Effect of residual surface tension on the stress concentration around a nanosized spheroidal cavity

Ou, Zhiying; Wang, G.F.; Wang, T.J.

doi:10.1016/j.ijengsci.2007.12.008

Cited by 53 publications

(28 citation statements)

References 22 publications

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“…By incorporating surface/interface tension, Sharma and Wheeler [22] investigated the size-dependent elastic field of an ellipsoidal nanoinclusion under a pure dilatation eigenstrain. Ou et al [23] discussed the effect of the residual surface tension on the stress concentration around a nanoscale spheroidal cavity under arbitrary uniform remote loadings. Luo and Wang [24] studied the anti-plane elastic field of an infinite matrix containing a nanoscale elliptical inhomogeneity.…”

Section: Introductionmentioning

confidence: 99%

Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects

Dong

Pan

2011

Engineering Analysis with Boundary Elements

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Section: Introductionmentioning

confidence: 99%

Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects

Dong

Pan

2011

Engineering Analysis with Boundary Elements

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“…For the ith contact pair on the contact interface Γ c , u n is the component of the unilateral normal displacement, g n is the initial gap measured along the outward normal, σ cn is the normal component of the contact stress vector, while σ cT is the tangential component. Equation (11) describes boundary conditions at the contact interface, such that the first inequality represents the compatibility contact constraints, the second inequality states that no tensile normal stresses can be developed throughout the contact interface, while the third condition implies that the contact pressure can only be nonzero when there is contact. The last equation states that no tangential stress (shear stress) is developed throughout the contact interface due to frictionless contact assumption.…”

Section: Problem Statementmentioning

confidence: 99%

“…The size-dependent behavior of nanosized structures cannot be predicted by the classical elasticity theory since there is no intrinsic length scale involved in the classical constitutive laws. This led to great interest in how the size dependency can be considered in the mechanical performance of nanoscale structures [8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Analysis of nanocontact problems of layered viscoelastic solids with surface energy effects under different loading patterns

Rahman

Mahmoud

2015

Acta Mech

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Surface stresses have a remarkable effect on nanocontact response of layered viscoelastic solids, especially under specific loading patterns. In the framework of nonlinear viscoelastic contact mechanics, a numerical model is developed to investigate the quasistatic nanocontact response of elastically layered viscoelastic solids under different loading patterns. The developed model accounts for surface energy effects by adopting the complete Gurtin-Murdoch surface elasticity model. The Schapery's constitutive viscoelastic creep model is used for the stress, strain, and time relationships. The transient term in the creep compliance is expressed by Prony's series. Frictionless contact condition is assumed throughout the contact interface. The equilibrium contact configuration, in which the contact constraints are exactly satisfied without any need for an appropriate value for the penalty parameter, is obtained by using the Lagrange multiplier method in the framework of the Newton-Raphson procedure. The developed model is applied to study and analyze the quasistatic nanocontact response of two different problems under different loading patterns. Results show the significant effect of the type of loading pattern and its rate on the nanocontact response of elastically layered viscoelastic solids.

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“…Their finite Eshelby tensors can be applied in nanotechnology and other related fields. By incorporating the residual surface tension, Ou et al [18] investigated the stress concentration around a nanoscale spheroidal cavity under arbitrary uniform remote loadings. By employing the complex variable method, Luo and Wang [15] presented the anti-plane elastic field of an infinite matrix containing a nanoscale elliptical inhomogeneity.…”

mentioning

confidence: 99%

An integral equation formulation of two- and three-dimensional nanoscale inhomogeneities

Dong

2011

Comput Mech

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An integral equation formulation of two-and three-dimensional infinite isotropic medium with nanoscale inhomogeneities is presented in this paper. The GurtinMurdoch interface constitutive relation is used to model the continuity conditions along the internal interfaces between the matrix and inhomogeneities. The Poisson's ratios of both the matrix and inhomogeneities are assumed to be the same. The proposed integral formulation only contains the unknown interface displacements and their derivatives. In order to solve the nanoscale inhomogeneities, the displacement integral equation is used when the source points are acting on the interfaces between the matrix and inhomogeneities. Thus, the resulting system of equations can be formulated so that the interface displacements can be obtained. Furthermore, the stresses at points being in the matrix and nanoscale inhomogeneities can be calculated using the stress integral equation formulation. Numerical results from the present method are in good agreement with those from the conventional sub-domain boundary element method and the analytical method.

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Effect of residual surface tension on the stress concentration around a nanosized spheroidal cavity

Cited by 53 publications

References 22 publications

Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects

Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects

Analysis of nanocontact problems of layered viscoelastic solids with surface energy effects under different loading patterns

An integral equation formulation of two- and three-dimensional nanoscale inhomogeneities

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