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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

DYNAMIC INTERACTION OF PLANE WAVES WITH A UNILATERALLY FRICTIONALLY CONSTRAINED INCLUSION-TIME DOMAIN BOUNDARY ELEMENT ANALYSIS

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【作者】 冯仰德汪越胜章梓茂

【Author】 Feng Yangde 1\ \ Wang Yuesheng 2\ \ Zhang Zimao 3 ( 1Institute of Computational Mathematics and Science-Engineering Computin g, Chinese Academy of Sciences, Beijing, 100080) ( 2Institute of Engineering Mechanics, Northern Jiaotong University, Beijin g, 100044)

【机构】 中国科学院计算数学与科学工程计算研究所北方交通大学工程力学研究所北方交通大学工程力学研究所 北京100080北京100044100044

【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

【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.

【基金】 国家自然科学基金 ( 19872 0 0 1;598780 0 4 );国家杰出青年科学基金(10 0 2 52 11)资助
  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,2003年03期
  • 【分类号】O347.4
  • 【下载频次】65
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