A review of inverse problems for generalized elastic media: formulations, experiments, synthesis
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 …
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
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 …
and vibration phenomena of 2D triangular lattices with the aid of a simplified first strain …
Free vibration analysis of porous plates with porosity distributions in the thickness and in-plane directions using isogeometric approach
Y Xue, G **, X Ma, H Chen, T Ye, M Chen… - International Journal of …, 2019 - Elsevier
The main purpose of this paper is to study the free vibration of porous square plate, circular
plate, and rectangle plate with a central circular hole in the framework of isogeometric …
plate, and rectangle plate with a central circular hole in the framework of isogeometric …
[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 …
Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro-and nano-beam models
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 …
are derived for a pair of Euler–Bernoulli beam bending models following a simplified version …
Anisotropic strain gradient thermoelasticity for cellular structures: Plate models, homogenization and isogeometric analysis
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 …
microarchitecture, the article develops a pair of two-scale plate models relying on the …
[HTML][HTML] Mechanical properties of hierarchical lattice via strain gradient homogenization approach
With the advancement of 3D printing technology, manufacturing metamaterials with extreme
mechanical properties is becoming more feasible. Hierarchical lattices appear to be ideal …
mechanical properties is becoming more feasible. Hierarchical lattices appear to be ideal …
Three-point bending test of pantographic blocks: numerical and experimental investigation
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 …
via both experiments and numerical simulations. In the computational part, the …
Form II of Mindlin's second strain gradient theory of elasticity with a simplification: For materials and structures from nano-to macro-scales
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 …
isotropic materials are first derived. A corresponding simplified formulation is then proposed …
Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
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 …
elasticity for both static and dynamic analysis. Two non-standard variational formulations in …