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...

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 Through reduction of thickness value in nanostructures, the features surface elasticity become more prominent due to having a high surface-to-volume ratio. The main aim this research work was examine residual stress effect on three-dimensional nonlinear stability characteristics geometrically perfect and imperfect cylindrical shells at nanoscale under axial compression. To do so, an un...

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...

Interfacial energy plays an important role in equilibrium morphologies of nanosized microstructures of solid materials due to the high interface-to-volume ratio, and can no longer be neglected as it does in conventional mechanics analysis. The present work develops an effective numerical approach by means of a hybrid smoothed extended finite element/level set method to model nanoscale inhomogen...

it has been revealed that the surface stress effect plays an important role in the mechanical behavior ofstructures (such as bending, buckling and vibration) when their dimensions are on the order ofnanometer. in addition, recent advances in nanotechnology have proposed several applications fornanoscale shells in different fields. hence, in the present article, within the framework of surfaceel...

Abstract: The paper concerns the existence of weak solutions to the Cahn-Hilliard-Gurtin system coupled with nonstationary elasticity. The system describes phase separation process in elastically stressed material. It generalizes the Cahn-Hilliard equation by admitting a more general structure and by coupling diffusive and elastic effects. The system is studied with the help of a singularly per...

One of the assumptions Linear Elastic Fracture Mechanics is that crack faces are traction-free or, at most, loaded by bounded tractions. The standard Irwin’s closure integral, widely used for computation Energy Release Rate, also relies upon this assumption. However, there practical situations where load acting on boundaries singular. This case, instance, in hydraulic fracturing, fluid inside e...

On the Thermodynamics of Chemically Reacting Fluid Mixtures by Morton E. Gurtin This paper develops a thermodynamical theory of chemically reacting, but inviscid, fluid mixtures. Restrictions placed on the constitutive equations by the second law are found. in particular, it is shown that the stress-diffusion matrix is symmetric. ON THE THERMODYNAMICS OF CHEMICALLY REACTING FLUID MIXTURES by Mo...