Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis

F Fan, B Safaei, S Sahmani - Thin-Walled Structures, 2021 - Elsevier
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 …

Higher-order modeling of anisogrid composite lattice structures with complex geometries

F Tornabene, M Viscoti, R Dimitri, MA Aiello - Engineering Structures, 2021 - Elsevier
The work investigates the vibration behaviour of anisogrid composite lattice shell structures,
typically formed by a system of geodesic unidirectional composite ribs. A homogenization …

Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro-and nano-beam models

J Niiranen, V Balobanov, J Kiendl… - … and Mechanics of …, 2019 - journals.sagepub.com
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 …

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 …

Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates

J Niiranen, J Kiendl, AH Niemi, A Reali - Computer Methods in Applied …, 2017 - Elsevier
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 …

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 …

Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems

J Niiranen, S Khakalo, V Balobanov… - Computer Methods in …, 2016 - Elsevier
The fourth-order boundary value problems of one parameter gradient-elastic bar and plane
strain/stress models are formulated in a variational form within an H 2 Sobolev space setting …

Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity

V Balobanov, J Niiranen - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
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 …

Higher order finite element models for transient analysis of strain gradient functionally graded microplates

A Karamanli, TP Vo, O Civalek - European Journal of Mechanics-A/Solids, 2023 - Elsevier
In the study, three different higher order finite element models (HOFEMs) are developed to
perform the transient analysis of functionally graded (FG) microplates subjected to different …

A nonlinear Lagrangian particle model for grains assemblies including grain relative rotations

E Turco, F Dell'Isola, A Misra - International Journal for …, 2019 - Wiley Online Library
We formulate a discrete Lagrangian model for a set of interacting grains, which is purely
elastic. The considered degrees of freedom for each grain include placement of barycenter …