Springer Iranian Journal of Science 2731-8095 39 4 2015 12 15 Bending and buckling of functionally graded Poisson's ratio nanoscale beam based on nonlocal theory 559 565 3417 10.22099/ijsts.2015.3417 EN Guan-sheng Yin School of Science, Chang’an University, Xi’an, China, 710064 Qing-tian Deng School of Science, Chang’an University, Xi’an, China, 710064 Zhi-chun Yang School of Aeronautics, Northwestern Polytechnical University, Xi’an, China, 710072 Journal Article 2014 09 06 <span style="font-family: 'Times New Roman','serif'; font-size: 9pt; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-weight: bold;">Functionally graded Poisson’s ratio structures have been developed for critical protection. In this paper, the static bending and buckling of FGPR nanoscale beam are studied based on the nonlocal Timoshenko beam model, in which both Young’s modulus and Poisson’s ratio are assumed to vary continuously in the thickness direction. By utilizing total potential energy principle, equilibrium equations are derived. In the numerical results, beam models with different material properties are introduced, and the effects of the nonlocal parameter, aspect ratio and the Poisson’s ratio on the deflection and buckling are discussed.

https://ijsts.shirazu.ac.ir/article_3417_b40ab6e72ba41fcafd099ffb912b6d83.pdf