<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper deals with application of the finite element method in modelling and simulation of nanostructures. The finite element model is based on beam elements with stiffness properties gained from the quantum mechanics and nonlinear spring elements with force-displacement relation are gained from Morse potential. Several basic mechanical properties of structures are computed by homogenization of nanostructure, e.g. Young's modulus, Poisson's ratio. The problems connecting with geometrical parameters of nanostructures are considered and their influences to resulting homogenized quantities are mentioned.</p></abstract>

The paper deals with application of the finite element method in modelling and simulation of nanostructures. The finite element model is based on beam elements with stiffness properties gained from the quantum mechanics and nonlinear spring elements with force-displacement relation are gained from Morse potential. Several basic mechanical properties of structures are computed by homogenization of nanostructure, e.g. Young's modulus, Poisson's ratio. The problems connecting with geometrical parameters of nanostructures are considered and their influences to resulting homogenized quantities are mentioned.

Application of Finite Element Method for Analysis of Nanostructures

Faculty of Mechanical Engineering, Department of Applied Mechanics and Mechanical Engineering

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Application of Finite Element Method for Analysis of Nanostructures"}

The paper deals with application of the finite element method in modelling and simulation of nanostructures. The finite element model is based on beam elements...

Application of Finite Element Method for Analysis of Nanostructures

Published Online: Jun 15, 2017

Page range: 116 - 120

Received: Apr 28, 2016

Accepted: May 15, 2017

DOI: https://doi.org/10.1515/ama-2017-0018

Keywords
Beam Element, Spring Element, Young's Modulus, Poisson's Ratio

© 2017 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Application of Finite Element Method for Analysis of Nanostructures

Published Online: Jun 15, 2017

Page range: 116 - 120

Received: Apr 28, 2016

Accepted: May 15, 2017

DOI: https://doi.org/10.1515/ama-2017-0018

KeywordsBeam Element, Spring Element, Young's Modulus, Poisson's Ratio

© 2017 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Beam Element, Spring Element, Young's Modulus, Poisson's Ratio