Multifield model for cosserat media

Aleksey A. Vasiliev; Andrey E. Miroshnichenko; Massimo Ruzzene

doi:10.2140/jomms.2008.3.1365

Multifield model for cosserat media

Aleksey A. Vasiliev^*, Andrey E. Miroshnichenko, Massimo Ruzzene

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

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 equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.

Original language	English
Pages (from-to)	1365-1382
Number of pages	18
Journal	Journal of Mechanics of Materials and Structures
Volume	3
Issue number	7
DOIs	https://doi.org/10.2140/jomms.2008.3.1365
Publication status	Published - Sept 2008

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10.2140/jomms.2008.3.1365

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title = "Multifield model for cosserat media",

abstract = "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 equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.",

keywords = "Cosserat media, Generalized continuum models, Microstructure, Multifield models, Short wave solution, Wave propagation",

author = "Vasiliev, {Aleksey A.} and Miroshnichenko, {Andrey E.} and Massimo Ruzzene",

year = "2008",

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language = "English",

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journal = "Journal of Mechanics of Materials and Structures",

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T1 - Multifield model for cosserat media

AU - Vasiliev, Aleksey A.

AU - Miroshnichenko, Andrey E.

AU - Ruzzene, Massimo

PY - 2008/9

Y1 - 2008/9

N2 - 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 equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.

AB - 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 equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.

KW - Cosserat media

KW - Generalized continuum models

KW - Microstructure

KW - Multifield models

KW - Short wave solution

KW - Wave propagation

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DO - 10.2140/jomms.2008.3.1365

M3 - Article

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VL - 3

SP - 1365

EP - 1382

JO - Journal of Mechanics of Materials and Structures

JF - Journal of Mechanics of Materials and Structures

IS - 7

ER -

Multifield model for cosserat media

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