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基于u_(tt)-a~2u_(xx)=0的脆性材料受拉开裂稳定性分析
引用本文:尚仁杰,赵国藩,黄承逵.基于u_(tt)-a~2u_(xx)=0的脆性材料受拉开裂稳定性分析[J].实验力学,1997,12(2).
作者姓名:尚仁杰  赵国藩  黄承逵
作者单位:冶金工业部建筑研究总院,大连理工大学
摘    要:本文从混凝土受拉开裂的机理出发,基于虚拟裂缝模型(FictiousCrackModel,FCM)[1],建立了混凝土开裂的定解方程及其边界、初始条件,通过对波动方程ut-a2uxx=0解的稳定性分析,首次从动态角度得到混凝土试件受拉稳定开裂所应满足的条件,最后通过实验和算例证实了本文分析的正确性,为脆性材料拉伸全曲线实验研究奠定了理论基础

关 键 词:脆性材料,波动方程,开裂,稳定性

Stability Analysis of Cracking in Tension for Brittle Materials Based on the Wave Equation u tt -a 2u xx =0
Shang Renjie.Stability Analysis of Cracking in Tension for Brittle Materials Based on the Wave Equation u tt -a 2u xx =0[J].Journal of Experimental Mechanics,1997,12(2).
Authors:Shang Renjie
Institution:Shang Renjie (Central Research Institute of Building and Construction) Zhao Guofan Huang Chengkui(Dalian University of Technology)
Abstract:Based on the fictious crack model proposed by Prof.Hillerborg and the cracking mechanism for concrete in tension, one dimensional wave equation u tt -a 2u xx =0 is derived for the analysis of stable cracking condition. Some results for the stability of the solution of the wave equation is obtained, which may serve as the basis for explaining the experimental complete stress deformation curves of brittle materials.
Keywords:brittle material  wave equation  crack  stability  
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