A generalized continuum theory and Its relation to micromorphic theory / Youping Chen in Journal of engineering mechanics, Vol. 135 N°3 (Mars 2009)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 135 N°3 (Mars 2009) . - pp. 149-155 Titre : A generalized continuum theory and Its relation to micromorphic theory Type de document : texte imprimé Auteurs : Youping Chen, Auteur ; James Lee, Auteur ; Liming Xiong, Auteur Article en page(s) : pp. 149-155 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Continuum mechanics Theories. Résumé : Classic continuum mechanics views a crystal as a homogeneous and continuous medium, in which the basic structural unit of the crystal is taken without structure and is idealized as point mass. Micromorphic theory views a material as a continuous collection of deformable point particles; each particle has finite size and additional nine internal degrees of freedom describing the stretches and rotations of the particle. This paper presents a multiscale field theory that views a crystalline material as a continuous collection of lattice points, while embedded within each point is a group of discrete atoms. The atomistic formulation of the field theory is briefly introduced. Its relation with the well-known micromorphic theory is derived. The applicability of the classical continuum theory, micromorphic theory, and the generalized continuum field theory is discussed. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JENMDT000 [...] [article] A generalized continuum theory and Its relation to micromorphic theory [texte imprimé] / Youping Chen, Auteur ; James Lee, Auteur ; Liming Xiong, Auteur . - pp. 149-155. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 135 N°3 (Mars 2009) . - pp. 149-155 Mots-clés : Continuum mechanics Theories. Résumé : Classic continuum mechanics views a crystal as a homogeneous and continuous medium, in which the basic structural unit of the crystal is taken without structure and is idealized as point mass. Micromorphic theory views a material as a continuous collection of deformable point particles; each particle has finite size and additional nine internal degrees of freedom describing the stretches and rotations of the particle. This paper presents a multiscale field theory that views a crystalline material as a continuous collection of lattice points, while embedded within each point is a group of discrete atoms. The atomistic formulation of the field theory is briefly introduced. Its relation with the well-known micromorphic theory is derived. The applicability of the classical continuum theory, micromorphic theory, and the generalized continuum field theory is discussed. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JENMDT000 [...]

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