Continuous models for 2D discrete media valid for higher-frequency domain
The paper is focused on 2D continuous models derived from a discrete micro-structure. A new continualization procedure that refers to the non-local interaction between variables of the discrete media is proposed. The proposed procedure covers mainly the application of two-point Pad approximations and allows us to obtain continuous models suitable for analysis of 2D lattice vibrations with arbitrary frequencies.
continuous model discrete media higher-frequency domain 2d lattice dynamics pade approximations