基于无网格法的孔板应力集中问题的研究

Study on Stress Concentration of A Plate with Hole Based on Meshless Method

带有多项式基的径向点插值无网格方法是一种新型的数值计算方法.在对该无网格法基本理论介绍的基础上,将其应用于弹性力学边值问题中,对开有长槽型孔的薄板进行了数值计算,并重点研究了薄板受单向拉伸时的应力分布及孔边应力集中问题,获得了孔半径r、槽长l和偏心距e与应力集中系数之间的变化关系.

A radial point interpolation meshless method with polynomial basis is a new numerical method. In this paper, the fundamental theory of this method is described, numerical calculation of plates with opening hole is carried out in terms of of meshless method. The paper studies the distribution of stress and stress concentration of orifice plate under tension, varying tendency of stress concentration factors with radius and eccentric distance and flute length are obtained under tension.