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 …

By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

As a first step, variational formulations and governing equations with boundary conditions
are derived for a pair of Euler–Bernoulli beam bending models following a simplified version …

The derivation by variational asymptotic homogenization of a 2D-continuum model
describing large elastic planar deformations of a discrete bi-pantographic structure is …

A variational model describing a one-dimensional mechanical system in which heat
conduction phenomena occur is consistently formulated. Lagrangian variational perspective …

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 …

Sixth-order boundary value problems of a one-parameter gradient-elastic Kirchhoff plate
model are formulated in a weak form within an H 3 Sobolev space setting with the …

The equilibrium forms of pantographic blocks in a three-point bending test are investigated
via both experiments and numerical simulations. In the computational part, the …

The fundamental equations for Form II of Mindlin's second strain gradient elasticity theory for
isotropic materials are first derived. A corresponding simplified formulation is then proposed …

The Timoshenko beam bending problem is formulated in the context of strain gradient
elasticity for both static and dynamic analysis. Two non-standard variational formulations in …