A mixed two-phase stress/strain driven elasticity: in applications on static bending, vibration analysis and wave propagation

DOI10.1016/j.euromechsol.2022.104558zbMath1493.74012OpenAlexW4212967523MaRDI QIDQ2134354

Shahin Behdad, Mohammad Mehdi Arefi

Publication date: 3 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2022.104558

zbMATH Keywords

harmonic waveEuler-Bernoulli nanobeamintegral/differential constitutive lawtwo-phase strain-driven local/nonlocal elasticitytwo-phase stress-driven local/nonlocal elasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Linear waves in solid mechanics (74J05) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)

Related Items

A unified high-order model for size-dependent vibration of nanobeam based on nonlocal strain/stress gradient elasticity with surface effect ⋮ Nonlocal gradient mechanics of nanobeams for non-smooth fields ⋮ Unified two-phase nonlocal formulation for vibration of functionally graded beams resting on nonlocal viscoelastic Winkler-Pasternak foundation ⋮ Static and free vibration analysis of functionally graded annular plates using stress-driven nonlocal theory ⋮ On the mechanics of nanobeams on nano-foundations ⋮ Heating process analysis for microplate subjected to moving laser pulse source ⋮ Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• A unified integro-differential nonlocal model
• Closed form solution for a nonlocal strain gradient rod in tension
• Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
• On vibrations of nanobeam systems
• Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams
• Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
• Nonlocal elasticity in nanobeams: the stress-driven integral model
• On vibrations of FG nanobeams
• Nonlocal effects on the dynamic analysis of a viscoelastic nanobeam using a fractional Zener model
• Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity
• A size-dependent elastic theory for magneto-electro-elastic materials
• Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory
• Nonlinear vibration analysis of FG nano-beams resting on elastic foundation in thermal environment using stress-driven nonlocal integral model
• A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
• On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam
• Variational nonlocal gradient elasticity for nano-beams
• On the consistency of the nonlocal strain gradient elasticity
• Elasticity theory of materials with long range cohesive forces
• On nonlocal elasticity
• On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
• Retracted: Combined impact of Cattaneo-Christov double diffusion and radiative heat flux on bio-convective flow of Maxwell liquid configured by a stretched nano-material surface
• Nonlocal Continuum Field Theories
• NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS
• A New Root–Finding Algorithm Using Exponential Series