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Numerical Simulation of Inextensible Elastic Ribbons
SIAM Journal on Numerical Analysis ( IF 2.9 ) Pub Date : 2020-01-01 , DOI: 10.1137/20m1357494
Sören Bartels

Using dimensionally reduced models for the numerical simulation of thin objects is highly attractive as this reduces the computational work substantially. The case of narrow thin elastic bands is considered and a convergent finite element discretization for the one-dimensional energy functional together with a fully practical, energy-monotone iterative method for computing stationary configurations are devised. Numerical experiments confirm the theoretical findings and illustrate the qualitative behavior of elastic narrow bands.

中文翻译:

不可伸长弹性带的数值模拟

使用降维模型对薄物体进行数值模拟非常有吸引力,因为这大大减少了计算工作。考虑了窄薄弹性带的情况,并设计了用于一维能量泛函的收敛有限元离散化以及用于计算静止配置的完全实用的能量单调迭代方法。数值实验证实了理论发现并说明了弹性窄带的定性行为。
更新日期:2020-01-01
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