Interaction and multiscale mechanics

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Atomistic analysis of nano/micro biosensors

  • Chen, James (Department of Mechanical and Aerospace Engineering, The George Washington University) ;
  • Lee, James D. (Department of Mechanical and Aerospace Engineering, The George Washington University)
  • Received : 2010.01.07
  • Accepted : 2010.05.10
  • Published : 2010.06.25
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Abstract

Dynamic analysis of nano/micro bio-sensors based on a multiscale atomistic/continuum theory is introduced. We use a generalized atomistic finite element method (GAFEM) to analyze a bio-sensor which has $3{\times}N_a{\times}N_p$ degrees of freedom, where $N_p$ is the number of representative unit cells and $N_a$ is the number of atoms per unit cell. The stiffness matrix is derived from interatomic potential between pairs of atoms. This work contains two studies: (1) the resonance analysis of nano bio-sensors with different amount of target analyte and (2) the dependence of resonance frequency on finite element mesh. We also examine the Courant-Friedrichs-Lewy (CFL) condition based on the highest resonance frequency. The CFL condition is the criterion for the time step used in the dynamic analysis by GAFEM. Our studies can be utilized to predict the performance of micro/nano bio-sensors from atomistic perspective.

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References

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