The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...

In this paper, size-dependent effects on the vibration behavior of Timoshenko microbeams under pre-stress loading embedded in an elastic foundation, using modified strain gradient theory (MSGT) and surface stress effects, were studied. To consider the surface stress effects, the Gurtin–Murdoch continuum mechanical approach was employed. Using Hamilton’s principle, the governing equations of mot...

Nanomaterials have attracted considerable attention during the last two decades, due to their unusual electrical, mechanical and other physical properties as compared with their bulky counterparts. The mechanical properties of nanostructured materials show strong size dependency, which has been explained within the framework of continuum mechanics by including the effects of surface stress. The...

In this study, the free vibration behavior of rotating nanobeam is studied.  Surface effects on the vibration frequencies of nanobeam are considered. To incorporate surface effects, Gurtin–Murdoch model is proposed to satisfy the surface balance equations of the continuum surface elasticity. Differential quadrature method is employed and in order to establish the accuracy and applicability of t...

In this study, the free vibration behavior of rotating nanobeam is studied. Surface effects on the vibration frequencies of nanobeam are considered. To incorporate surface effects, Gurtin–Murdoch model is proposed to satisfy the surface balance equations of the continuum surface elasticity. Differential quadrature method is employed and in order to establish the accuracy and applicability of th...

This paper presents for the first time an extended Mori-Tanaka approach aimed at identifying little-explored piezoelectric response of unidirectional nanoporous composites with energetic surfaces. The interface is simulated using generalized Gurtin-Murdoch coherent model considering nonvanishing in-plane surface stress and electric displacement. analytical solutions Eshelby’s inhomogeneity prob...

This study presents a newly developed size-dependent beam-substrate medium model for bending, buckling, and free-vibration analyses of nanobeams resting on elastic substrate media. The Euler-Bernoulli beam theory describes the beam-section kinematics Winkler-foundation represents interaction between its underlying medium. reformulated strain-gradient elasticity possessing three non-classical ma...

Abstract The objective of this work is inclusion the Steigmann-Ogden interface in Method Conditional Moments to investigate influence surface effects on effective properties random particulate composites. particular focus centered accounting for bending stiffness. To end, notion energy-equivalent inhomogeneity developed Gurtin–Murdoch generalized include contribution. crucial aspect that genera...

due to high surface-to-volume ratio of nanoscale structures, surface stress effects have a significant influence on their behavior. in this paper, a two-dimensional problem for an elastic layer that is bonded to a rigid substrate and subjected to an inclined concentrated line load acting on the surface of the layer is investigated based on gurtin-murdoch continuum model to consider surface stre...