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Asymptotic analysis of a junction of hyperelastic rods
Asymptotic Analysis ( IF 1.1 ) Pub Date : 2021-03-08 , DOI: 10.3233/asy-211683
Pedro Hernández-Llanos 1
Affiliation  

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:

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。
更新日期:2021-03-10
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