Microstructure-dependent couple stress theories of functionally graded beams
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Publication:361539
DOI10.1016/j.jmps.2011.06.008zbMath1270.74114OpenAlexW2122323682MaRDI QIDQ361539
Publication date: 29 August 2013
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0022509611001566
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Investigation of the size effects in Timoshenko beams based on the couple stress theory
- Nonlocal theories for bending, buckling and vibration of beams
- A nonlinear Timoshenko beam formulation based on the modified couple stress theory
- Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration
- Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
- 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
- A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
- Experiments and theory in strain gradient elasticity.
- Nonlinear free vibration of size-dependent functionally graded microbeams
- Bending and stability analysis of gradient elastic beams
- Couple stress based strain gradient theory for elasticity
- Effect of couple-stresses on the elastic bending of beams
- An example of double forces taken from structural analysis
- Structural analysis of gradient elastic components
- On the shear coefficient in Timoshenko's beam theory
- Non-local elastic plate theories
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