On generalized Cosserat-type theories of plates and shells: a short review and bibliography
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 …
devoted to the possibilities to explain complex material behavior by generalized continua …
On modifications of Newton's second law and linear continuum elastodynamics
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 …
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
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 …
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 …
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
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 …
by using the principle of minimum total potential energy. This leads to the simultaneous …
[BOOK][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 …
elastic waves in solids with microstructure. Mathematical models of solids taking into …
Scale-dependent homogenization of random composites as micropolar continua
A multitude of composite materials ranging from polycrystals to rocks, concrete, and masonry
overwhelmingly display random morphologies. While it is known that a Cosserat …
overwhelmingly display random morphologies. While it is known that a Cosserat …
Carrera unified formulation for the micropolar plates
Starting from the variational principle of virtual power for the three-dimensional equations of
the micropolar theory of elasticity and using generalized series in terms of the plate …
the micropolar theory of elasticity and using generalized series in terms of the plate …
On the linear theory of micropolar plates
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 …
We consider the plate as a deformable surface. Each material point of the surface can be …
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 …
reinforced, materials? Does homogenization of a heterogeneous Cauchy-elastic material …