Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending
DOI10.1002/zamm.202000152OpenAlexW3129073364MaRDI QIDQ6149661
Paolo Fuschi, Aurora Angela Pisano, Castrenze Polizzotto
Publication date: 5 March 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.202000152
boundary effectsEuler-Bernoulli beamsize effectsnonlocal differential elasticitynonlocal integral elasticity
Thin bodies, structures (74Kxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Elastic materials (74Bxx)
Related Items (3)
Cites Work
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- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Nonlocal theories for bending, buckling and vibration of beams
- Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
- Higher-order nonlocal gradient elasticity: a consistent variational theory
- Uniqueness of initial-boundary value problems in nonlocal elasticity
- Wave dispersion in gradient elastic solids and structures: a unified treatment
- A symmetric nonlocal damage theory.
- A unified integro-differential nonlocal model
- Closed form solution for a nonlocal strain gradient rod in tension
- On vibrations of nonlocal rods: boundary conditions, exact solutions and their asymptotics
- Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
- Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
- Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
- Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams
- Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
- Nonlocal elasticity in nanobeams: the stress-driven integral model
- Buckling analysis of Euler-Bernoulli beams using Eringen's two-phase nonlocal model
- A strain-difference-based nonlocal elasticity model
- Reissner stationary variational principle for nonlocal strain gradient theory of elasticity
- Closed form solution for a nonlocal elastic bar in tension.
- Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
- A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
- A nonhomogeneous nonlocal elasticity model
- On the consistency of the nonlocal strain gradient elasticity
- An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene
- On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
- On first strain-gradient theories in linear elasticity
- Linear theory of nonlocal elasticity and dispersion of plane waves
- Surface effects on the bending, buckling and free vibration analysis of magneto-electro-elastic beams
- Nonlocal Continuum Field Theories
- Nonlocal elasticity and related variational principles
- Analytical solutions of static bending of curved Timoshenko microbeams using Eringen's two‐phase local/nonlocal integral model
- Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model
- On formulation of nonlocal elasticity problems
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