On the Passage from Atomic to Continuum Theory for Thin Films
On the Passage from Atomic to Continuum Theory for Thin Films
复制标题
薄膜从原子理论到连续体理论的转变
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
B. Schmidt
中科院分区：
文献类型：
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作者：
B. Schmidt
我们从薄膜的原子模型出发，对连续介质理论进行了严格的推导。该方案是由Friesecke和James在[J.Mech.太棒了。固体48、1519-1540(2000)]。当ν为(固定)原子薄膜层数时，通过积分存储的能量密度得到了所得到的连续谱能量表达式，该存储能量密度不仅取决于形变梯度，而且还取决于ν-1导向场。
We give a rigorous derivation of a continuum theory from atomic models for thin films. This scheme has been proposed by Friesecke and James in [J. Mech. Phys. Solids 48, 1519–1540 (2000)]. The resulting continuum energy expression is obtained by integrating a stored energy density which not only depends on the deformation gradient, but also on ν-1 director fields when ν is the (fixed) number of atomic film layers.