On the relationships between hardness and the elastic and plastic properties of transversely isotropic power-law hardening materials
On the relationships between hardness and the elastic and plastic properties of transversely isotropic power-law hardening materials
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DOI：
10.1557/s43578-022-00730-y
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发表时间：
2022-09
影响因子：
2.7
通讯作者：
Tahir Ramzan Bhat;T. A. Venkatesh
中科院分区：
文献类型：
--
作者：
Tahir Ramzan Bhat;T. A. Venkatesh
使用量纲分析和大变形有限元模拟的幂律硬化模型材料的压痕相结合，捕获横向各向同性材料的硬度特性的框架开发。通过考虑4800种材料特性的组合，预测横向各向同性材料的硬度的关系被制定为纵向和横向压痕。据发现，硬度往往是更高的材料与塑性各向异性比那些表现出等效的弹性各向异性。对于理想塑性材料，硬度与屈服应力之比（R_0）可以在2.5到3.5之间变化，而对于具有应变硬化的材料，R_0可以高达10。硬度与塔博尔代表应力之间的关系更紧密，硬度与塔博尔代表应力的比值（Rt）在2.2 ~ 4之间，这取决于弹性和塑性性质以及各向异性程度。图形摘要
Using a combination of dimensional analysis and large deformation finite element simulations of indentations of power-law hardening model materials, a framework for capturing the hardness characteristics of transversely isotropic materials is developed. By considering 4800 combinations of material properties, relationships that predict the hardness of transversely isotropic materials are formulated for both longitudinal and transverse indentations. It is found that hardness tends to be higher for materials with plastic anisotropy than those that exhibit equivalent elastic anisotropy. For perfectly plastic materials, the hardness to the yield stress ratio ( R _0) can vary from 2.5 to 3.5, while for materials with strain hardening, R _0 can be as high as 10. A tighter relationship between the hardness and the Tabor’s representative stress is observed with the ratio of the hardness to the Tabor’s representative stress ( R _t) ranging from 2.2 to 4, depending on the elastic and plastic properties and the degree of anisotropy. Graphical abstract