In this paper, 3D–2D-dimensional reduction for hyperelastic thin films modeled through energies with point-dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of $\mathrm{\Gamma }$-convergence. Integral representation results, with a more regular Lagrangian related to the original energy density, are provided for the lower dimensional limiting energy, in different contexts.

中文翻译：

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具有点相关能量增长的薄结构的渐近分析

在本文中，假设样品被夹紧在横向边界上，通过点相关生长的能量建模的超弹性薄膜的 3D-2D 维简化是在 $\mathrm{\Gamma }$ 收敛的框架中进行的。在不同的背景下，为较低维限制能量提供了积分表示结果，具有与原始能量密度相关的更规则的拉格朗日量。