A cascade continuum micromechanics model for the effective elastic properties of porous materials
A cascade continuum micromechanics model for the effective elastic properties of porous materials
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DOI：
10.1016/j.ijsolstr.2015.12.010
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发表时间：
2016-04
影响因子：
3.6
通讯作者：
J. Timothy;G. Meschke
中科院分区：
文献类型：
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作者：
J. Timothy;G. Meschke
使用平均场埃谢尔比均质化方案和递归原理来估计具有无序孔结构的多孔材料的弹性特性，以生成作为孔隙率和级联水平的函数的有效微结构级联。从多孔材料的Hashin-Shtrikman上界开始，所提出的级联微观力学模型生成了微观结构的层次结构，该结构从具有嵌入与Mori-Tanakamatrix夹杂形态一致的弹性固相中的球形孔的多孔材料的初始构型演变为以球形弹性颗粒的层次分布为特征的多孔材料。该模型是明确的并且允许简单的计算实现。它预测物理一致的阈值孔隙率，这是所考虑的多孔材料的特定形态的特征，超过该阈值，材料就会失去其刚度。根据从泡沫到具有不同孔结构的陶瓷等各种材料的实验数据，评估了级联微观力学模型的有效性。
The elastic properties of porous materials with a disordered pore structure are estimated using the mean-fieldEshelbyhomogenization scheme together with the principle of recurrence to generate a cascade of effective microstructures as a function of the porosity and the cascade leveln. Starting with theHashin–Shtrikmanupper bound for porous materials, the proposed cascade micromechanics model generates a hierarchy of micro-structures which evolve from an initial configuration of a porous material with spherical pores embedded within an elastic solid phase consistent with theMori–Tanakamatrix inclusion morphology to a porous material characterized by a hierarchic distribution of spherical elastic grains. The model is explicit and allows for an easy computational implementation. It predicts physically consistent threshold porosities, characteristic for the specific morphology of the porous material under consideration, beyond which the material loses its stiffness. The validity of the cascade micromechanics model is evaluated against experimental data for various materials ranging from foam to ceramics with different pore structures.