Variational theory for spatial rods
Variational theory for spatial rods
复制标题
空间杆的变分理论
DOI：
10.1007/bf00042633
复制
发表时间：
1993
影响因子：
2
通讯作者：
M. Faulkner
中科院分区：
文献类型：
--
作者：
D. Steigmann;M. Faulkner
在变分条件下，给出了空间杆的最简单理论，并推导了势能最小的若干必要条件。这些包括Weierstrass和Legendre不等式，它们要求描述曲率和扭转的向量属于应变能函数的凸域。
The simplest theory of spatial rods is presented in a variational setting and certain necessary conditions for minimizers of the potential energy are derived. These include the Weierstrass and Legendre inequalities, which require that the vector describing curvature and twist belong to a domain of convexity of the strain energy function.