In this article we obtain a 1-dimensional asymptotic model for a junction of thin hyperelastic rods as the thickness goes to zero. We show, under appropriate hypotheses on the loads, that the deformations that minimize the total energy weakly converge in a Sobolev space towards the minimum of a 1D-dimensional energy for elastic strings by using techniques from Γ-convergence.

中文翻译：

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超弹性杆连接处的渐近分析

在本文中，当厚度趋于零时，我们获得了细超弹性杆交界处的一维渐近模型。我们在适当的载荷假设下表明，使用Γ收敛技术，使总能量最小化的变形在Sobolev空间中朝弹性弦的一维能量最小方向微弱收敛。