Dimensional Reduction of the Kirchhoff-Plateau Problem

Dimensional Reduction of the Kirchhoff-Plateau Problem
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基尔霍夫平台问题的降维

DOI:
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发表时间:
2020
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影响因子:
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通讯作者:
A. Marzocchi
A. Marzocchi
中科院分区:
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文献类型:
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作者:
G. Bevilacqua;L. Lussardi;A. Marzocchi

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当杆的横截面为零时,我们得到了以弹性边界为极小值的杆边界Kirchhoff-Platform问题的极小能量解。极限边界是一条可以承受弯曲和扭转的框架式曲线。
We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.