Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model
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Publication:6145914
DOI10.1002/zamm.201800329OpenAlexW2964892907WikidataQ127729731 ScholiaQ127729731MaRDI QIDQ6145914
Cun-Fa Gao, Hai Qing, Pei Zhang
Publication date: 9 January 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.201800329
Thin bodies, structures (74Kxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Elastic materials (74Bxx)
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Cites Work
- Unnamed Item
- Unnamed Item
- Experiments and theory in strain gradient elasticity.
- A unified integro-differential nonlocal model
- Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
- Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams
- Comment on the paper ``Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams
- Bending and buckling of general laminated curved beams using NURBS-based isogeometric analysis
- Couple stress based strain gradient theory for elasticity
- Analysis of curved beams using a new differential transformation based curved beam element
- Linear theory of nonlocal elasticity and dispersion of plane waves
- Nonlocal Continuum Field Theories
- Buckling and postbuckling of single-walled carbon nanotubes based on a nonlocal Timoshenko beam model
- Nonlocal elasticity and related variational principles
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