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冲击压缩下陶瓷材料中的破坏波模型
引用本文:姚国文,刘占芳,黄培彦.冲击压缩下陶瓷材料中的破坏波模型[J].应用数学和力学,2006,27(2):193-198.
作者姓名:姚国文  刘占芳  黄培彦
作者单位:重庆交通学院 土木建筑学院,重庆 400074;2.重庆大学 工程力学系,重庆 400044;3.华南理工大学 交通学院,广州 510640
基金项目:中国科学院资助项目;国防重点实验室基金
摘    要:从多晶陶瓷材料细观结构非均匀性及其导致的应力奇异性分析出发,建立了陶瓷材料在冲击压缩下的本构关系,以及以表征材料损伤和破坏的非弹性体积应变为传播特征的破坏波控制方程,破坏层的非弹性体积应变包括由微裂纹成核、扩展引起的膨胀体积应变和由气孔塌陷引起的压缩体积应变两部分.结合92.93%氧化铝陶瓷板碰撞试验,数值模拟了冲击压缩下陶瓷材料中破坏波的传播过程,并对跨越破坏波阵面应力历程和剪切强度的变化规律进行了分析.

关 键 词:破坏波    渐进破碎模型    氧化铝陶瓷    细观结构非均匀性    板碰撞试验
文章编号:1000-0887(2006)02-0193-06
收稿时间:2004-05-18
修稿时间:2005-10-31

Progressive Fragment Modeling of the Failure Wave in Ceramics Under Planar Impact Loading
YAO Guo-wen,LIU Zhan-fang,HUANG Pei-yan.Progressive Fragment Modeling of the Failure Wave in Ceramics Under Planar Impact Loading[J].Applied Mathematics and Mechanics,2006,27(2):193-198.
Authors:YAO Guo-wen  LIU Zhan-fang  HUANG Pei-yan
Institution:School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P. R. China;
Abstract:Polycrystalline ceramics have heterogeneous meso-structures which result in high singularity in stress distribution. Based on this, a progressive fragment model was proposed which describes the failure wave formation and propagation in shocked ceramics. The governing equation of the failure wave is characterized by inelastic bulk strain with material damage and fracture. And the inelastic bulk strain consists of dilatant strain from nucleation and expansion of microcracks and condensed swain from collapse of original pores. Numerical simulation of the free surface velocity was performed in good agreement with planar impact experiments on 92.93 % aluminas at China Academy of Engineering Physics. And the longitudinal, lateral and shear stress histories upon the arrival of the failure wave were predicted, which present the diminished shear strength and lost spall strength in the failed layer.
Keywords:failure wave  progressive fragment model  alumina ceramics  heterogeneous meso-structure  plate impact experiment
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