Homogenization of periodic hexa-and tetrachiral cellular solids

A Bacigalupo, L Gambarotta - Composite Structures, 2014 - Elsevier
The homogenization of periodic hexachiral and tetrachiral honeycombs is dealt with two
different techniques. The first is based on a micropolar homogenization. The second …

[HTML][HTML] A reformulation of constitutive relations in the strain gradient elasticity theory for isotropic materials

S Zhou, A Li, B Wang - International Journal of Solids and Structures, 2016 - Elsevier
The general isotropic strain gradient elasticity theory with five higher-order elastic constants
is reformulated by introducing two different orthogonal decompositions of the strain gradient …

Strain gradient elasticity theory of polymer networks

Y Jiang, L Li, Y Hu - Acta Mechanica, 2022 - Springer
In physically (statistically) based theories for rubber-like materials, network models serve as
a bridge that connects chain dynamics to continuum constitutive relations. However, there is …

Auxetic anti-tetrachiral materials: equivalent elastic properties and frequency band-gaps

A Bacigalupo, ML De Bellis - Composite Structures, 2015 - Elsevier
A comprehensive characterization of the novel class of anti-tetrachiral cellular solids, both
considering the static and the dynamic response, is provided in the paper. The …

[HTML][HTML] High frequency multi-field continualization scheme for layered magneto-electro-elastic materials

R Del Toro, ML De Bellis, A Bacigalupo - International Journal of Solids …, 2023 - Elsevier
Abstract Magneto-electro-elastic (MEE) heterogeneous materials with periodic
microstructure are investigated, with special focus on the particular case of a layered MEE …

[HTML][HTML] Uniqueness results for a boundary value problem in dipolar thermoelasticity to model composite materials

M Marin, EM Craciun - Composites Part B: Engineering, 2017 - Elsevier
Composites with microstructure display nonlocal effects and can be effectively modeled
through dipolar elasticity. A mixed initial boundary problem is addressed for dipolar …

Auxetic behavior and acoustic properties of microstructured piezoelectric strain sensors

ML De Bellis, A Bacigalupo - Smart Materials and Structures, 2017 - iopscience.iop.org
The use of multifunctional composite materials adopting piezo-electric periodic cellular
lattice structures with auxetic elastic behavior is a recent and promising solution in the …

A phase field approach for damage propagation in periodic microstructured materials

F Fantoni, A Bacigalupo, M Paggi, J Reinoso - International Journal of …, 2020 - Springer
In the present work, the evolution of damage in periodic composite materials is investigated
through a novel finite element-based multiscale computational approach. The proposed …

The strain gradient elasticity via nonlocal considerations

T Gortsas, DG Aggelis, D Polyzos - International Journal of Solids and …, 2023 - Elsevier
Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories
intensively used over the last fifty years to explain static and dynamic phenomena that …

Three-phase model of particulate composites in second gradient elasticity

Y Solyaev, S Lurie, V Korolenko - European Journal of Mechanics-A/Solids, 2019 - Elsevier
Generalized self-consistent method for particulate composites is realized in the framework of
Mindlin's second gradient elasticity theory (SGET). Effective properties of the …