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单侧摩擦接触约束夹杂物与平面波的动力相互作用--时域边界元分析
引用本文:冯仰德,汪越胜,章梓茂.单侧摩擦接触约束夹杂物与平面波的动力相互作用--时域边界元分析[J].固体力学学报,2003,24(3):249-257.
作者姓名:冯仰德  汪越胜  章梓茂
作者单位:1. 中国科学院计算数学与科学工程计算研究所,北京,100080
2. 北方交通大学工程力学研究所,北京,100044
基金项目:国家自然科学基金,国家自然科学基金,19872001,59878004,10025211,,
摘    要:应用时域边界元法研究了瞬态平面波对单侧摩擦约束夹杂物的散射问题,假设界面摩擦遵守库仑定理,当入射波足够强时界面会出现局部分离和滑移,由于边界上的区域(分离区、滑移区和粘着区)是未知的,所以该问题实际上是个复杂的边界非线性问题,为了确定未知区域,该文发展了一种有效的迭代技术,作为算例,计算了一个无限域中圆柱埋置夹杂物对瞬态平面波的散射问题。

关 键 词:波散射  单侧摩擦接触界面  边界非线性  时域边界元法  瞬态平面波  单侧摩擦约束夹杂物  动力相互作用
修稿时间:2002年10月29

DYNAMIC INTERACTION OF PLANE WAVES WITH A UNILATERALLY FRICTIONALLY CONSTRAINED INCLUSION--TIME DOMAIN BOUNDARY ELEMENT ANALYSIS
Feng Yangde,\ \ Wang Yuesheng,\ \ Zhang Zimao.DYNAMIC INTERACTION OF PLANE WAVES WITH A UNILATERALLY FRICTIONALLY CONSTRAINED INCLUSION--TIME DOMAIN BOUNDARY ELEMENT ANALYSIS[J].Acta Mechnica Solida Sinica,2003,24(3):249-257.
Authors:Feng Yangde  \ \ Wang Yuesheng  \ \ Zhang Zimao
Institution:Feng Yangde 1\ \ Wang Yuesheng 2\ \ Zhang Zimao 3
Abstract:A 2D time domain boundary element method (BEM) is develo pe d to solve the transient scattering of plane waves by a unilaterally frictional ly constrained inclusion. Coulomb friction is supposed along the contact interfa c e. The incident wave is assumed strong enough so that localized slip and separat ion may take place along the interface. The present problem is indeed a nonlinea r boundary value problem since the mixed boundary conditions involve unknown int ervals (slip, separation and stick regions). In order to determine the unknown i ntevals, an iterative technique is developed. As an example, the scattering of a circular cylinder embedded in an infinite solid is analyzed and calculated.
Keywords:wave scattering  inclusion  unilaterally frictionally c onstrained interface  boundary nonlinearity  time-domain boundary element metho d
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