[HTML][HTML] Multi-field approach in mechanics of structural solids

AA Vasiliev, SV Dmitriev, AE Miroshnichenko - International journal of …, 2010 - Elsevier
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 …

Multi-field modeling of a Cosserat lattice: models, wave filtering, and boundary effects

AA Vasiliev, AE Miroshnichenko, SV Dmitriev - European Journal of …, 2014 - Elsevier
Various generalized continuum models are developed to analyze the one-dimensional
shear deformations of a Cosserat lattice. The original discrete model and the derived …

Multifield model for Cosserat media

A Vasiliev, A Miroshnichenko, M Ruzzene - Journal of Mechanics of …, 2008 - msp.org
We construct a two-field higher-order gradient micropolar model for Cosserat media on the
basis of a square lattice of elements with rotational degrees of freedom. This model includes …

Structural and mathematical modeling of Cosserat lattices composed of particles of finite size and with complex connections

AA Vasiliev, IS Pavlov - IOP Conference Series: Materials …, 2018 - iopscience.iop.org
This article provides a brief review of the work and discussion of the problems related to the
discrete structural and generalized continuum models of the Cosserat lattices consisting of …

Multifield modeling of Cosserat lattice dynamics

AA Vasiliev - Acoustical Physics, 2010 - Springer
A two-field and a version of a four-field micropolar modes of a medium with a microstructure
are constructed. A structural model of the Cosserat lattice taking into account both …

[PDF][PDF] Multi-field modelling of short wavelength deformations for Cosserat solids

AE Miroshnichenko, AA Vasiliev - … of the XXIIth International Congress, 25 …, 2008 - Citeseer
We propose the method and derive the hierarchical system of multi-field models, which
describe the elastic properties of Cosserat lattice with an increasing accuracy. We show that …

Multi-cell homogenization of elastic periodic domains

S Gonella, M Ruzzene - … Engineering Congress and …, 2006 - asmedigitalcollection.asme.org
Recently, much attention has been devoted to the application of homogenization methods
for the prediction of the dynamic behavior of periodic domains. One of the most popular …

[PDF][PDF] A POLAR CONTINUUM MODEL OF A COLUMNAR THIN FILM

P Neittaanmäki, T Rossi, K Majava, O Pironneau… - academia.edu
A POLAR CONTINUUM MODEL OF A COLUMNAR THIN FILM Page 1 European Congress on
Computational Methods in Applied Sciences and Engineering ECCOMAS 2004 P. Neittaanmäki …

[图书][B] A directed continuum model of a columnar thin film

CL Randow IV - 2005 - search.proquest.com
As is well known, classical continuum theories fail to adequately describe material behavior
as long-range loads or interactions begin to have a significant effect on the overall behavior …

[PDF][PDF] Алгоритм построения иерархической системы многополевых моделей среды Коссера

АА Васильев, АЕ Мирошниченко - … университета. Серия: Прикладная …, 2007 - core.ac.uk
Введение. Модели континуальной механики эффективно используютсÿ длÿ
моделированиÿ твердых деформируемых тел, составленных из большого количества …