Effects of surface and interface energies on the bending behavior of nanoscale multilayered beams |
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| Institution: | 1. TU Wien, Institute of Sensor and Actuator Systems, Floragasse 7, 1040 Vienna, Austria;2. Happy Plating GmbH, Viktor-Kaplan-Straße 2C, 2700 Wiener Neustadt, Austria;3. Friedrich-Alexander-University Erlangen-Nuremberg, Institute for Electronics Engineering, Cauerstr. 9, D-91058 Erlangen, Germany;1. Department of Mechanical Engineering, S.V. National Institute of Technology, Surat 395007, India;2. Department of Mechanical Engineering, Dr.D.Y.Patil School of Engineering and Technology, Lohgaon, Pune, India;3. Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur 721302, India |
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| Abstract: | A modified continuum model of the nanoscale multilayered beams is established by incorporating surface and interface energies. Through the principle of minimum potential energy, the governing equations and boundary conditions are obtained. The closed-form solutions are presented and the overall Young's modulus of the beam is studied. The surface and interface energies are found to have a major influence on the bending behavior and the overall Young's modulus of the beam. The effect of surface and interface energies on the overall Young's modulus depends on the boundary condition of the beam, the values of the surface/interface elasticity constants and the initial surface/interface energy of the system. The results can be used to guide the determinations of the surface/interface elasticity properties and the initial surface/interface energies of the nanoscale multilayered materials through nanoscale beam bending experiments. |
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| Keywords: | Surface energy Interface energy Nanoscale multilayer Bending behavior |
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