The authors construct a bridge between a microscale view and a nanoscale one in continuum mechanics. When the size of structure reduces to nanolevel, the ratio of surface to volume increases. Then, the surface stresses, which like to surface tension in fluid, influence on bulk stresses. In the present paper, the authors analyze a problem that anisotropic nanothin layers are deposited on a half substrate. Interface stresses and interface elasticity are taken into account for the boundary condition for each layer. Furthermore, misfit dislocation networks which generate from a mismatch of lattice parameters in crystals composing multilayers exist at each interface. A complicated interaction between misfit dislocation networks located at different interfaces will be demonstrated, and the results in the theory will be compared with those in a molecular dynamic method using a generalized embedded atomic potential.