Surface Constrained Elastic Rods with Application to the Sphere
Surface Constrained Elastic Rods with Application to the Sphere
复制标题
表面约束弹性杆及其应用于球体
DOI：
10.1007/s10659-015-9555-0
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发表时间：
2016
影响因子：
2
通讯作者：
V. Denoël
中科院分区：
文献类型：
--
作者：
A. Huynen;E. Detournay;V. Denoël
弹性杆和刚性表面之间的单侧接触在许多生物和工程应用中遇到。沿着连续接触，棒的中心线反映约束表面的几何形状。杆轴对表面约束构型的这种限制通过反作用压力进入其局部平衡，这确保了变形和约束几何形状之间的相容性。控制弹性杆静态平衡的经典方程通过以下方式具体化为表面约束配置：（i）根据与约束表面参数化相关的参数空间中的坐标指定杆轴的位置，以及（ii）通过其相对于表面法线的旋转来表征其材料框架的方向。这个公式，它强调了杆的配置和约束的几何形状之间的关系，也导致了反应压力的表达式。然后，通过与已知的弹性曲线的解决方案进行比较，在球面上验证该方法，即，不可伸长且无扭曲杆。
The unilateral contact between an elastic rod and a rigid surface is encountered in numerous biological and engineering applications. Along continuous contacts, the centerline of the rod reflects the geometry of the constraining surface. This restriction of the rod axis to surface bound configurations enters its local equilibrium through a reaction pressure which ensures the compatibility between the deformation and the restraint geometry. The classic equations governing the static equilibrium of elastic rods are particularized to surface bound configurations by (i) specifying the location of the rod axis in terms of its coordinates in the parameter space associated with the constraining surface parameterization, and (ii) characterizing the orientation of its material frame through its rotation with respect to the surface normal. This formulation, which emphasizes the relations between the rod configuration and the geometry of the constraint, also leads to an expression for the reaction pressure. This approach is then validated on a spherical surface by comparing with known solutions for elastic curves, i.e., inextensible and twist free rods.
DOI：
10.1103/physreve.61.747
发表时间：
2000
期刊：
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子：
--
作者：
I. Tobias;D. Swigon;B. D. Coleman
通讯作者：
I. Tobias;D. Swigon;B. D. Coleman
DNA 弹性杆模型及其在单核小体 DNA 小环三级结构中的应用。
影响因子：
3.4
作者：
Swigon,D;Coleman,BD;Tobias,I
通讯作者：
Tobias,I