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.

在本文中，将不同的标准和非标准连续化技术应用于一维实体，该一维实体由质量链组成，该质量链通过线性弹簧与最近邻和下一近邻相互作用。这项研究关注于不同连续体在捕获离散色散行为方面的可靠性，连续控制方程的阶次，因为它对包括非经典边界条件的需求以及出现的物理不一致性的影响。短波长。Bacigalupo和Gambarotta用于具有最接近相互作用的晶格的正则化方法比其他方法具有优势。