Size-dependent vibration of functionally graded curved microbeams based on the modified strain gradient elasticity theory

DOI10.1007/s00419-013-0756-3zbMath1293.74155OpenAlexW2167739302MaRDI QIDQ399019

J. Herrera, H. S. Yoon

Publication date: 19 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-013-0756-3

zbMATH Keywords

functionally graded materialsize effectfree vibrationcurved microbeamsmodified strain gradient theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Elastic materials (74B99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Investigation of the size effects in Timoshenko beams based on the couple stress theory
• Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory
• Static and dynamic analysis of micro beams based on strain gradient elasticity theory
• Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates
• A phenomenological theory for strain gradient effects in plasticity
• Experiments and theory in strain gradient elasticity.
• Couple stress based strain gradient theory for elasticity
• A micro scale Timoshenko beam model based on strain gradient elasticity theory
• Theories of elasticity with couple-stress
• Nonlinear theory of simple micro-elastic solids. I
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• A NONLOCAL CURVED BEAM MODEL BASED ON A MODIFIED COUPLE STRESS THEORY

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