Buckling of granular systems with discrete and gradient elasticity Cosserat continua

To the description of changes of solid particle size in population, the application was proposed of stochastic differential equations and diffusion equations adequate to them making it possible to express the development of these populations in time. Particular relations were derived for some particle size distributions in flow and batch equipments. It was shown that it is expedient to complement the population balances often used for the description of granular systems by a "diffusion" term making it possible to express the effects of random influences in the growth process and/or particle diminution.

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Modelling the flexural waves in a nanoplate based on the fractional order nonlocal strain gradient elasticity and thermoelasticity

Composite Structures ◽

10.1016/j.compstruct.2021.113793 ◽

2021 ◽

Vol 266 ◽

pp. 113793

Author(s):

Yishuang Huang ◽

Peijun Wei

Keyword(s):

Fractional Order ◽

Strain Gradient ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Flexural Waves ◽

Nonlocal Strain Gradient

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Effect of humidity on the static angle in granular systems

Granular Matter ◽

10.1007/s10035-021-01109-2 ◽

2021 ◽

Vol 23 (2) ◽

Author(s):

L. Binda ◽

A. M. Vidales ◽

R. Uñac ◽

Y. L. Roht ◽

I. Gómez-Arriaran ◽

...

Keyword(s):

Granular Systems

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A nonlocal operator method for finite deformation higher-order gradient elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113963 ◽

2021 ◽

Vol 384 ◽

pp. 113963

Author(s):

Huilong Ren ◽

Xiaoying Zhuang ◽

Nguyen-Thoi Trung ◽

Timon Rabczuk

Keyword(s):

Finite Deformation ◽

Gradient Elasticity ◽

Operator Method ◽

Higher Order ◽

Nonlocal Operator

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New insights on homogenization for hexagonal-shaped composites as Cosserat continua

Meccanica ◽

10.1007/s11012-021-01355-x ◽

2021 ◽

Author(s):

Marco Colatosti ◽

Nicholas Fantuzzi ◽

Patrizia Trovalusci ◽

Renato Masiani

Keyword(s):

Continuum Theory ◽

Representative Elementary Volume ◽

Elementary Volume ◽

Displacement Fields ◽

Micropolar Continuum ◽

Rigid Particles ◽

Hexagonal Shape ◽

Classical Models ◽

Elastic Interfaces ◽

Cosserat Continua

AbstractIn this work, particle composite materials with different kind of microstructures are analyzed. Such materials are described as made of rigid particles and elastic interfaces. Rigid particles of arbitrary hexagonal shape are considered and their geometry is described by a limited set of parameters. Three different textures are analyzed and static analyses are performed for a comparison among the solutions of discrete, micropolar (Cosserat) and classical models. In particular, the displacements of the discrete model are compared to the displacement fields of equivalent micropolar and classical continua realized through a homogenization technique, starting from the representative elementary volume detected with a numeric approach. The performed analyses show the effectiveness of adopting the micropolar continuum theory for describing such materials.

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