An interface energy density-based theory considering the coherent interface effect in nanomaterials

An interface energy density-based theory considering the coherent interface effect in nanomaterials
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考虑纳米材料相干界面效应的基于界面能量密度的理论

DOI:
10.1016/j.jmps.2016.12.009
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发表时间:
2017-02
期刊:
J. Mech. Phys. Solids
影响因子:
--
通讯作者:
Fang Daining
Fang Daining
中科院分区:
其他
文献类型:
--
作者:
Yao Yin;Chen Shaohua;Fang Daining

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为了方便、可行地表征纳米材料中的相干界面效应,提出了基于界面自由能密度概念的连续介质理论,界面自由能密度是影响所有尺度材料中相干界面力学性能的主导因素。考虑了纳米材料的自弛豫和晶格失配引起的残余应变以及外部载荷引起的界面变形对界面自由能密度的影响。与现有理论相反,界面处的应力不连续性是通过界面诱导牵引的界面自由能密度来表征的。因此,本理论避免了以往理论中引入的不易精确确定的界面弹性常数。仅涉及形成界面的块体材料的表面能量密度、表面弛豫引起的弛豫参数以及在两个表面之间形成相干界面的失配参数。所有相关参数比界面弹性常数更容易确定。使用所提出的理论预测了纳米颗粒增强纳米复合材料的有效体积模量和剪切模量。实现了封闭式解决方案,证明了所提出的模型用于预测纳米材料界面效应的可行性和便利性。
To characterize the coherent interface effect conveniently and feasibly in nanomaterials, a continuum theory is proposed that is based on the concept of the interface free energy density, which is a dominant factor affecting the mechanical properties of the coherent interface in materials of all scales. The effect of the residual strain caused by self-relaxation and the lattice misfit of nanomaterials, as well as that due to the interface deformation induced by an external load on the interface free energy density is considered. In contrast to the existing theories, the stress discontinuity at the interface is characterized by the interface free energy density through an interface-induced traction. As a result, the interface elastic constant introduced in previous theories, which is not easy to determine precisely, is avoided in the present theory. Only the surface energy density of the bulk materials forming the interface, the relaxation parameter induced by surface relaxation, and the mismatch parameter for forming a coherent interface between the two surfaces are involved. All the related parameters are far easier to determine than the interface elastic constants. The effective bulk and shear moduli of a nanoparticle-reinforced nanocomposite are predicted using the proposed theory. Closed-form solutions are achieved, demonstrating the feasibility and convenience of the proposed model for predicting the interface effect in nanomaterials.
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影响因子: --
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影响因子: 9.4
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