Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions. I
type: Item
instance of: scholarly article
title: Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions. I
author: Castrenze Polizzotto
author: Paolo Fuschi
author: Aurora Angela Pisano
published in: Mathematics and Mechanics of Complex Systems
publication date: 2023-01-17T00:00:00Z
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74E99
zbMATH DE Number: 7643099
zbMATH Keywords: nonlocal elasticity
zbMATH Keywords: strain gradient elasticity
zbMATH Keywords: size effects
zbMATH Keywords: equivalent integral/differential approaches
MaRDI profile type: Publication
full work available at URL: memocs.2022.10.205
OpenAlex ID: W4311470687
cites work: On the role of gradients in the localization of deformation and fracture
cites work: Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
cites work: Pantographic beam: a complete second gradient 1D-continuum in plane
cites work: Linear theory of nonlocal elasticity and dispersion of plane waves
cites work: Nonlocal Continuum Field Theories
cites work: Higher-order nonlocal gradient elasticity: a consistent variational theory
cites work: Experiments and theory in strain gradient elasticity.
cites work: Post-buckling problems for long elastic beams
cites work: Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
cites work: A structural mechanics approach for the analysis of carbon nanotubes
cites work: Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
cites work: Micro-structure in linear elasticity
cites work: On first strain-gradient theories in linear elasticity
cites work: Absolute and relative size effects within nonlocal strain gradient elastic beam models. II
cites work: Nonlocal elasticity and related variational principles
cites work: Q5386129
cites work: Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
cites work: Elastic materials with couple-stresses
cites work: A size-dependent elastic theory for magneto-electro-elastic materials
cites work: On vibrations of nonlocal rods: boundary conditions, exact solutions and their asymptotics
cites work: Couple stress based strain gradient theory for elasticity
cites work: On the consistency of the nonlocal strain gradient elasticity
cites work: Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity
cites work: Closed form solution for a nonlocal strain gradient rod in tension
DOI: 10.2140/MEMOCS.2022.10.205
description: scientific article; zbMATH DE number 7643099