Nonlocal continuum theories of beams for the analysis of carbon nanotubes

By J. Reddy, S. Pang. 2008

782 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/099bdbfbeafdb5c120fa7372e32ab09b0ce7bafe

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams (2012, methodology): “[8], Reddy [17, 19], Reddy and Pang [20], and Aghababei and Reddy [1] have used the Eringen’s differential model to bring out the effect of the internal characteristic parameter on the bending, buckling, and vibration characteristics of beams and plates.”
Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept (2016, background): “…and wave propagation of beam-like elements in micro- or nanoelectromechanical devices (Peddieson et al. 2003, Lu et al. 2006, Wang and Varadan 2006, Reddy and Pang 2008, Benzair et al. 2008, Murmu and Pradhan 2009a, b, c, Adda Bedia et al. 2015, Aissani et al. 2015, Besseghier et al. 2015).”
Free vibration of axially functionally graded Timoshenko beams with non-uniform cross-section (2013, methodology): “Based on the Timoshenko beam theory[20,21], the longitudinal displacement u and deflection w can be expressed as follows:”
Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model (2010, methodology): “It is important to state that the results given by these references [4] related to carbon nanotubes based on beam theory.”
Nonlocal elasticity in nanobeams: the stress-driven integral model (2017, methodology): “This differential formulation was later adopted to analyse simple beam models with standard boundary constraints of structural mechanics ( Aydogdu, 2009; Peddieson, Buchanan, & McNitt, 2003; Reddy, 2007; 2010; Reddy & El-Borgi, 2014; Reddy, El-Borgi, & Romanoff, 2014; Reddy & Pang, 2008 ).”
Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes (2013, background): “…and wave propagation of beam-like elements in micro- or nanoelectromechanical devices (Peddieson et al. 2003, Lu et al. 2006, Wang and Varadan 2006, Reddy and Pang 2008, Murmu and Pradhan 2009a, 2009b, 2009c, Şimşek 2010, 2011, Heireche et al. 2008a, 2008b, 2008c, Tounsi et al. 2008, Tounsi et al.…”