Analytical solutions of static bending of curved Timoshenko microbeams using Eringen's two‐phase local/nonlocal integral model

DOI10.1002/zamm.201900207OpenAlexW3016634450MaRDI QIDQ6121486

Pei Zhang, Cun-Fa Gao, Hai Qing

Publication date: 27 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201900207

zbMATH Keywords

Laplace transformanalytical solutionsFredholm integral equationscurved Timoshenko microbeamstwo-phase local/nonlocal integral model

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Elastic materials (74Bxx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Related Items (5)

Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model ⋮ Well-posedness of two-phase local/nonlocal integral polar models for consistent axisymmetric bending of circular microplates ⋮ Exact solutions for size-dependent bending of Timoshenko curved beams based on a modified nonlocal strain gradient model ⋮ 2D nonlocal elasticity: Investigation of stress and strain fields in complex shape regions ⋮ Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending

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