B: Engineering, 2019

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Abstract The study using numerical methods on porous functionally graded (FG) nanoplates is still somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of FG nanoplates using isogeometric finite element approach. In order to capture the small size effects, the Eringen's nonlocal elasticity based on higher order shear deformation theory (HSDT) are used to model the porous FG nanoplates. Two distributions of porosities inside FG materials are incorporated and defined via a modified rule of mixture. The nonlinear transient nonlocal governing equations under transverse dynamic loads are formulated by using the von Karman strains and are solved by Newmark time integration scheme to obtain geometrically nonlinear responses. It is indicated that nonlinear transient deflections of the porous FG nanoplate are significantly influenced by material composition, porosity, nonlocal parameters, volume fraction exponent, porosity distributions, geometrical parameters and dynamic load characteristics.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c103f31310817a66adbd74e36ff948f4858682e8

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates (2019, methodology): “Moreover, IGA [45] has been assigned to achieve several size-dependent numerical solutions for micro- and nano-plates [54-60].”