Physics – Condensed Matter – Materials Science
Scientific paper
2009-06-29
International Journal of Solids and Structures 47, 510-525 (2010)
Physics
Condensed Matter
Materials Science
25 pages, 18 figures
Scientific paper
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 structural solids by introducing a macrocell consisting of several primitive cells and, accordingly, by increasing the number of vector fields describing the response of the body to external factors. Using this approach, we obtain several continuum models and explore their essential properties by comparison with the original structural models. Static and dynamical problems as well as the stability problems for structural solids are considered. We demonstrate that the multi-field approach gives a way to obtain families of models that generalize classical ones and are valid not only for long-, but also for short-wavelength deformations of the structural solid. Some examples of application of the multi-field theory and directions for its further development are also discussed.
Dmitriev Sergey V.
Miroshnichenko Andrey E.
Vasiliev Aleksey A.
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