An adhesion map for the contact of elastic spheres

An adhesion map for the contact of elastic spheres
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DOI:
10.1006/jcis.1997.4984
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发表时间:
1997-08-15
影响因子:
9.9
通讯作者:
Greenwood, JA
Greenwood, JA
中科院分区:
化学1区
文献类型:
--
作者:
Johnson, KL;Greenwood, JA

文献摘要

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弹性球体之间粘附力的几个连续介质力学模型已经应用于柔性材料,如橡胶和空气中或胶体悬浮液中的细颗粒。最近,它们被用于与实验技术,如表面力装置和原子力显微镜。要使用的适当模型取决于条件:球体的大小和弹性以及它们所承受的载荷。为了指导这一选择,已经构建了一个图,其中无量纲坐标μ和(P)在bar上,其中弹性参数μ可以解释为由粘附引起的弹性变形与表面力的有效范围的比率,并且bar上的载荷参数(P)是所施加的载荷与粘附力的比率。一个封闭形式的解决方案的基础上的Dugdale力分离法的概述和用于构建地图。Dugdale近似引入的误差进行评估,通过与数值解使用的Lennard-Jones力法进行比较。(C)北京:科学出版社.
Several continuum mechanics models of the adhesion between elastic spheres have found application to compliant materials such as rubber and to fine particles in the air or in colloidal suspension. More recently they are being used in connection with experimental techniques such as the surface force apparatus and the atomic force microscope. The appropriate model to use depends on the conditions: the size and elasticity of the spheres and the load to which they are subjected. To guide this choice a map has been constructed with nondimensional coordinates mu and (P) over bar, where the elasticity parameter mu can be interpreted as the ratio of elastic deformation resulting from adhesion to the effective range of surface forces and the load parameter (P) over bar is the ratio of the applied load to the adhesive force. A closed form solution to the problem based on a Dugdale force-separation law is outlined and used to construct the map. The errors introduced by the Dugdale approximation are assessed by comparison with numerical solutions using the Lennard-Jones force law. (C) 1997 Academic Press.