It is difficult to know if a nano-structure has similar characteristics with bulk structure properties. Hence, this paper developed atomistic-continuum mechanics (ACM), and used the finite element method (FEM) to transfer an originally discrete atomic structure into an equilibrium continuum model. The purpose of this research is to study the Young's modulus of copper in nano-scale structure under tensile testing and vibration loading. In this approach, the face-centered-cubic (fcc) metal bonds might be able to describe the inter-atomic forces between adjacent atoms. In short, the bond of the atomic lattice could be replaced by the spring element. The mechanical properties are discussed in terms of change in the structural size and the percentage of point defects of copper
