Image-Based Modeling and Elastic Analysis of Porous Ceramics by the Homogenization Method
Image-Based Modeling and Elastic Analysis of Porous Ceramics by the Homogenization Method
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基于图像的均化法多孔陶瓷建模和弹性分析
DOI：
10.2109/jcersj.110.567
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发表时间：
2002
影响因子：
1.1
通讯作者：
M. Zako
中科院分区：
文献类型：
--
作者：
K. Kimura;N. Takano;F. Kubo;Syusui Ogawa;H. Kawamoto;M. Zako
建立了多孔陶瓷三维弹性分析系统。在该系统中，使用来自数字图像的体素（体积像素）元素对孔隙的三维形态进行建模。基于图像的有限元模型的弹性分析是通过均匀化方法进行的。为了研究该分析系统，计算了具有按体积计约1%的球形孔的多孔Al2O3的弹性性质和行为。由均匀化方法得到的杨氏模量与实验值和理论值一致。利用计算出的弹性模量，计算了弯曲试验中孔隙周围的局部应力集中状态以及样品中的整体应力。有人发现，弯曲强度对孔隙率的依赖性可以通过考虑孔隙周围的局部应力来描述。基于图像的建模方法与均匀化方法相结合是分析多孔陶瓷力学行为，特别是非均匀形貌多孔陶瓷力学行为的有效方法。
A three-dimensional elastic analysis system for porous ceramics has been built. In this system, three-dimensional morphology of pores is modeled using voxel (volume pixel) elements from digital images. Elastic analysis with this image-based finite element model is performed by the homogenization method. In order to investigate this analysis system, the elastic properties and behavior of porous Al2O3 with spherical pores on the order of 1% by volume were computed. Young's moduli obtained by the homogenization method were consistent with both experimental and theoretical values. Using computed moduli of elasticity, the state of local stress concentration around the pores in a bending test was calculated together with the global stress in the sample. It was found that the dependence of the bending strength upon porosity can be described by taking into account local stresses around the pores. The combination of image-based modeling and homogenization method is a useful way to analyze the mechanical behavior of porous ceramics especially with inhomogeneous morphology.