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低密度开孔泡沫蠕变松弛特性分析
引用本文:范志庚, 陈常青, 卢天健. 低密度开孔泡沫蠕变松弛特性分析[J]. 固体力学学报, 2009, 30(6): 558-564.
作者姓名:范志庚  陈常青  卢天健
作者单位:西安交通大学航天航空学院强度与振动教育部重点实验室,西安,710049;中国工程物理研究院总体工程研究所,绵阳,621900; 清华大学工程力学系,北京,100084; 西安交通大学航天航空学院强度与振动教育部重点实验室,西安,710049
基金项目:国家自然科学基金项目,国家基础研究计划资助项目,国家高技术研究发展计划项目,中国工程物理研究院科学技术发展基金 
摘    要:利用三维Voronoi模型和有限元方法分析了胞壁材料具有粘弹特性的低密度开孔泡沫的蠕变和应力松弛行为.采用了三参量标准线性固体模型来描述胞壁材料的粘弹特性.所得结果表明.低密度开孔泡沫具有与其胞壁材料相同的松弛时间,当相对密度较低时(低于1%)开孔泡沫的松弛模量与胞壁材料的松弛模量和泡沫相对密度平方成正比.此外,计算结果还表明,低密度开孔泡沫在较小的初始应力条件下具有与其胞壁材料相同的延迟时间.其蠕变柔度与胞壁材料的蠕变柔度和泡沫相对密度平方倒数基本成正比.但随着初始应力值的增大,泡沫的延迟时间将会显著增加.

关 键 词:; 开孔泡沫; Voronoi模型; 线粘弹性; 蠕变; 应力松弛

NUMERICAL ANALYSIS OF THE CREEP AND STRESS RELAXATION OF LOW DENSITY OPEN-CELL FOAMS
NUMERICAL ANALYSIS OF THE CREEP AND STRESS RELAXATION OF LOW DENSITY OPEN-CELL FOAMS[J]. Chinese Journal of Solid Mechanics, 2009, 30(6): 558-564.
Authors:Zhigeng Fan  Changqing Chen  Tianjian Lu
Abstract:Three dimensional Voronoi model, in conjunction with the three-parameter standard linear model for the viscoelastic behavior of the cell wall material, is employed to simulate the creep and stress relaxation responses of low density open-cell foams. Obtained finite element results reveal that the foams have the same relaxation time as that of the solid of which the foams are made. The stress relaxation modulus of the foams with very low relative density is proportional to that of the solid and the square of the relative density. Numerical results on the creep analysis also show that the foams have the same delay time as that of the solid material of the foams and the creep compliance of the foams is proportional to that of the solid and the reciprocal of the square of relative densities at very low initial stress. With the increase of the initial stress, the delay time of the foams increases significantly.
Keywords:open-cell foams  Voronoi model  linear viscoelasticity  FEM  creep  stress relaxation
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