Interface behavior of a thin-film bonded to a graded layer coated elastic half-plane
Interface behavior of a thin-film bonded to a graded layer coated elastic half-plane
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薄膜粘合到渐变层涂层弹性半平面的界面行为
DOI：
10.1016/j.ijmecsci.2016.07.032
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发表时间：
2016-09
期刊：
影响因子：
--
通讯作者：
Peng Juan
中科院分区：
文献类型：
--
作者：
Chen Peijian;Chen Shaohua;Peng Juan
采用线性统一模型分析了在弹性半平面上粘贴任意梯度过渡层的薄膜在界面受到失配应变时的界面行为。采用一系列连续但分段的线性函数来描述过渡层弹性模量的不同梯度变化规律。首先求出了梯度涂层半平面在法向和切向集中力作用下的基本解，然后进一步研究了具有任意梯度过渡层的弹性半平面粘结薄膜的失配问题。求解得到的柯西奇异性积分控制方程，得到了界面剪应力、薄膜中的法向应力以及结合边附近的应力强度因子。研究发现，梯度变化规律、薄膜的刚度、剪切模量比和梯度过渡层的长度尺度对薄膜与梯度层的界面力学有显著的影响。所得结果将有助于薄膜和功能梯度材料系统的设计，并可指导工程师为特定应用选择合适的梯度材料。
The interface behavior of a thin-film adhering to an elastic half-plane with an arbitrarily graded transition layer is analyzed by a linearly unified model when the interface between the thin-film and the graded layer is subjected to a mismatch strain. A series of continuous but piecewise linear functions are adopted to describe different graded variation laws of the transition layer's modulus. The fundamental solution of a graded-layer coated half-plane under a pair of normal and tangential concentrated forces is obtained first, and then the mismatch problem of a thin-film bonded to an elastic half-plane with an arbitrarily graded transition layer is further investigated. Solving the obtained integral governing equation of Cauchy singularity leads to the interfacial shear stress, the normal stress in the film, as well as the stress intensity factor near the bonded edge. It is found that the interfacial mechanics of a thin-film bonded to a graded layer is significantly affected by varying gradient law, stiffness of the film, ratio of shear modulus and length scale of the graded transition layer. The results should be helpful for the design of systems with thin-films and functional graded materials and could guide engineers to choose proper graded materials for particular applications.
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DOI：
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