On generalized Cosserat-type theories of plates and shells: a short review and bibliography

J Altenbach, H Altenbach, VA Eremeyev - Archive of Applied Mechanics, 2010 - Springer
One of the research direction of Horst Lippmann during his whole scientific career was
devoted to the possibilities to explain complex material behavior by generalized continua …

Material symmetry group and constitutive equations of micropolar anisotropic elastic solids

VA Eremeyev… - … and Mechanics of Solids, 2016 - journals.sagepub.com
We discuss the material symmetry group of the micropolar continuum and related
consistently simplified constitutive equations. Following Eremeyev and Pietraszkiewicz (Int J …

On mechanically driven biological stimulus for bone remodeling as a diffusive phenomenon

I Giorgio, F Dell'Isola, U Andreaus, F Alzahrani… - … and modeling in …, 2019 - Springer
In the past years, many attempts have been made in order to model the process of bone
remodeling. This process is complex, as it is governed by not yet completely understood …

Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization

P Neff, B Eidel, MV d'Agostino, A Madeo - Journal of Elasticity, 2020 - Springer
We rigorously determine the scale-independent short range elastic parameters in the
relaxed micromorphic generalized continuum model for a given periodic microstructure. This …

Micropolar continuum modelling of bi-dimensional tetrachiral lattices

Y Chen, XN Liu, GK Hu, QP Sun… - Proceedings of the …, 2014 - royalsocietypublishing.org
The in-plane behaviour of tetrachiral lattices should be characterized by bi-dimensional
orthotropic material owing to the existence of two orthogonal axes of rotational symmetry …

[HTML][HTML] Size effects in lattice structures and a comparison to micropolar elasticity

M Yoder, L Thompson, J Summers - International Journal of Solids and …, 2018 - Elsevier
This work models periodic thin walled cellular materials using either a discrete beam
element lattice model or nominally equivalent micropolar elastic model. When the material …

On the effective properties of foams in the framework of the couple stress theory

A Skrzat, VA Eremeyev - Continuum Mechanics and Thermodynamics, 2020 - Springer
In the framework of the couple stress theory, we discuss the effective elastic properties of a
metal open-cell foam. In this theory, we have the couple stress tensor, but the microrotations …

Acceleration waves and ellipticity in thermoelastic micropolar media

H Altenbach, VA Eremeyev, LP Lebedev… - Archive of Applied …, 2010 - Springer
Acceleration waves in nonlinear thermoelastic micropolar media are considered. We
establish the kinematic and dynamic compatibility relations for a singular surface of order 2 …

Sliding frictional contact analysis of an elastic solid with couple stresses

HX Song, LL Ke, YS Wang - International Journal of Mechanical Sciences, 2017 - Elsevier
This paper investigates the two-dimensional sliding frictional contact of an elastic solid in the
plane strain state based on the theory of the couple stress elasticity. This theory introduces …

On the micro-macro relation for the microdeformation in the homogenization towards micromorphic and micropolar continua

G Hütter - Journal of the Mechanics and Physics of Solids, 2019 - Elsevier
The modeling of size effects requires to employ generalized continuum theories. For
instance, the micromorphic theory introduces the microdeformation χ ̰ as additional …