Asymptotically consistent size-dependent plate models based on the couple-stress theory with micro-inertia

DOI10.1016/j.euromechsol.2021.104316zbMath1477.74067OpenAlexW3159956820MaRDI QIDQ2049673

Andrea Nobili

Publication date: 27 August 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11380/1257772

zbMATH Keywords

micro-inertiaasymptotic reductioncouple-stress elasticity theoryRayleigh-Lamb wavesize-dependent plate model

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Micromechanics of solids (74M25) Surface waves in solid mechanics (74J15)

Related Items (2)

Veering of Rayleigh–Lamb waves in orthorhombic materials ⋮ Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory

Cites Work

• Unnamed Item
• A non-classical Mindlin plate model based on a modified couple stress theory
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• A new Kirchhoff plate model based on a modified couple stress theory
• On bending of strain gradient elastic micro-plates
• Elastic materials with couple-stresses
• A continuum theory of elastic material surfaces
• A phenomenological theory for strain gradient effects in plasticity
• Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces
• On the gradient strain elasticity theory of plates
• Couple stress based strain gradient theory for elasticity
• Bounds to the pull-in voltage of a MEMS/NEMS beam with surface elasticity
• Antiplane Stoneley waves propagating at the interface between two couple stress elastic materials
• Velocity dispersion in an elastic plate with microstructure: effects of characteristic length in a couple stress model
• Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia
• An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
• Elastic waves in Timoshenko beams: the ‘lost and found’ of an eigenmode
• Generalized Continuum Mechanics: What Do We Mean by That?
• On the Theories of Plates Based on the Cosserat Approach
• A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials
• Rayleigh waves obtained by the indeterminate couple-stress theory

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