Instability-induced pattern generation in architectured materials—A review of methods

R Azulay, C Combescure, J Dirrenberger - International Journal of Solids …, 2023 - Elsevier
Architectured materials exhibit unconventional properties directly linked to their geometry.
When composed of slender elements, architectured materials can undergo large …

[HTML][HTML] Chirality in 2D Cosserat media related to stretch-micro-rotation coupling with links to granular micromechanics

I Giorgio, F Dell'Isola, A Misra - International Journal of Solids and …, 2020 - Elsevier
Cosserat continuum model has attracted increasing interest for describing the mechanical
behavior of microstructured solids. Existing formulation of Cosserat continuum model often …

[HTML][HTML] Computational second-order homogenization of materials with effective anisotropic strain-gradient behavior

J Yvonnet, N Auffray, V Monchiet - International Journal of Solids and …, 2020 - Elsevier
A computational homogenization method to determine the effective parameters of Mindlin's
Strain Gradient Elasticity (SGE) model from a local heterogeneous Cauchy linear material is …

Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials

L Wu, M Mustafa, J Segurado, L Noels - Computer Methods in Applied …, 2023 - Elsevier
Although “classical” multi-scale methods can capture the behaviour of cellular, including
lattice, materials, when considering lattices or metamaterial local instabilities, corresponding …

Anisotropic strain gradient thermoelasticity for cellular structures: Plate models, homogenization and isogeometric analysis

S Khakalo, J Niiranen - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
For three-dimensional cellular plate-like structures with a triangular (extruded lattice)
microarchitecture, the article develops a pair of two-scale plate models relying on the …

Experimental verification of 2D Cosserat chirality with stretch-micro-rotation coupling in orthotropic metamaterials with granular motif

I Giorgio, F Hild, E Gerami, F Dell'Isola… - Mechanics Research …, 2022 - Elsevier
Chiral effects in 2D Cosserat continuum model may arise from coupling between stretching
deformations and the micro-rotation for hemitropic materials. An orthotropic 2D chiral …

[HTML][HTML] Mechanical properties of hierarchical lattice via strain gradient homogenization approach

H Yang, Z Liu, Y Xia, W Fan, AC Taylor… - Composites Part B …, 2024 - Elsevier
With the advancement of 3D printing technology, manufacturing metamaterials with extreme
mechanical properties is becoming more feasible. Hierarchical lattices appear to be ideal …

[HTML][HTML] Lattice structures as thermoelastic strain gradient metamaterials: Evidence from full-field simulations and applications to functionally step-wise-graded beams

S Khakalo, J Niiranen - Composites Part B: Engineering, 2019 - Elsevier
The present work investigates the mechanical and thermomechanical bending response of
beam structures possessing a triangular lattice microarchitecture. The validity of generalized …

Chiral metamaterial predicted by granular micromechanics: verified with 1D example synthesized using additive manufacturing

A Misra, N Nejadsadeghi, M De Angelo… - Continuum Mechanics …, 2020 - Springer
Granular micromechanics approach (GMA) provides a predictive theory for granular material
behavior by connecting the grain-scale interactions to continuum models. Here, we have …

[HTML][HTML] Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity

N Auffray, QC He, H Le Quang - International Journal of Solids and …, 2019 - Elsevier
Abstract Strain Gradient Elasticity (SGE) is now often used in mechanics and physics, owing
to its capability to model some non-classical phenomena, such as size effects, in materials …