Journal ArticleDOI
Homogenization towards chiral Cosserat continua and applications to enhanced Timoshenko beam theories
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TLDR
In this article, a homogenization methodology for the construction of effective Cosserat substitution media for heterogeneous materials is proposed, combining a variational principle in linear elasticity with the extended Hill-Mandel lemma accounting for the introduced generalized kinematics.About:
This article is published in Mechanics of Materials.The article was published on 2021-04-01. It has received 22 citations till now. The article focuses on the topics: Homogenization (chemistry) & Timoshenko beam theory.read more
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Baltimore Lectures on Molecular Dynamics and the Wave Theory of Light: ON THE MOTION PRODUCED IN AN INFINITE ELASTIC SOLID BY THE MOTION THROUGH THE SPACE OCCUPIED BY IT OF A BODY ACTING ON IT ONLY BY ATTRACTION OR REPULSION
Journal ArticleDOI
Construction of micromorphic continua by homogenization based on variational principles
TL;DR: In this paper, a higher-order homogenization scheme for micromorphic media based on variational principles and an extension of the Hill macrohomogeneity condition was proposed.
Journal ArticleDOI
Continualization method of lattice materials and analysis of size effects revisited based on Cosserat models
TL;DR: In this article , a continuous set of kinematic variables representing a Cosserat continuum at the macro-scale is used to quantify the bending moment to curvature relation.
Journal ArticleDOI
A non-classical Bernoulli-Euler beam model based on a simplified micromorphic elasticity theory
TL;DR: In this paper, a non-classical Bernoulli-Euler (B-E) beam model is developed using a simplified micromorphic elasticity theory, which contains seven independent material constants.
Journal ArticleDOI
Shell-to-Beam Numerical Homogenization of 3D Thin-Walled Perforated Beams
TL;DR: In this paper , the authors proposed a shell-to-beam homogenization procedure based on the strain energy equivalence, and allowed for precise and quick determination of all equivalent stiffnesses of a beam (flexural and shear).
References
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Book
The non-linear field theories of mechanics
TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Journal ArticleDOI
Elastic materials with couple-stresses
TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Théorie des corps déformables
TL;DR: Cosserat and Hermann as mentioned in this paper discussed the kinematical and dynamical theories of the flexible line, the flexible surface, and the deformable three-dimensional medium in great detail.