Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates

292 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A Semi-analytical Method for Vibrational and BucklingAnalysis of Functionally Graded Nanobeams Consideringthe Physical Neutral Axis Position (2015, methodology): “Phadikar and Pradhan (2010) reported finite element formulations for nonlocal elastic Euler–Bernoulli beam and Kirchoff plate theory.”
A Nonlocal Higher-Order Shear Deformation Beam Theory for Vibration Analysis of Size-Dependent Functionally Graded Nanobeams (2015, methodology): “Phadikar and Pradhan [7] reported finite element approach to analysis of Euler Bernoulli beams and Kirchoff plates via nonlocal theory of Eringen.”
Static and stability analysis of nonlocal functionally graded nanobeams (2013, background): “Phadikar and Pradhan [11] presented finite element formulations for nonlocal elastic Euler–Bernoulli beam and Kirchoff plate.”
On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach (2014, background): “This nonself-adjointness explains why nonsymmetrical mass matrix can be derived for Eringen’s nonlocal beam analyses in finite element beam analyses [21].”
Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent functionally graded nanobeams (2016, background): “Pradhan and Murmu [13] © Taylor & Francis Group, LLC investigated the flapwise bending–vibration characteristics of a rotating nanocantilever by using the differential quadrature method (DQM).”