BookDOI
Non-Classical Continuum Mechanics
About:
The article was published on 2017-01-01. It has received 50 citations till now. The article focuses on the topics: Peridynamics & Analytical dynamics.read more
Citations
More filters
Journal ArticleDOI
Non-locality in Granular Flow: Phenomenology and modeling approaches
TL;DR: A range of models that have been proposed to integrate an intrinsic length-scale into granular rheology and include micro-polar modeling, kinetic theory, three particular order-parameter-based models, and strongly non-local integral- based models are discussed.
Journal ArticleDOI
Review on nonlocal continuum mechanics: Physics, material applicability, and mathematics
TL;DR: In this article, the applicability of nonlocal mechanics to multiscale materials and single-scale materials is discussed, and the existing complications of solving nonlocal field problems, and various methods and approaches to overcome these complications are collected and discussed from the physical and material points of view.
Journal ArticleDOI
Transparent anisotropy for the relaxed micromorphic model: Macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo,Angela Madeo,Marco Valerio d'Agostino,Rafael Abreu,Ionel-Dumitrel Ghiba,Patrizio Neff +5 more
TL;DR: In this paper, the authors study the anisotropy classes of the fourth order elastic tensors of the relaxed micromorphic model, also introducing their second order counterpart by using a Voigt-type vector notation.
Posted Content
Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo,Angela Madeo,Marco Valerio d'Agostino,Rafael Abreu,Ionel-Dumitrel Ghiba,Patrizio Neff +5 more
TL;DR: This paper shows that in the limit case $L_c\rightarrow 0$ (which corresponds to considering very large specimens of a microstructured metamaterial the meso- and micro-coefficients of the relaxed model can be put in direct relation with the macroscopic stiffness of the medium via a fundamental homogenization formula.
Journal ArticleDOI
Real wave propagation in the isotropic relaxed micromorphic model
Patrizio Neff,Angela Madeo,Angela Madeo,Gabriele Barbagallo,Marco Valerio d'Agostino,Rafael Abreu,Ionel-Dumitrel Ghiba,Ionel-Dumitrel Ghiba,Ionel-Dumitrel Ghiba +8 more
TL;DR: For the recently introduced isotropic-relaxed micromorphic generalized continuum model, it is shown that, under the assumption of positive-definite energy, planar harmonic waves have real velocity and a necessary and sufficient condition for real wave velocity which is weaker than the positive definiteness of the energy is obtained.