Postbuckling characteristics of nanobeams based on the surface elasticity theory

摘要: Abstract In the present paper, an attempt is made to numerically investigate postbuckling response of nanobeams with consideration surface stress effect. To accomplish this, Gurtin–Murdoch elasticity theory exploited incorporate effect into classical Euler–Bernoulli beam theory. The size-dependent governing differential equations are derived and discretized along various end supports by employing principle virtual work generalized quadrature (GDQ) method. Newton’s method applied solve nonlinear aid auxiliary normalizing equation. After solving linearly, obtain each eigenpair in model, linear used as initial value Selected numerical results given show on characteristics nanobeams. It found that increasing thickness nanobeams, equilibrium path obtained developed non-classical model tends one predicted this anticipation same for all selected boundary conditions.