A unifying perspective: the relaxed linear micromorphic continuum

P Neff, ID Ghiba, A Madeo, L Placidi, G Rosi - Continuum Mechanics and …, 2014 - Springer
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …

Assessment of atomistic coarse-graining methods

Y Chen, J Zimmerman, A Krivtsov… - International Journal of …, 2011 - Elsevier
This paper reviews classical theories of coarse-graining and gives a short introduction to
representative coarse-grained atomistic models that were developed based on structure …

Atomistic viewpoint of the applicability of microcontinuum theories

Y Chen, JD Lee, A Eskandarian - International journal of solids and …, 2004 - Elsevier
Microcontinuum field theories, including Micromorphic theory, Microstructure theory,
Micropolar theory, Cosserat theory, nonlocal theory and couple stress theory, are the …

A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli …

P Neff, S Forest - Journal of Elasticity, 2007 - Springer
We investigate a geometrically exact generalized continua of micromorphic type in the
sense of Eringen for the phenomenological description of metallic foams. The two-field …

Micromorphic approach to single crystal plasticity and damage

O Aslan, NM Cordero, A Gaubert, S Forest - International Journal of …, 2011 - Elsevier
Eringen's micromorphic approach for materials with microstructure is applied to the plasticity
and damage of single crystals. A plastic microdeformation variable and its rotational part are …

Coarse-grained atomistic simulation of dislocations

L Xiong, G Tucker, DL McDowell, Y Chen - … of the Mechanics and Physics of …, 2011 - Elsevier
This paper presents a new methodology for coarse-grained atomistic simulation of
dislocation dynamics. The methodology combines an atomistic formulation of balance …

Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model

MV d'Agostino, G Barbagallo, ID Ghiba, B Eidel… - Journal of elasticity, 2020 - Springer
In this paper the relaxed micromorphic material model for anisotropic elasticity is used to
describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry …

[HTML][HTML] Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics

G Barbagallo, A Madeo, MV d'Agostino, R Abreu… - International Journal of …, 2017 - Elsevier
In this paper, we study the anisotropy classes of the fourth order elastic tensors of the
relaxed micromorphic model, also introducing their second order counterpart by using a …

Existence of minimizers for a finite-strain micromorphic elastic solid

P Neff - Proceedings of the Royal Society of Edinburgh Section …, 2006 - cambridge.org
We investigate geometrically exact generalized continua of micromorphic type in the sense
of Eringen. The two-field problem for the macrodeformation φ and the affine …

Atomistic formulation of a multiscale field theory for nano/micro solids

Y Chen, J Lee - Philosophical Magazine, 2005 - Taylor & Francis
This paper aims to formulate a field theory for the solution of classical N-body problem. In
this paper, multi-length and time scale material behaviour is addressed from the viewpoint of …