Nonlocal integral elasticity for third-order small-scale beams

DOI10.1007/s00707-022-03210-wzbMath1493.74061OpenAlexW4281754970MaRDI QIDQ2156218

J. N. Reddy, Francesco Marotti de Sciarra, Raffaele Barretta, Marzia Sara Vaccaro

Publication date: 18 July 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03210-w

zbMATH Keywords

closed-form solutionshear correction factorstress-driven elasticityReddy variational third-order beam theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05) Elastic materials (74B99)

Related Items (1)

Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models

Cites Work

• Unnamed Item
• On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams
• Relationships between bending solutions of classical and shear deformation beam theories
• Nonlocal elasticity in nanobeams: the stress-driven integral model
• On size-dependent mechanics of nanoplates
• Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding
• Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams
• FE analysis of stress and strain fields in finite random composite bodies
• Elasticity theory of materials with long range cohesive forces
• Linear theory of nonlocal elasticity and dispersion of plane waves
• A higher order beam finite element for bending and vibration problems
• A Simple Higher-Order Theory for Laminated Composite Plates
• A new rectangular beam theory
• Non-local constitutive response of a random laminate subjected to configuration-dependent body force
• Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending
• On formulation of nonlocal elasticity problems

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