Taylor Averaging on Heterogeneous Foams
Taylor Averaging on Heterogeneous Foams
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异质泡沫的泰勒平均
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Shanfu Zheng
中科院分区：
文献类型：
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作者：
A. Cuitiño;Shanfu Zheng
在本文中，我们提出了一种公式来解释泡孔尺寸分布对泡沫机械行为的影响。本方法通过泰勒平均方法对不同尺寸的单位单元的响应进行平均。该技术可以应用于明确给出单元尺寸的不同单元单元模型。为了保持平均公式在分析上可追溯，我们选择了一个单位细胞模型，即气泡模型（Ortiz，M.，Gioia，G.和Cuitino，A.M.手稿正在准备中），它考虑了经历均匀有限变形的均匀薄壁球形细胞阵列的行为。该模型依赖于膜拉伸和弯曲引起的变形构型的应变能密度的计算。对于该晶胞模型，晶胞尺寸分布的影响仅由分布的前三个矩或平均半径、方差和偏度来描述。针对泡沫相对密度的两个不同值，分析了这些参数对经受单轴压缩的泡沫行为的影响。该模型与具有不同尺寸的近球形泡孔的延性泡沫系统的单轴压缩测试进行了比较。细胞尺寸分布被独立测量并作为输入引入到模型中。荷载位移响应的预测与试验结果总体吻合良好。
In this article we present a formulation to account for the effect of cell size distribution on the mechanical behavior of foams. The present approach averages the response of unit cells with different sizes via a Taylor averaging approach. This technique can be applied to different unit cell models where the cell size is explicitly given. In order to keep the averaging formulation analytically traceable, we select a unit cell model, bubble model (Ortiz, M., Gioia, G. and Cuitino,A.M. Manuscript in preparation), that considers the behavior of an homogeneous array of thin-walled spherical cells undergoing uniform finite deformation. This model relays on the computation of the strain energy density for the deformed configuration due to membrane stretching and bending. For this unit cell model, the effect of the cell size distribution is described only by the first three moments of the distribution, or the mean radius, variance and skeweness. The effect of these parameters on the foam behavior subjected to uniaxial compression is analyzed for two different values of the relative density of the foam. The model is compared against a unixial compression test of a ductile foam system with nearly spherical cells of different sizes. The cell size distribution is measured independenly and introduced to the model as a input. The prediction of load displacement response is in general good agreement with the experimental test.