Elastic Analysis for Nanocontact Problem with Surface Stress Effects under Shear Load

Lei, Dongxia; Wang, L. Y.; Ou, Zhiying

doi:10.1155/2012/505034

Cited by 12 publications

(3 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For composites containing nano-sized inhomogeneities, the accommodation of surface or interface energy predicted the size-dependent effective moduli [4] [5]. Using of surface elasticity theory, Lei et al [6] studied the effects of surface stress on the contact problem at nanometers, in which the contact mechanical properties are remarkably different from those in bulk solids.…”

Section: Introductionmentioning

confidence: 99%

Surface Effects on the Diffraction of P Wave by an Arbitrary Shaped Cavity

Ou¹,

Han²

2019

OJAppS

View full text Add to dashboard Cite

This paper presents the effects of surface effects in the cavity of variable curvature. The wave function expansion method and the conformal mapping method are used in the solution of dynamic stress concentration factor around an irregularly shaped cavity at nano-scale. The stress boundary conditions on the surface are obtained by using the generalized Young-Laplace equation. The results show that the degree of stress concentration becomes more obvious with curvature increasing. Taking the elliptical cavity as an example, the influence of the ration of the major and minor axis of the ellipse, the numbers of the incident wave and the surface effects on the dynamic stress concentration factor are analyzed. The ration of the major and minor axis, the incident wave frequency and the surface effects show the pronounced effects on the dynamic stress concentration distributions.

show abstract

Section: Introductionmentioning

confidence: 99%

Surface Effects on the Diffraction of P Wave by an Arbitrary Shaped Cavity

Ou¹,

Han²

2019

OJAppS

View full text Add to dashboard Cite

show abstract

“…Intarit et al [13] derived fundamental solutions of an elastic half plane under internal loading and dislocations. An elastic half plane under surface shear loading was also investigated by Lei et al [14]. Recently, a nanocontact problem of layered viscoelastic solids with surface energy effects was presented by Abdel Rahman and Mahmoud [15].…”

Section: Introductionmentioning

confidence: 99%

Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading

Tirapat

Senjuntichai

Rungamornrat

2017

Advances in Materials Science and Engineering

View full text Add to dashboard Cite

This paper presents the analysis of a layered elastic half space under the action of axisymmetric surface loading and the influence of the surface energy effects. The boundary value problems for the bulk and the surface are formulated based on classical linear elasticity and a complete Gurtin-Murdoch constitutive relation. An analytical technique using Love’s representation and the Hankel integral transform is employed to derive an integral-form solution for both displacement and stress fields. An efficient numerical quadrature is then applied to accurately evaluate all involved integrals. Selected numerical results are presented to portray the influence of various parameters on elastic fields. Numerical results indicate that the surface stress displays a significant influence on both displacement and stress fields. It is also found that the layered half space becomes stiffer with the presence of surface stresses. In addition, unlike the classical elasticity solution, size-dependent behavior of elastic fields is noted. The present analytical solutions provide fundamental understanding of the influence of surface energy on layered elastic materials. It can also be used as a benchmark solution for the development of numerical techniques such as FEM and BEM, for analysis of more complex problems involving a layered medium under the influence of surface energy effects.

show abstract

“…Long and Wang [17] studied the effect of the residual surface stress on the two dimensional Hertz contact problem, and later Long et al [18] generalized their work to the three dimensional case. Wang [19] derived the general analytical solution of nano-contact problem with surface effects by using the complex variable function method. Gao et al [20] [21] derived the influence of the surface stress on the JKR adhesive contact, which is investigated by employing the non-classical Boussinesq fundamental solutions.…”

Section: Introductionmentioning

confidence: 99%

Nano-Contact Problem with Surface Effects on Triangle Distribution Loading

Wang¹,

Han²,

Wang³

et al. 2016

JAMP

View full text Add to dashboard Cite

This work presents a theoretical study of contact problem. The Fourier integral transform method based on the surface elasticity theory is adopted to derive the fundamental solution for the contact problem with surface effects, in which both the surface tension and the surface elasticity are considered. As a special case, the deformation induced by a triangle distribution force is discussed in detail. The results are compared with those of the classical contact problem. At nano-scale, the contributions of the surface tension and the surface elasticity to the stress and displacement are not equal at the contact surface. The surface tension plays a major role to the normal stress, whereas the shear stress is mainly affected by the surface elasticity. In addition, the hardness of material depends strongly on the surface effects. This study is helpful to characterize and measure the mechanical properties of soft materials through nanoindentation.

show abstract

Elastic Analysis for Nanocontact Problem with Surface Stress Effects under Shear Load

Cited by 12 publications

References 28 publications

Surface Effects on the Diffraction of P Wave by an Arbitrary Shaped Cavity

Surface Effects on the Diffraction of P Wave by an Arbitrary Shaped Cavity

Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading

Nano-Contact Problem with Surface Effects on Triangle Distribution Loading

Contact Info

Product

Resources

About