期刊
PHYSICAL REVIEW E
卷 79, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.066602
关键词
force; geometry; group theory; variational techniques
资金
- Engineering and Physical Sciences Research Council [GR/T22926/01] Funding Source: researchfish
We consider geometric variational problems for a functional defined on a curve in a three-dimensional space. The functional is assumed to be written in a form invariant under the group of Euclidean motions. We present the Euler-Lagrange equations as equilibrium equations for the internal force and moment. Examples are discussed to illustrate our approach. This form of the equations particularly serves to promote the study of biofilaments and nanofilaments.
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