期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 29, 期 6, 页码 923-932出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2020.1799271
关键词
Next-nearest interactions; lattice dynamics; dispersive behavior; continualization; shift operator; regularization
类别
资金
- Ministerio de Economia y Competitividad de Espana [PGC2018-098218-B-I00]
In this article, different standard and nonstandard continualization techniques are applied to a one-dimensional solid consisting of a chain of masses interacting with nearest and next-nearest neighbors through linear springs. The study focuses on the reliability of different continua in capturing the dispersive behavior of the discrete system, as well as their effect on the need for nonclassical boundary conditions and physical inconsistencies at short wavelengths. The Regularization method, used for a lattice with nearest interactions, presents advantages over the others.
In this article, different standard and nonstandard continualization techniques are applied to a one-dimensional solid consisting in a chain of masses interacting with nearest and next-nearest neighbors through linear springs. The study focuses on the reliability of the different continua in capturing the dispersive behavior of the discrete, on the order of the continuous governing equation because of its effect on the need for including nonclassical boundary conditions, as well as on the physical inconsistencies that appear for short wavelengths. The Regularization method, used by Bacigalupo and Gambarotta for a lattice with nearest interactions, presents advantages over the others.
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