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A size-dependent and nonlocal nonlinear transient dynamic analysis of porous composite microplates reinforced by graphene platelets

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Abstract

In this article, a size-dependent analysis is conducted for the geometrically nonlinear transient vibration of a porous microplate in the presence of nonlocal and modified stress tensors, solved by the isogeometric analysis (IGA) method. Pursuing the primary objective, the effective characteristics of porous graphene platelet material (GPL) from uniform and non-uniform porosity distributions are estimated by utilizing the Halpin–Tsai model. The governing equations and the integrated nonlocal modified couple stress theory for nonlinear transient vibration are derived based on uniform rational B-spline. Furthermore, the efficient discretization technique is capable of meeting C1 continuity requirements. It is demonstrated that the theory, introducing a combination of two tensors into the higher-order shear deformation theory, can accurately capture the size effects on the transient dynamic responses. The magnitude of transient displacements is diminished, and the ability of the nano-/microplate to withstand impulse loads increases as the pores concentrate on the center of the neutral axis regarding the non-uniform porosity distribution. The enhancement of the nonlinear transient responses is attributed to the increase in modified couple stress, which generates greater structural rigidity than that reduced by nonlocality. Finally, the new assessment results are detailed by analyzing the size-dependent parameter, nonlocal variation, porosity coefficient, and the different porosity distribution schemes that aim to decide the responses of the GPLs’ microstructure.

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2021.75.

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  1. Applied Computational Civil and Structural Engineering Research Group, Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Vuong Nguyen Van Do

  2. Department of Civil and Environmental Engineering, Daelim University College, 29, Imgok-ro, Dongan-ku, Anyang-si, Gyeonggi-do, 13916, Republic of Korea

    Chin-Hyung Lee

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  1. Vuong Nguyen Van Do
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Van Do, V.N., Lee, CH. A size-dependent and nonlocal nonlinear transient dynamic analysis of porous composite microplates reinforced by graphene platelets. Acta Mech 235, 2979–3003 (2024). https://doi.org/10.1007/s00707-024-03870-w

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