The investigation of the nonlocal longitudinal stress waves with modified couple stress theory

DOI10.1007/s00707-011-0500-4zbMath1304.74029OpenAlexW2101011390MaRDI QIDQ642179

Juan-Miguel Gracia

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00707-011-0500-4

zbMATH Keywords

shear stressHamilton's principlelength scale parameterLove rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Linear waves in solid mechanics (74J05)

Related Items (8)

A more general investigation for the longitudinal stress waves in microrods with initial stress ⋮ Two mode Mindlin-Herrmann rod solution based on modified couple stress theory ⋮ A non-classical Kirchhoff rod model based on the modified couple stress theory ⋮ Axial wave propagation and vibration of nonlocal nanorods with radial deformation and inertia ⋮ General investigation for longitudinal wave propagation under magnetic field effect via nonlocal elasticity ⋮ Modified LSM for size-dependent wave propagation: comparison with modified couple stress theory ⋮ Aifantis versus Lam strain gradient models of Bishop elastic rods ⋮ Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis

Cites Work

• 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
• Variational formulation of a modified couple stress theory and its application to a simple shear problem
• Couple stress based strain gradient theory for elasticity
• Review and Critique of the Stress Gradient Elasticity Theories of Eringen and Aifantis
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