article · International Journal of Smart and Nano Materials
A theoretical and numerical investigation evaluates the mechanical behaviour of a three-layer sandwich microbeam resting on a Pasternak foundation under an applied electric potential. The microbeam comprises homogeneous piezoelectric face-sheets and a core whose material properties vary across its thickness. Formulated through strain gradient theory, Euler-Bernoulli beam theory, and Hamilton's principle, the governing equations capture free vibration, wave propagation, and bending responses. Numerical evaluations assess the effects of foundation parameters, material length scales, core inhomogeneity, and electrical voltage. The results show that the influence of electric potential distributed along the axial direction is very minor compared to the significant effect of electric potential along the transverse direction where initial voltage is applied.
Understanding how miniature layered structures react to electrical charges and mechanical support is essential for predicting the performance of micro-scale devices. By quantifying how material variations and electric fields alter structural stability and vibration, this analytical framework provides fundamental insights into the physical mechanics of smart composite materials operating at microscopic length scales.
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In this paper, free vibration, wave propagation, and bending analyses of a sandwich microbeam integrated with piezoelectric face-sheets resting on Pasternak foundation under electric potential are presented based on the strain gradient theory and Euler–Bernoulli beam theory. The material properties of core are assumed variable along the thickness direction and piezoelectric face-sheets are assumed homogeneous piezoelectric materials. A two-dimensional electric potential distribution along the axial and transverse direction is applied on the face-sheets of microbeam. Hamilton principal is used to derive governing differential equations of motion. Three behaviors of sandwich microbeam including free vibration, wave propagation, and bending analyses are studied in this paper. Some numerical results are presented to capture the effect of important parameters of the problem such as in-homogeneous index, applied voltage, parameters of foundation, and material length scales. The numerical results indicate that the effect of electric potential along the axial direction is very small rather than one along the transverse direction where initial voltage is applied.
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DOI: 10.1080/19475411.2017.1292967
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