Adhesive contact of a rigid sphere to finitely stretched substrates

He, Linwen; Ding, Ke

doi:10.1007/s11434-009-0328-7

Cited by 4 publications

(8 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…compression) in the contact plane. These results are in agreement with the analysis of adhesive contact of a sphere on a equiaxially stretched substrate [18] when adhesion is neglected.…”

Section: Non-adhesive Contactsupporting

confidence: 89%

“…A similar form was postulated in the case of adhesive contact of a sphere on an equiaxially stretched substrate by He and Dong [18]. In their analysis, the parameter c would represent the actual radius of the circular contact area.…”

Section: Adhesive Contactmentioning

confidence: 76%

“…In line with the JKR description of adhesion, the above expression represents the superposition of a rigid cylindrical punch displacement and of a non-adhesive indentation. The constant H (1) may be determined from an appropriate estimation of the adhesion energy [18,20]. Alternatively, Maugis and Barquins [26,27] used a fracture mechanics argument jointly with Griffith criterion to fix the value of the constant.…”

Section: Adhesive Contactmentioning

confidence: 99%

“…This approach is found to remain valid until strains become geometrically large but it is only generalizable to 2-D or axisymmetric situations. Here, we make use of the expressions of the Green's function for a neo-Hookean substrate which were recently derived by He [17,18] within the framework of incremental strain theory in order to develop a contact model able to handle non axial stretch situations. Solutions are provided for the contact shape, load and contact stiffness which include the effects of adhesion.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Contact of a spherical probe with a stretched rubber substrate

Frétigny

Chateauminois

2017

Phys. Rev. E

View full text Add to dashboard Cite

We report on a theoretical and experimental investigation of the normal contact of stretched neoHookean substrates with rigid spherical probes. Starting from a published formulation of surface Green's function for incremental displacements on a pre-stretched, neo-Hookean, substrate (L.H. Lee J. Mech. Phys. Sol. 56 (2008) 2957-2971), a model is derived for both adhesive and non-adhesive contacts. The shape of the elliptical contact area together with the contact load and the contact stiffness are predicted as a function of the in-plane stretch ratios λx and λy of the substrate. The validity of this model is assessed by contact experiments carried out using an uniaxally stretched silicone rubber. for stretch ratio below about 1.25, a good agreement is observed between theory and experiments. Above this threshold, some deviations from the theoretical prediction are induced as a result of the departure of the mechanical response of the silicone rubber from the neo-Hokeean description embedded in the model.

show abstract

“…compression) in the contact plane. These results are in agreement with the analysis of adhesive contact of a sphere on a equiaxially stretched substrate [18] when adhesion is neglected.…”

Section: Non-adhesive Contactsupporting

confidence: 89%

Section: Adhesive Contactmentioning

confidence: 76%

Section: Adhesive Contactmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Contact of a spherical probe with a stretched rubber substrate

Frétigny

Chateauminois

2017

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…Chen和Gao [11] 进一步解释了壁虎脚掌黏附、脱黏的非 [12] 研究了微尺度下悬臂、梳齿等典型微结构的黏附失效问题, 并用于指导微系统设计. 材料各向异性 [13] 、弹性梯度 [14,15] 、黏弹性 [16] 、大变形 [17] 等重要因素也被逐步引入到已有的黏附接触模型中, 使得黏附接触理论在基础研究和工程上的应用范围不断扩大. 借鉴Freund [20] 为描述分子键力致断裂发展的分析方法, 可采用类似Kramers扩散过程 [21] 描述热涨落 The theoretical models in adhesive contact mechanics have been successfully applied in fields such as colloidal assembly, drug delivery as well as virus-cell interaction.…”

Section: 固体表面黏附的尺寸效应、层级效应等力学机理unclassified

Adhesive contact mechanics: From deterministic to stochastic description

Lin

Qian

2015

Chin. Sci. Bull.

View full text Add to dashboard Cite

Statistical Pull Off of Nanoparticles Adhering to Compliant Substrates

Lin

Qian

2013

Langmuir

View full text Add to dashboard Cite

It is widely known in adhesive contact mechanics that a spherical particle will not detach from an elastic half-space unless a critical level of pulling force is reached, as already revealed by JKR- or DMT-type deterministic models. This article focuses on the scenario of particle-substrate adhesion where the size of particles is down to the nanometer scale. A consequence of particle size reduction to this range is that the energy scale confining the state of system equilibrium becomes comparable to the unit of thermal energy, leading to statistical particle detachment even below the critical pull-off force. We describe the process by Kramers' theory as a thermally activated escape from an energy well and develop a Smoluchowski partial differential equation that governs the spatial-temporal evolution of the adhesion state in probabilistic terms. These results show that the forced or spontaneous separation of nanometer-sized particles from compliant substrates occurs diffusively and statistically rather than ballistically and deterministically as assumed in existing models.

show abstract

Adhesive contact of a rigid sphere to finitely stretched substrates

Cited by 4 publications

References 7 publications

Contact of a spherical probe with a stretched rubber substrate

Contact of a spherical probe with a stretched rubber substrate

Adhesive contact mechanics: From deterministic to stochastic description

Statistical Pull Off of Nanoparticles Adhering to Compliant Substrates

Contact Info

Product

Resources

About