Theory and computation of higher gradient elasticity theories based on action principles
In continuum mechanics, there exists a unique theory for elasticity, which includes the first
gradient of displacement. The corresponding generalization of elasticity is referred to as …
gradient of displacement. The corresponding generalization of elasticity is referred to as …
Energy approach to brittle fracture in strain-gradient modelling
L Placidi, E Barchiesi - Proceedings of the Royal Society …, 2018 - royalsocietypublishing.org
In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …
[HTML][HTML] A study about the impact of the topological arrangement of fibers on fiber-reinforced composites: some guidelines aiming at the development of new ultra-stiff …
Fiber-reinforced composites are materials that display a great potentiality in many
applications for their multifaceted features. The employment of curved fibers contributes to …
applications for their multifaceted features. The employment of curved fibers contributes to …
[HTML][HTML] Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum
Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …
phenomena. However, the challenge in identification of corresponding constitutive …
Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis
By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …
scale (macroscale) can be produced showing a lattice substructure of micrometer …
Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation
E Barchiesi, SR Eugster… - … and Mechanics of …, 2020 - journals.sagepub.com
Bi-pantographic fabrics are composed of two families of pantographic beams and
correspond to a class of architectured materials that are described in plane as second …
correspond to a class of architectured materials that are described in plane as second …
[HTML][HTML] On the validation of homogenized modeling for bi-pantographic metamaterials via digital image correlation
The derivation by variational asymptotic homogenization of a 2D-continuum model
describing large elastic planar deformations of a discrete bi-pantographic structure is …
describing large elastic planar deformations of a discrete bi-pantographic structure is …
A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko …
Among the most studied models in mathematical physics, Timoshenko beam is outstanding
for its importance in technological applications. Therefore it has been extensively studied …
for its importance in technological applications. Therefore it has been extensively studied …
Equilibria determination of elastic articulated duoskelion beams in 2D via a Riks-type algorithm
The overall behavior of an articulated beam structure constituted by elements arranged
according to a specific chirality is studied. The structure as a whole, due to its slenderness …
according to a specific chirality is studied. The structure as a whole, due to its slenderness …
Granular micromechanics‐based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations
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 …
values of second gradient elastic parameters are not widely available due to lack of …