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<p>In this study, the size-dependent static tensile and axial vibrational responses of piezoelectric semiconductor nanobars are investigated using strain-driven and stress-driven dual-phase local/nonlocal integral constitutive models. A linearized one-dimensional phenomenological framework for piezoelectric semiconductors is employed to establish the governing equations. The two-phase local/nonlocal integral formulation is implemented, which is subsequently transformed into differential formulations with corresponding constitutive constraints. A few dimensionless variables are introduced to streamline mathematical derivations. The general differential quadrature method is utilized to obtain the numerical solutions. The influence of nonlocal parameters on the static extension displacement, electric potential, and undamped natural frequencies of piezoelectric semiconductor nanobar are investigated under different boundary and loading conditions. Critical comparisons between strain-driven and stress-driven modeling paradigms are highlighted to elucidate their distinct predictive capabilities in nanoscale electromechanical coupling phenomena.</p>

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Static extension and vibration analysis of piezoelectric semiconductor nanobars based on two-phase local/nonlocal integral models

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • Huidiao Song,
  • Hai Qing

摘要

In this study, the size-dependent static tensile and axial vibrational responses of piezoelectric semiconductor nanobars are investigated using strain-driven and stress-driven dual-phase local/nonlocal integral constitutive models. A linearized one-dimensional phenomenological framework for piezoelectric semiconductors is employed to establish the governing equations. The two-phase local/nonlocal integral formulation is implemented, which is subsequently transformed into differential formulations with corresponding constitutive constraints. A few dimensionless variables are introduced to streamline mathematical derivations. The general differential quadrature method is utilized to obtain the numerical solutions. The influence of nonlocal parameters on the static extension displacement, electric potential, and undamped natural frequencies of piezoelectric semiconductor nanobar are investigated under different boundary and loading conditions. Critical comparisons between strain-driven and stress-driven modeling paradigms are highlighted to elucidate their distinct predictive capabilities in nanoscale electromechanical coupling phenomena.