Simplified prediction of the monotonic uniaxial stress-strain curve of non-linear particulate composites
Simplified prediction of the monotonic uniaxial stress-strain curve of non-linear particulate composites
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DOI：
10.1016/j.actamat.2006.01.002
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发表时间：
2006-05
期刊：
影响因子：
9.4
通讯作者：
Randoald Mueller;A. Mortensen
中科院分区：
文献类型：
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作者：
Randoald Mueller;A. Mortensen
两相材料的非线性流动应力的变分估计适用于简化各向同性颗粒增强金属的单调单轴响应的预测。该模型的简化是：（i）复合弹性和塑性应变的计算是解耦的，（ii）当计算复合塑性应变时，钢筋被认为是完全刚性的，而基体被假设为根据Hollomon幂律变形而没有体积变化。这种简化的方案产生的解析表达式，显示出良好的协议与预测的全变分估计，特别是如果森田中或Torquato相同的硬球模型被用来预测复合材料的线性弹性模量。更具体地，由上述假设引入的误差显著小于由选择适当的弹性模量预测方案所产生的差异。因此，在实际应用中，使用这里提出的方法是合理的，因为它们给计算带来了相当大的简化。
A variational estimate of the non-linear flow stress of two-phase materials is adapted to simplify predictions of the monotonic uniaxial response of an isotropic particle-reinforced metal. Simplifications to the model are: (i) calculation of the composite elastic and plastic strain is decoupled and (ii) when calculating the composite plastic strain, the reinforcement is taken to be perfectly rigid while the matrix is assumed to deform with no volume change according to a Hollomon power law. This simplified scheme yields analytical expressions that show good agreement with predictions of the full variational estimate, particularly if the Mori–Tanaka or the Torquato identical hard spheres models are used to predict the composite linear elastic modulus. More specifically, error introduced by the above assumptions is significantly less than the difference made by the choice of the appropriate elastic modulus prediction scheme. Use of the approach proposed here is thus justified in practical applications, given the considerable simplification they bring to the calculation.