One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: close form solution and consistent size effect

DOI10.1016/J.APM.2020.07.058zbMath1485.74054OpenAlexW3047747239MaRDI QIDQ822052

Cun-Fa Gao, Hai Qing, Pei-Liang Bian

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.07.058

zbMATH Keywords

Laplace transformFredholm integral equationVolterra integral equationfree vibrationmicrobarsize-dependent modelelastostatic tension

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Bifurcation and buckling (74G60)

Related Items (6)

Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model ⋮ Two-phase nonlocal integral models with a bi-Helmholtz averaging kernel for nanorods ⋮ Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model ⋮ Structural behaviours of zigzag and armchair nanobeams using finite element doublet mechanics ⋮ Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models ⋮ Nonlocal gradient integral models with a bi-Helmholtz averaging kernel for functionally graded beams

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