Review on nonlocal continuum mechanics: physics, material applicability, and mathematics
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …
number of particles each of which is a point that can only move and interact with its nearest …
Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis
The prime objective of the present investigation is to analyze the nonlinear buckling and
postbuckling characteristics of micro/nano-plates made of a porous functionally graded …
postbuckling characteristics of micro/nano-plates made of a porous functionally graded …
[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 …
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 …
microarchitecture, the article develops a pair of two-scale plate models relying on the …
Three-point bending test of pantographic blocks: numerical and experimental investigation
ME Yildizdag, E Barchiesi… - … and Mechanics of …, 2020 - journals.sagepub.com
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 …
Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements
A second gradient theory for woven fabrics is applied to Kirchhoff–Love shell elements to
analyze the mechanics of fiber reinforced composite materials. In particular, we assume a …
analyze the mechanics of fiber reinforced composite materials. In particular, we assume a …
[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 …
beam structures possessing a triangular lattice microarchitecture. The validity of generalized …
Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification
D Molavitabrizi, S Khakalo, R Bengtsson… - Continuum Mechanics …, 2023 - Springer
The literature in the field of higher-order homogenization is mainly focused on 2-D models
aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice …
aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice …
[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 …
cellular plates with equitriangularly prismatic microarchitectures by adopting a dimensionally …
[HTML][HTML] Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory
Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is
investigated by employing somewhat non-standard finite element methods. The main goal is …
investigated by employing somewhat non-standard finite element methods. The main goal is …