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Towards Understanding Why the Thin Membrane Transducer Deforms: Surface Stress-Induced Buckling

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Abstract

This study is directed towards a comprehensive exploration on the deformation mechanism of the thin membrane transducer (TMT) caused by surface stress variation. We stress that the biomolecular interaction has changed the magnitude of the surface stress; and when the surface stress exceeds a critical value the TMT will buckle and deform. Based upon Gurtin’s theory of surface elasticity and principle of finite deformation, we abstract the TMT as a nanobeam with two clamped ends, and the close-formed governing equation set is derived accordingly. A computer code via the shooting method is developed to solve the presented two-point boundary value problem. In succession, the nanobeam deflection and critical parameters for buckling are quantitatively discussed. This investigation lays the theoretical foundation of TMTs; and it is also beneficial to gain deep insight into characterizing mechanical properties of nanomaterials and engineering nano-devices.

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Authors and Affiliations

  1. Department of Engineering Mechanics, College of Pipeline & Civil Engineering, China University of Petroleum (East China), 266580, Qingdao, China

    Jianlin Liu, Jing Sun & Pingcheng Zuo

Authors
  1. Jianlin Liu
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  2. Jing Sun
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  3. Pingcheng Zuo
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Correspondence to Jianlin Liu.

Additional information

Project supported by National Natural Science Foundation of China (Nos. 11272357 and 11320003) and the Natural Science Fund for Distinguished Young Scholar of Shandong Province (No. JQ201302).

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Liu, J., Sun, J. & Zuo, P. Towards Understanding Why the Thin Membrane Transducer Deforms: Surface Stress-Induced Buckling. Acta Mech. Solida Sin. 29, 192–199 (2016). https://doi.org/10.1016/S0894-9166(16)30107-0

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30107-0

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