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 …

On modifications of Newton's second law and linear continuum elastodynamics

GW Milton, JR Willis - Proceedings of the Royal Society …, 2007 - royalsocietypublishing.org
In this paper, we suggest a new perspective, where Newton's second law of motion is
replaced by a more general law which is a better approximation for describing the motion of …

Carrera unified formulation (CUF) for the micropolar plates and shells. I. Higher order theory

E Carrera, VV Zozulya - Mechanics of Advanced Materials and …, 2022 - Taylor & Francis
Starting from the variational principle of virtual power for the 3-D equations of the micropolar
theory of elasticity in orthogonal curvilinear coordinates and using generalized series in …

Bending and stability analysis of gradient elastic beams

S Papargyri-Beskou, KG Tsepoura, D Polyzos… - International Journal of …, 2003 - Elsevier
The problems of bending and stability of Bernoulli–Euler beams are solved analytically on
the basis of a simple linear theory of gradient elasticity with surface energy. The governing …

[HTML][HTML] Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem

XL Gao, SK Park - International Journal of Solids and Structures, 2007 - Elsevier
A detailed variational formulation is provided for a simplified strain gradient elasticity theory
by using the principle of minimum total potential energy. This leads to the simultaneous …

[图书][B] Wave processes in solids with microstructure

VI Erofeyev - 2003 - books.google.com
This book systematically discusses the modern theory of propagation and interaction of
elastic waves in solids with microstructure. Mathematical models of solids taking into …

Scale-dependent homogenization of random composites as micropolar continua

P Trovalusci, M Ostoja-Starzewski, ML De Bellis… - European Journal of …, 2015 - Elsevier
A multitude of composite materials ranging from polycrystals to rocks, concrete, and masonry
overwhelmingly display random morphologies. While it is known that a Cosserat …

On the linear theory of micropolar plates

H Altenbach, VA Eremeyev - ZAMM‐Journal of Applied …, 2009 - Wiley Online Library
We discuss the general linear six‐parametric theory of plates based on the direct approach.
We consider the plate as a deformable surface. Each material point of the surface can be …

Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps

A Madeo, P Neff, ID Ghiba, L Placidi, G Rosi - Continuum Mechanics and …, 2015 - Springer
In this paper, the relaxed micromorphic model proposed in Ghiba et al.(Math Mech Solids,
2013), Neff et al.(Contin Mech Thermodyn, 2013) has been used to study wave propagation …

Analytical derivation of Cosserat moduli via homogenization of heterogeneous elastic materials

D Bigoni, WJ Drugan - 2007 - asmedigitalcollection.asme.org
Why do experiments detect Cosserat-elastic effects for porous, but not for stiff-particle-
reinforced, materials? Does homogenization of a heterogeneous Cauchy-elastic material …