Nonlocal nonlinear analysis of functionally graded piezoelectric porous nanoplates

IF 2.7 3区材料科学 Q2 ENGINEERING, MECHANICAL

International Journal of Mechanics and Materials in Design Pub Date : 2024-01-29 DOI:10.1007/s10999-023-09701-5

P. Phung-Van, Lieu B. Nguyen, P. T. Hung, H. Nguyen-Xuan, Chien H. Thai

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Abstract

This study presents a novel and efficient approach for analyzing the nonlinear behavior of nanoscale plates composed of functionally graded (FG) piezoelectric porous materials. Our approach, which focuses on small-scale structures, demonstrates remarkable efficiency and represents the first of its kind. A generalized model for FG piezoelectric nanoplates with porosities satisfies assumptions of the nonlocal Eringen’s theory based on von Kármán strains. The porous distributions are modeled with even and uneven functions. According to Maxwell’s equations, an electric field is approximated by trigonometric and linear functions. A weak form of the piezoelectric nanoplate with porosity is derived via the principle of extended virtual displacement. Isogeometric approach, which provides accurate results, is easy to implement. The influence of porosity coefficient, small-scale parameter, power law exponent, external electrical voltage and geometric parameter on the nonlinear displacement of the piezoelectric porous nanoplate are examined. These results can provide benchmark solutions for the future numerical investigations of electroelastic nanoplates.

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功能分级压电多孔纳米板的非局部非线性分析

本研究提出了一种新颖高效的方法，用于分析由功能梯度（FG）压电多孔材料组成的纳米级板的非线性行为。我们的方法侧重于小尺度结构，具有显著的效率，在同类方法中尚属首创。具有多孔性的 FG 压电纳米板的广义模型满足基于 von Kármán 应变的非局部 Eringen 理论的假设。多孔分布用均匀和不均匀函数建模。根据麦克斯韦方程，电场用三角函数和线性函数近似。通过扩展虚拟位移原理推导出带有多孔性的压电纳米板的弱形式。等几何方法不仅能提供精确的结果，而且易于实现。研究了多孔系数、小尺度参数、幂律指数、外部电压和几何参数对压电多孔纳米板非线性位移的影响。这些结果可为未来的电弹性纳米板数值研究提供基准解。

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来源期刊

International Journal of Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

6.00

自引率

5.40%

发文量

审稿时长

>12 weeks

期刊介绍： It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design. Analytical synopsis of contents: The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design: Intelligent Design: Nano-engineering and Nano-science in Design; Smart Materials and Adaptive Structures in Design; Mechanism(s) Design; Design against Failure; Design for Manufacturing; Design of Ultralight Structures; Design for a Clean Environment; Impact and Crashworthiness; Microelectronic Packaging Systems. Advanced Materials in Design: Newly Engineered Materials; Smart Materials and Adaptive Structures; Micromechanical Modelling of Composites; Damage Characterisation of Advanced/Traditional Materials; Alternative Use of Traditional Materials in Design; Functionally Graded Materials; Failure Analysis: Fatigue and Fracture; Multiscale Modelling Concepts and Methodology; Interfaces, interfacial properties and characterisation. Design Analysis and Optimisation: Shape and Topology Optimisation; Structural Optimisation; Optimisation Algorithms in Design; Nonlinear Mechanics in Design; Novel Numerical Tools in Design; Geometric Modelling and CAD Tools in Design; FEM, BEM and Hybrid Methods; Integrated Computer Aided Design; Computational Failure Analysis; Coupled Thermo-Electro-Mechanical Designs.