Optimization of a radial point interpolation meshless strategy for strain gradient nanoplates

DOI10.1016/j.enganabound.2022.03.026OpenAlexW4224100510MaRDI QIDQ2161588

Riccardo Vescovini, Francesco Fabbrocino, Raimondo Luciano, Nicholas Fantuzzi, Serena Saitta

Publication date: 4 August 2022

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.03.026

zbMATH Keywords

genetic algorithmradial point interpolation methodstrain gradient theoryoptimization methodmesh less method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items (3)

A neural network-based approach for bending analysis of strain gradient nanoplates ⋮ Editorial: Special Issue on ``Meshless numerical approaches to mechanics of composite nanoscale and microscale structures ⋮ Size-dependent dynamic stability of nanocomposite enriched micro-shell panels in thermal environment using the modified couple stress theory

Uses Software

• Mfree2D

Cites Work

• Unnamed Item
• Unnamed Item
• A smoothed Hermite radial point interpolation method for thin plate analysis
• Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory
• MATLAB codes for finite element analysis. Solids and structures
• Higher-order nonlocal gradient elasticity: a consistent variational theory
• On the role of gradients in the localization of deformation and fracture
• A matrix triangularization algorithm for the polynomial point interpolation method.
• A size-dependent shear deformation beam model based on the strain gradient elasticity theory
• On the analysis of microbeams
• A gradient elasticity model of Bernoulli-Euler nanobeams in non-isothermal environments
• A fully gradient model for Euler-Bernoulli nanobeams
• Analytical solution for strain gradient elastic Kirchhoff rectangular plates under transverse static loading
• Reissner stationary variational principle for nonlocal strain gradient theory of elasticity
• On the analytical and meshless numerical approaches to mixture stress gradient functionally graded nano-bar in tension
• A mixed variational framework for higher-order unified gradient elasticity
• Analytical and meshless DQM approaches to free vibration analysis of symmetric FGM porous nanobeams with piezoelectric effect
• A node-based smoothed radial point interpolation method with linear strain fields for vibration analysis of solids
• Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations
• Dislocations in second strain gradient elasticity
• A meshfree radial point interpolation method (RPIM) for three-dimensional solids
• A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory
• Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion
• A point interpolation meshless method based on radial basis functions
• Non-local constitutive response of a random laminate subjected to configuration-dependent body force
• A local point interpolation method for static and dynamic analysis of thin beams

This page was built for publication: Optimization of a radial point interpolation meshless strategy for strain gradient nanoplates