Coupled systems mechanics

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Stability of matching boundary conditions for diatomic chain and square lattice

  • Ji, Songsong (Department of Mechanics and Engineering Science, College of Engineering, Peking University) ;
  • Tang, Shaoqiang (HEDPS, CAPT and LTCS, College of Engineering, Peking University)
  • Received : 2017.08.16
  • Accepted : 2017.10.04
  • Published : 2018.06.25
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Abstract

Stability of MBC1, a specific matching boundary condition, is proved for atomic simulations of a diatomic chain. The boundary condition and the Newton equations that govern the atomic dynamics form a coupled system. Energy functions that decay along with time are constructed for both the boundary with the same type atoms and the one with different type atoms. For a nonlinear chain, MBC1 is also shown stable. Numerical verifications are presented. Moreover, MBC1 is proved to be stable for a two dimensional square lattice.

Keywords

Acknowledgement

Supported by : NSFC

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