Elastic fields around a nanosized spheroidal cavity under arbitrary uniform remote loadings

When the size of a cavity shrinks to nanometers, surface effect plays an important role in its mechanical behavior. Based on the surface elasticity, we investigated the elastic fields around a spheroidal cavity embedded in an isotropic elastic medium subjected to arbitrary uniform loadings. Using th...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2009-01, Vol.28 (1), p.110-120
Main Authors: Ou, Z.Y., Wang, G.F., Wang, T.J.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Damage
Displacement
Elastic constants
Elastic field
Exact sciences and technology
Fluid surfaces and fluid-fluid interfaces
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Holes
Nanocomposites
Nanomaterials
Nanostructure
Physics
Potential function
Solid mechanics
Spheroidal cavity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Surface elasticity
Surface energy (surface tension, interface tension, angle of contact, etc.)
Surface tension
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
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Summary:When the size of a cavity shrinks to nanometers, surface effect plays an important role in its mechanical behavior. Based on the surface elasticity, we investigated the elastic fields around a spheroidal cavity embedded in an isotropic elastic medium subjected to arbitrary uniform loadings. Using the displacement potential functions method, we derived the general solution of elastic fields around a nanosized spheroidal cavity with surface effect. For six independent loading cases, the surface effects on the elastic fields around a cavity are presented in detail. It is shown that the elastic fields near a nanosized cavity depend not only on the shape and the size of the cavity but also on the residual surface tension and the surface elastic constants. The surface effect is different in different locations of the nanosized spheroidal cavity and under different remote loadings. The present results are clearly different from the classical ones, and are useful to the damage analysis and prediction of the effective moduli of heterogeneous materials containing nanosized cavities.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2008.05.001