scholarly journals Nanoparticles and the influence of interface elasticity

2008 ◽  
Vol 35 (1-3) ◽  
pp. 267-286 ◽  
Author(s):  
Mi Changwen ◽  
Demitris Kouris
Keyword(s):  
Material Properties ◽  
Axial Symmetry ◽  
Outer Boundary ◽  
Elastic Field ◽  
Interface Stress ◽  
Axially Symmetric ◽  
Displacement Potential ◽  
Surface And Interface ◽  
Stress Effects ◽  
Interface Elasticity

In this manuscript, we discuss the influence of surface and interface stress on the elastic field of a nanoparticle, embedded in a finite spherical substrate. We consider an axially symmetric traction field acting along the outer boundary of the substrate and a non-shear uniform eigenstrain field inside the particle. As a result of axial symmetry, two Papkovitch-Neuber displacement potential functions are sufficient to represent the elastic solution. The surface and interface stress effects are fully represented utilizing Gurtin and Murdoch's theory of surface and interface elasticity. These effects modify the traction-continuity boundary conditions associated with the classical continuum elasticity theory. A complete methodology is presented resulting in the solution of the elastostatic Navier's equations. In contrast to the classical solution, the modified version introduces additional dependencies on the size of the nanoparticles as well as the surface and interface material properties.

Analytical Solution for Size-Dependent Elastic Field of a Nanoscale Circular Inhomogeneity

2006 ◽  
Vol 74 (3) ◽  
pp. 568-574 ◽  
Author(s):  
L. Tian ◽  
R. K. N. D. Rajapakse
Keyword(s):  
Analytical Solution ◽  
Elastic Field ◽  
Infinite Matrix ◽  
Surface Residual Stress ◽  
Residual Surface Stress ◽  
Stress Effects ◽  
Size Dependent ◽  
Closed Form Analytical Solution ◽  
Remote Loading ◽  
Interface Elasticity

Two-dimensional elastic field of a nanoscale circular hole/inhomogeneity in an infinite matrix under arbitrary remote loading and a uniform eigenstrain in the inhomogeneity is investigated. The Gurtin–Murdoch surface/interface elasticity model is applied to take into account the surface/interface stress effects. A closed-form analytical solution is obtained by using the complex potential function method of Muskhelishvili. Selected numerical results are presented to investigate the size dependency of the elastic field and the effects of surface elastic moduli and residual surface stress. Stress state is found to depend on the radius of the inhomogeneity/hole, surface elastic constants, surface residual stress, and magnitude of far-field loading.

Stress Effects in Drying Polymer Films

1994 ◽  
Vol 356 ◽  
Author(s):  
S. Y. Tam ◽  
L. E. Scriven ◽  
H. K. Stolarski
Keyword(s):  
Thin Films ◽  
Mass Transfer ◽  
Diffusion Coefficient ◽  
Polymer Films ◽  
Material Properties ◽  
Film Surface ◽  
Viscoplastic Material ◽  
Stress Effects ◽  
Diffusion And Convection ◽  
Extra Stress

AbstractA model is developed to predict the magnitude and pattern of stress due to drying of polymer films. This model combines diffusion-and-convection equation with large deformation elasto-viscoplasticity, utilizing concentration dependent elastic and viscoplastic material properties to better represent the behavior of drying thin films.The results show that the highest stress occurs at film surface where the concentration depletion is the highest. The magnitude of this stress is induced by increasing mass transfer across the film surface but reduced by increasing diffusion coefficient. The edge effect is significant but local, limited to about four film thicknesses. Similarly, change in substrate induces extra stress.

Elastic wave propagation in 2D-FGM hollow cylinders with curved outer surface under moving shock loading using isogeometric analysis

2020 ◽  
pp. 095440622096076
Author(s):  
Ahmad Yavari ◽  
Mohammad Hossein Abolbashari ◽  
Behrooz Hassani
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Hollow Cylinder ◽  
Outer Surface ◽  
Material Properties ◽  
Shock Loading ◽  
Propagation Speed ◽  
Elastic Field ◽  
Functionally Graded ◽  
Elastic Wave Propagation

Analysis of elastic wave propagation in a hollow cylinder with two-dimensional (2D) functionally graded material (FGM) and the curved outer surface under internal moving shock loading is the subject of this study. In the proposed method, there is no restriction on the distribution of material properties, the shape of the outer surface, and the applied shock loading. They are treated with non-uniform rational B-spline (NURBS). The isogeometric approach is developed for solving the problem to ensure precise modeling of the geometry. Also, the Newmark approach is used for full discretization of the isogeometric equations. The distributions of all elastic field quantities are determined for two types of material distributions and shock loadings. The effects of shock loadings, the shape of the outer surface, and the material distribution on the elastic wave are thoroughly examined. Propagation, reflections, and propagation speed inside the hollow cylinder are investigated. It is found that the propagation speeds of elastic waves have a distribution associated with the distribution of the material properties. Also, the shape of the outer surface can affect the amplitude of the elastic wave and the locations of concentration stress. It is concluded that the sonic boom phenomenon occurs in the solids as well as in the air.

scholarly journals Quadratic Integrals of Motion and Stellar Orbits in the Absence of Axial Symmetry of the Potential

1987 ◽  
Vol 127 ◽  
pp. 553-556 ◽  
Author(s):  
G.G. Kuzmin
Keyword(s):  
Explicit Form ◽  
Gravitational Potential ◽  
Axial Symmetry ◽  
Additional Constraint ◽  
Energy Integral ◽  
Axially Symmetric ◽  
Integrals Of Motion ◽  
Stellar Orbits ◽  
The Third ◽  
Time Invariant

As is well known, in the case of an axially symmetric and time-invariant gravitational potential, if the potential satisfies one particular additional constraint, there exist three isolating integrals of motion: the energy integral, the area integral, and the third integral which is quadratic in the velocities. This work discusses the case in which there exist quadratic integrals in the absence of axial symmetry of the potential. Such a case has already been examined by Eddington [1], but in their explicit form, the integrals were introduced by Clark [2].

INTRINSIC SURFACE AND INTERFACE STRESS OF LOW-DIMENSIONAL CRYSTALS

2002 ◽  
Vol 16 (01n02) ◽  
pp. 64-70 ◽  
Author(s):  
Q. JIANG ◽  
D. S. ZHAO ◽  
M. ZHAO
Keyword(s):  
Theoretical Consideration ◽  
Size Dependence ◽  
Interface Energy ◽  
Liquid Interface ◽  
Interface Stress ◽  
Surface And Interface ◽  
Low Dimensional ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Theoretical Results

Based on the theoretical consideration on the size-dependence of solid-liquid interface energy, a model for the intrinsic interface stress of metallic, ionic and semiconductor nanosolid has been developed, free from adjustable parameters. Modeling predictions agree well with experimental observations and other theoretical results.

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