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...

We consider the anti-plane shear waves in a domain consisting of an infinite layer with thin coating lying on elastic half-space. The properties coating, layer, and half-space are assumed to be different. On free upper surface we assume compatibility condition within Gurtin–Murdoch elasticity, whereas at plane interface perfect contact. For this problem there exist two possible regimes related ...

Surface piezoelectricity considering the extended Gurtin--Murdoch coherent interface model has been incorporated into composite cylinder assemblage (CCA), generalized self-consistent method (GSCM), as well multiphysics finite-element micromechanics (MFEM), for simulating size-dependent response of nanoporous materials wherein stress and electric displacement prevail. In case CCA/GSCM model, is ...

Shell-type nanostructures have recently attracted a lot of attention due to their several applications. The surface stress effect plays an important role in the mechanical behavior of such structures because of their large surface-to-volume ratio. In this paper, an analytical approach is presented for analyzing the geometrically nonlinear free vibrations of cylindrical nanoshells. In order ...

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...

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...

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...

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...