Homogenization of Linear Elastic Properties of Silicon Nitride
Homogenization of Linear Elastic Properties of Silicon Nitride
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氮化硅线弹性性能的均匀化
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
T. Langhoff
中科院分区：
文献类型：
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作者：
T. Böhlke;K. Jöchen;T. Langhoff
基于应变能密度的一阶、三阶和五阶边界，对氮化硅（Si 3 N4）的有效线弹性性质进行了估计。这种特定类型的材料是具有不同材料对称性的两种线性弹性材料的混合物。β-Si 3 N4晶粒具有六方对称性，具有显著的各向异性，而玻璃相近似为各向同性。结果如下：i）五阶上界和下界几乎相同。因此，这些界限足以估计有效的弹性性能。ii）对于六方β-Si 3 N4颗粒的固定弹性常数，Si 3 N4的有效性质被确定为玻璃相的性质及其体积分数的函数。相应的图表允许的玻璃相的弹性性质的逆识别。（© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
The effective linear elastic properties of silicon nitride (Si3N4) are estimated based on first–, third–, and fifth–order bounds of the strain energy density. This specific type of material is a mixture of two linear elastic materials with different material symmetries. The β‐Si3N4 grains have a hexagonal symmetry with significant amount of anisotropy, whereas the glassy phase is approximately isotropic. The results are as follows: i) The fifth–order upper and lower bounds are almost identical. Therefore, these bounds are sufficient for estimating the effective elastic properties. ii) For fixed elastic constants of the hexagonal β‐Si3N4 grains, the effective properties of Si3N4 are determined as a function of properties of the glassy phase and its volume fraction. The corresponding diagrams allow for the inverse identification of the elastic properties of the glassy phase. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)