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 Padé approximations a...

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Bibliographic Details
Published in:Computers & structures 2008, Vol.86 (1), p.140-144
Main Authors: Andrianov, I.V., Awrejcewicz, J.
Format: Article
Language:English
Subjects:
2D lattice
Computational techniques
Condensed matter: structure, mechanical and thermal properties
Continuous model
Discrete media
Dynamics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
General theory
Higher-frequency domain
Lattice dynamics
Mathematical methods in physics
Pade approximations
Physics
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Summary: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 Padé approximations and allows us to obtain continuous models suitable for analysis of 2D lattice vibrations with arbitrary frequencies.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2007.05.013