论文标题
二阶弯曲薄膜的渐近分析
Asymptotic analysis for a second order curved thin film
论文作者
论文摘要
我们考虑了二阶薄弯曲膜，其行为由由一阶非线性部分组成的能量控制，具体取决于变形的梯度，这取决于二次二阶部分的梯度，具体取决于变形的第二个衍生物的张量。我们通过趋势为零的膜厚度的渐近膨胀进行了3D-2D分析。
We consider a second order thin curved film whose behavior is governed by an energy made up of a first order nonlinear part depending on the gradient of the deformation augmented by a quadratic second order part depending on the tensor of second derivatives of the deformation. We carry out a 3D-2D analysis through an asymptotic expansion in powers of the thickness of the film as it tends to zero.
