Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 4 3 2014 09 23 Buckling of an embedded piezoelectric nanobeam based on strain gradient and Reddy beam theories Buckling of an embedded piezoelectric nanobeam based on strain gradient and Reddy beam theories 23 33 337 10.22044/jsfm.2014.337 FA Ali Ghorbanpour Arani University of Kashan Mohammad Abdollahian University of Kashan Reza Kolahchi University of Kashan Journal Article 2013 06 16 Electro-thermo-mechanical transverse buckling of an embedded piezoelectric nanobeam (PNB) is investigated in this article based on Reddy beam theory (RBT). Surrounded elastic medium is simulated by the Pasternak foundation. The small scale effects are taken into account using strain gradient theory (SGT). In order to control the vibration characteristics, the PNB is subjected to an applied voltage in the thickness direction and a uniform temperature change. The governing equations are derived based on the energy method and Hamilton's principle which are then solved by an analytical method to obtain the critical buckling load. The effects of temperature change, external electric voltage, the material length scale parameters and elastic medium on the buckling load ratio of the PNB are studied in detail. Moreover, a comparison between modified couple stress theory and strain gradient theory is carried out. The presented results indicate that increasing the external applied voltage increases the buckling load ratio of the piezoelectric nanobeam. Electro-thermo-mechanical transverse buckling of an embedded piezoelectric nanobeam (PNB) is investigated in this article based on Reddy beam theory (RBT). Surrounded elastic medium is simulated by the Pasternak foundation. The small scale effects are taken into account using strain gradient theory (SGT). In order to control the vibration characteristics, the PNB is subjected to an applied voltage in the thickness direction and a uniform temperature change. The governing equations are derived based on the energy method and Hamilton's principle which are then solved by an analytical method to obtain the critical buckling load. The effects of temperature change, external electric voltage, the material length scale parameters and elastic medium on the buckling load ratio of the PNB are studied in detail. Moreover, a comparison between modified couple stress theory and strain gradient theory is carried out. The presented results indicate that increasing the external applied voltage increases the buckling load ratio of the piezoelectric nanobeam. https://jsfm.shahroodut.ac.ir/article_337_34c1db029866572804f4a2acd8752448.pdf