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Elastic Theory of Low-Dimensional Continua and Its Applications in Bio- and Nano-Structures

Elastic Theory of Low-Dimensional Continua and Its Applications in Bio- and Nano-Structures

This review presents the elastic theory of low-dimensional (one-and two-dimensional) continua and its applications in bio-and nano-structures.First, the curve and surface theory, as the geometric representation of the low-dimensional continua, is briefly described through Cartan moving frame method.The elastic theory of Kirchhoff rod, Helfrich rod, bending-soften rod, fluid membrane, and …