Discrete and Multifield Models of a Cosserat Chain: One-Period and Two-Period Solutions

作者：Vasiliev A A^*; Dmitriev S V

来源：Russian Physics Journal, 2016, 59(7): 961-970.

DOI：10.1007/s11182-016-0861-1

• Cosserat chain
• multifield model
• medium with microstructure
• lattice vibrations

A multifield theory of bodies with microstructure is developed. As the basic model we take the structural model of a Cosserat chain consisting of particles of rectangular shape. A linear complete discrete model, a linear reduced discrete model, and a nonlinear discrete model are derived and discussed. One-period and two-period solutions are obtained, describing small oscillations of particles in one direction and in different directions. Single-field and two-field, complete and reduced Cosserat models are constructed. It is shown that the singlefield model describes one-period solutions in the chain while the two-field model describes both long-wave one-period and short-wave two-period solutions.

• 出版日期2016-11