A review of inverse problems for generalized elastic media: formulations, experiments, synthesis

R Fedele, L Placidi, F Fabbrocino - Continuum Mechanics and …, 2024 - Springer
Starting from the seminal works of Toupin, Mindlin and Germain, a wide class of generalized
elastic models have been proposed via the principle of virtual work, by postulating …

Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics

S Khakalo, V Balobanov, J Niiranen - International Journal of Engineering …, 2018 - Elsevier
The present work is devoted to the modelling of strongly size-dependent bending, buckling
and vibration phenomena of 2D triangular lattices with the aid of a simplified first strain …

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 …

Granular micromechanics‐based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations

E Barchiesi, A Misra, L Placidi… - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
Although the primacy and utility of higher‐gradient theories are being increasingly accepted,
values of second gradient elastic parameters are not widely available due to lack of …

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 …

Numerical identification of constitutive parameters in reduced-order bi-dimensional models for pantographic structures: application to out-of-plane buckling

M De Angelo, E Barchiesi, I Giorgio… - Archive of Applied …, 2019 - Springer
Mechanical properties are investigated for a class of microstructured materials with
promising applications. Specifically, we consider a composite material with orthogonal …

A nonlinear Lagrangian particle model for grains assemblies including grain relative rotations

E Turco, F Dell'Isola, A Misra - International Journal for …, 2019 - Wiley Online Library
We formulate a discrete Lagrangian model for a set of interacting grains, which is purely
elastic. The considered degrees of freedom for each grain include placement of barycenter …

The macroscopic behavior of pantographic sheets depends mainly on their microstructure: experimental evidence and qualitative analysis of damage in metallic …

M De Angelo, M Spagnuolo, F D'annibale… - Continuum Mechanics …, 2019 - Springer
Recently the exotic properties of pantographic metamaterials have been investigated, and
various mathematical models (both discrete and continuous) have been introduced …

[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 …

[HTML][HTML] Microarchitecture-dependent nonlinear bending analysis for cellular plates with prismatic corrugated cores via an anisotropic strain gradient plate theory of …

J Torabi, J Niiranen - Engineering Structures, 2021 - Elsevier
This study focuses on the microarchitecture-dependent nonlinear bending behavior of
cellular plates with equitriangularly prismatic microarchitectures by adopting a dimensionally …