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 …
Kirchhoff–Love shells within strain gradient elasticity: Weak and strong formulations and an H3-conforming isogeometric implementation
A strain gradient elasticity model for shells of arbitrary geometry is derived for the first time.
The Kirchhoff–Love shell kinematics is employed in the context of a one-parameter …
The Kirchhoff–Love shell kinematics is employed in the context of a one-parameter …
A phase-field fracture model based on strain gradient elasticity
The conventional phase-field crack propagation models utilize the classical Cauchy
continuum theory to approximate the elastic energy contribution to the total potential energy …
continuum theory to approximate the elastic energy contribution to the total potential energy …
[HTML][HTML] Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures
In the present work, we combine Mindlin's strain gradient elasticity theory and Gudmundson–
Gurtin–Anand strain gradient plasticity theory to form a unified framework. The gradient …
Gurtin–Anand strain gradient plasticity theory to form a unified framework. The gradient …
A phase field model for fracture based on the strain gradient elasticity theory with hybrid formulation
B Zhang, J Luo - Engineering Fracture Mechanics, 2021 - Elsevier
In this paper, a novel phase field (PF) model for fracture is developed in the framework of
strain gradient elasticity. The strain energy decomposition methods initially proposed for …
strain gradient elasticity. The strain energy decomposition methods initially proposed for …
[PDF][PDF] p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity
A mixed finite element formulation is developed for the general 2D plane strain, linear
isotropic gradient elasticity problem. Form II of dipolar strain gradient theory for micro …
isotropic gradient elasticity problem. Form II of dipolar strain gradient theory for micro …
Overcoming stress singularities: combining phase-field modelling of fracture, strain gradient theory, and isogeometric analysis
R Makvandi - 2021 - repo.bibliothek.uni-halle.de
Originally, the classical continuum mechanics theories are supposed to determine
deformations in ranges from millimeter to meter at the so-called macroscopic scales. In fact …
deformations in ranges from millimeter to meter at the so-called macroscopic scales. In fact …