Stability of nanobeams and nanoplates with defects

DOI10.12697/ACUTM.2021.25.15zbMath1487.74043OpenAlexW3216285413MaRDI QIDQ5061868

Jaan Lellep, Hina Arif

Publication date: 14 March 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2021.25.15

zbMATH Keywords

bucklingcrackcritical buckling loadcritical stressEringen nonlocal elasticitystepped Euler-Bernoulli nanobeam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Plates (74K20) Micromechanics of solids (74M25) Bifurcation and buckling (74G60)

Cites Work

• Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory
• Nonlocal theories for bending, buckling and vibration of beams
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• On boundary conditions for buckling and vibration of nonlocal beams
• A nonlocal beam theory for bending, buckling, and vibration of nanobeams
• A general nonlocal nonlinear model for buckling of nanobeams
• Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory
• Application of differential quadrature method in free vibration analysis of nanobeams based on various nonlocal theories
• ANALYTICAL SOLUTIONS FOR VIBRATION OF SIMPLY SUPPORTED NONLOCAL NANOBEAMS WITH AN AXIAL FORCE
• Buckling of Beams and Columns with Defects
• Nonlocal Continuum Field Theories
• Nonlocal elasticity and related variational principles

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