Indentation behavior of multiferroic composite materials under an axisymmetric power-law shaped indenter
Indentation behavior of multiferroic composite materials under an axisymmetric power-law shaped indenter
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DOI：
10.1016/j.apm.2023.11.007
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发表时间：
2023-11
影响因子：
5
通讯作者：
Qinger Luo;Yue-Ting Zhou
中科院分区：
文献类型：
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作者：
Qinger Luo;Yue-Ting Zhou
纳米压痕技术已被广泛用于表征多铁性复合介质的各种材料特性，其中压头尖端可以具有更一般的轮廓，而不仅仅是三种常见的简单形状（平面、圆锥和球形）。研究了轴对称幂律压头在横观各向同性多铁性半空间中的无摩擦压入问题。借助于Hankel积分变换，将所述混合边值问题化为对偶积分方程，然后解析求解。得到了四种不同电磁特性的幂律形状压头作用下多铁性半空间表面耦合物理场的封闭解，该解可将文献中已有的结果作为特例包含在内.首次推导了幂律形状压头载荷-位移关系的显式解析表达式，为表征多铁性复合介质的材料特性提供了理论基础。详细讨论了形状指数和电磁特性对压痕行为的影响。结果表明，形状指数对荷载-位移关系和广义应力场分布都有显著影响。所得解析解可作为多铁性复合材料实验测试和表征的基准。
Nanoindentation technique has been widely employed to characterize various material properties of multiferroic composite medium, where the indenter tip may have more general profile rather than just three common simple shapes (flat, cone and sphere). In this paper, the frictionless indentation problem of a transversely isotropic multiferroic half-space punched by an axisymmetric power-law shaped indenter is investigated. By virtue of the Hankel integral transform, the stated mixed boundary value problem is reduced to dual integral equations, which are then solved analytically. Closed-form solutions for the coupled physical fields at the surface of multiferroic half-space under the action of the power-law shaped indenters with four different electromagnetic properties are obtained, which can include the existing results in literature as special cases. The explicit analytical expressions of load-displacement relationship for the power-law shaped indenter are derived for the first time, which provide the theoretical foundation for characterizing material properties of multiferroic composite medium. The effects of the shape index and electromagnetic properties of the indenter on indentation behaviors are discussed in detail. It is found that the shape index has a significant effect on both the load-displacement relationship and the distribution of the generalized stress fields. The analytical solutions derived from this work can serve as benchmarks for experimental test and characterization of multiferroic composite materials.