Isogeometric free vibration of honeycomb sandwich microplates with the graphene nanoplatelets reinforcement face sheets

We are happy to announce that Dr. Thai Hoang Chien and colleagues recently published their work entitled “Isogeometric free vibration of honeycomb sandwich microplates with the graphene nanoplatelets reinforcement face sheets" in the Engineering Structures

Abstract:

Classical continuum mechanics theory falls short in accurately capturing the mechanical behaviors of microstructures as it overlooks size effects. Conversely, the modified strain gradient theory (MSGT) is recognized as a highly accurate approach, given its capacity to encompass three essential length scale parameters (LSPs). The auxetic honeycomb core exhibits a negative Poisson's ratio that results in lateral expansion when compressed axially, whereas, graphene nanoplatelets enhance the mechanical characteristics of sandwich microplates by virtue of their remarkable strength and lightweight nature. So, in this research, an innovative computational method is introduced to investigate size-dependent vibration behaviors of sandwich microplates with an auxetic honeycomb core and graphene nanoplatelets reinforcement face sheets. Employing the higher-order shear deformation theory (HSDT) and MSGT combined with the Hamilton principle, the governing equations of the auxetic honeycomb sandwich microplate are derived. The displacement fields and higher-order strains in MSGT models are approximated using the higher-order derivatives and continuous basis functions of the isogeometric approach. In order to ascertain the accuracy and advantages of the proposed model, a comprehensive comparison has been carried out between the present results and those referenced in the existing literature. Numerous numerical examples have been conducted to study the influence of the LSPs, geometrical parameters of auxetic cells and GNPs reinforcement on the natural frequencies of the sandwich microplate.