نتایج جستجو برای: gurtin murdoch elasticity theory
تعداد نتایج: 803706 فیلتر نتایج به سال:
Based on the nonlocal Timoshenko beam theory, the dynamic stability of functionally gradded (FG) nanoeams under axial load is studied in thermal environment, with considering surface effect. It is used power law distribution for FGM and the surface stress effects are considered based on Gurtin-Murdoch continuum theory. Using Von Karman geometric nonlinearity, governing equations are derived bas...
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...
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...
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...
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 ...
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...
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 ...
Nanosprings made of metallic or semiconducting materials hold promise for a wide range of important applications. In this letter, we extend the classical Kirchhoff rod model by incorporating surface effects on the mechanical response of quasi–one-dimensional nanomaterials. The refined model is then employed to derive the elastic constants of a nanospring by accounting for the effect of surface ...
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