Peristatic solutions for finite one- and two-dimensional systems

被引：15
|
作者：
Nishawala, Vinesh V. [1 ]
Ostoja-Starzewski, Martin [1 ]
机构：
[1] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL USA
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2017年 / 22卷 / 08期
基金：
美国国家科学基金会;
关键词：
Peridynamics; peristatics; analytical solutions; nonlocal methods; 1D rod; 2D plate; LONG-RANGE FORCES; PERIDYNAMICS; BAR;
D O I：
10.1177/1081286516641180
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Peridynamics is a nonlocal continuum mechanics theory where its governing equation has an integro-differential form. This paper specifically uses bond-based peridynamics. Typically, peridynamic problems are solved via numerical means, and analytical solutions are not as common. This paper analytically evaluates peristatics, the static version of peridynamics, for a finite one-dimensional rod as well as a special case for two dimensions. A numerical method is also implemented to confirm the analytical results.
引用
收藏
页码：1639 / 1653
页数：15
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