32 citations · 32 across the 6 of their papers we have counts for
6 papers
Generalized continuum models for analysis of one-dimensional shear deformations in a structural interface with micro-rotations
Aleksey A. Vasiliev, Andrey E. Miroshnichenko, Sergey V. Dmitriev
Generalized continuum models for describing one-dimensional shear deformations of a Cosserat lattice are considered and their application to describing of structural effects essent…
Multi-field approach in mechanics of structural solids
A. A. Vasiliev, S. V. Dmitriev, A. E. Miroshnichenko
We overview the basic concepts, models, and methods related to the multi-field continuum theory of solids with complex structures. The multi-field theory is formulated for structur…
A discrete model and analysis of one dimensional deformations in a structural interface with micro-rotations
Aleksey A. Vasiliev, Andrey E. Miroshnichenko, Massimo Ruzzene
The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into…
Multi-field continuum theory for medium with microscopic rotations
A. A. Vasiliev, S. V. Dmitriev, A. E. Miroshnichenko
We derive the multi-field, micropolar-type continuum theory for the two-dimensional model of crystal having finite-size particles. Continuum theories are usually valid for waves wi…
Multi-field modelling of Cosserat solids
A. A. Vasiliev, A. E. Miroshnichenko
We construct multi-field generalisations of the Cosserat continuum model on the basis of the square lattice model that takes into account rotational degree of freedom of microstruc…
Many-field theory for crystals containing particles with rotational degrees of freedom
S. V. Dmitriev, A. A. Vasiliev, A. E. Miroshnichenko +4
We give a brief review of some generalized continuum theories applied to the crystals with complicated microscopic structure. Three different ways of generalization of the classica…