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Nonclassical dynamic modeling of nano/microparticles during nanomanipulation processes.

Moharam Habibnejad Korayem1, Ali Asghar Farid2, Rouzbeh Nouhi Hefzabad1

  • 1Robotic Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran.

Beilstein Journal of Nanotechnology
|February 22, 2020
PubMed
Summary

A new nonclassical model using modified couple stress theory accurately simulates nanoparticle manipulation, revealing significant differences from classical models in predicting deflection and failure points for gold nanoparticles.

Keywords:
atomic force microscopymodified couple stress theorynanomanipulationnanoparticle modelingsize effects

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Area of Science:

  • Nanotechnology and Materials Science
  • Computational Mechanics

Background:

  • Real-time observation of atomic force microscopy (AFM) particle manipulation is limited, necessitating accurate modeling for dynamical behavior analysis.
  • Classical continuum mechanics and molecular dynamics have limitations in nanoscale modeling, neglecting size effects or facing computational constraints.

Purpose of the Study:

  • To develop a nonclassical modeling approach for nanomanipulation that incorporates size effects for improved accuracy and computational efficiency.
  • To investigate the dynamical behavior of cylindrical gold nanoparticles during manipulation using the modified couple stress theory.

Main Methods:

  • Simulation of critical times and forces for nanoparticle motion onset and dominant mode identification.
  • Application of nonclassical continuum mechanics, modified couple stress theory, and a developed von Mises yield criterion.
  • Utilized Timoshenko and Euler-Bernoulli beam theories with the finite element method to solve governing equations of motion.

Main Results:

  • The nonclassical model shows a 90% difference from classical models in predicting maximum deflection and over 25% difference in dynamic modeling for gold nanoparticles.
  • Discrepancies increase with higher aspect ratios and reduced manipulation distances.
  • The nonclassical model predicts a 212% greater failure aspect ratio for gold nanoparticles compared to classical models.

Conclusions:

  • The material length scale significantly impacts the precise positioning of cylindrical nanoparticles, as demonstrated by the nonclassical model.
  • Modified couple stress theory provides a more accurate and computationally optimized approach for nanomanipulation modeling.