Epitaxially strained elastic films: the case of anisotropic surface energies
Epitaxially strained elastic films: the case of anisotropic surface energies
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外延应变弹性薄膜：各向异性表面能的情况
DOI：
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发表时间：
2013
期刊：
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通讯作者：
M. Bonacini
中科院分区：
文献类型：
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作者：
M. Bonacini
在应变弹性薄膜外延生长的变分模型的背景下，我们研究了各向异性表面能的存在对确定平衡构型的影响。我们表明，在各向同性情况下描述平面形态稳定性的阈值效应对弱各向异性仍然有效，但在高各向异性表面能的情况下不再存在，我们表明平面构型始终是总能量的局部最小值。随着[N.]Fusco和M. Morini，外延应变弹性薄膜的平衡构型：二阶极小条件和解的定性性质。[预印本]，我们通过基于第二次变化的正性的极小性准则获得这些结果。
In the context of a variational model for the epitaxial growth of strained elastic films, we study the effects of the presence of anisotropic surface energies in the determination of equilibrium configurations. We show that the threshold effect that describes the stability of flat morphologies in the isotropic case remains valid for weak anisotropies, but is no longer present in the case of highly anisotropic surface energies, where we show that the flat configuration is always a local minimizer of the total energy. Following the approach of [N. Fusco and M. Morini, Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions. Preprint], we obtain these results by means of a minimality criterion based on the positivity of the second variation.