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Finite-size effects in thin-film composites

机译:薄膜复合材料的有限尺寸效应

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Many formulations of the mechanical response of thin-film composites consider the film layers to extend to infinity in the surface plane of the composite. These layers are also assumed to be much thinner than the substrate. Under these assumptions the stress in the substrate becomes negligibly small and the stress transfer between layers does not depend on the elastic moduli of the interfaces. Consequently, in most studies of blanket thin films these terms have received little attention. For thin-film composites with finite dimensions, these terms may be important and they can be calculated from the traditional shear tag model and its extensions. In this paper we show that these models provide widely divergent results when applied to the same structure. These differences arise from the initial stress state and geometry assumptions implicitly contained in such models. Comparison with experimental observations shows that further work is required before these models can be applied to patterned thin-film structures. [References: 19]
机译:薄膜复合材料的许多机械响应公式都认为薄膜层在复合材料的表面延伸至无穷大。还假定这些层比基板薄得多。在这些假设下,基板中的应力变得可以忽略不计,并且层之间的应力传递不取决于界面的弹性模量。因此,在大多数毯式薄膜研究中,这些术语很少受到关注。对于有限尺寸的薄膜复合材料,这些术语可能很重要,可以根据传统的剪切标签模型及其扩展来计算。在本文中,我们证明了当将这些模型应用于同一结构时,它们提供的结果差异很大。这些差异源自此类模型中隐含的初始应力状态和几何假设。与实验观察结果的比较表明,在将这些模型应用于图案化的薄膜结构之前,还需要进一步的工作。 [参考:19]

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