Elastic interaction between force dipoles on a stretchable substrate

He, Liangguo

doi:10.1016/j.jmps.2008.07.002

Cited by 23 publications

(21 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to establish the contact equations, we take advantage of the work by He [17] who derived a surface Green function for incremental displacements on a pre-stretched incompressible substrate obeying a neo-Hookean constitutive law. Using this approach, the characteristics of the contact are deduced below under the assumptions that the contact is frictionless and that the coupling between normal pressure and lateral displacements -which does not cancel, contrarily to the elastic case -has negligible effects on the results.…”

Section: Contact Modelmentioning

confidence: 99%

“…Normal displacements on the pre-stretched substrate can be accounted for by using the appropriate Green tensor coefficient G zz , which can be written in the two-dimensional Fourier transform space as [17] …”

Section: Contact Modelmentioning

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 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

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

Section: Contact Modelmentioning

confidence: 99%

Section: Contact Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

“…For convenience, the soft elastic film is considered neo-Hookean and incompressible, possessing elastic isotropy in the stress-free state. In this case it can be shown that the strain energy density function R of the film can be written as (He, 2008) …”

Section: Model Formulationmentioning

confidence: 99%

“…The usual summation convention for repeated indices is adopted, with Latin indices ranging from 1 to 3 and Greek ones taking values of 1 and 2. The stress s ij is asymmetric, relating to the displacement u i by (He, 2008) …”

Section: Model Formulationmentioning

confidence: 99%

Deformation and buckling of a pre-stretched soft elastic film induced by spatially modulated electric fields

2010

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tWe study mechanical response of a uniaxially pre-stretched soft elastic film to spatially modulated electric fields. The film is adhered onto a rigid, conductive substrate, and the electric field is generated through a periodically patterned electrode over the film. Our work shows that at low applied voltages the deformation of the film follows the pattern of the electrode, allowing for the transfer of the surface morphology of the electrode onto the film surface in opposite sign. However, when the voltage reaches a threshold, the film buckles to form stripped pattern parallel to the tensile direction. This newly resulting deformation is superposed on that before onset of buckling, leading to complicated and ordered topography of the film. The phenomenon may provide a new clue for creating ordered surface structures with the aid of elastic buckling.

show abstract

Square indentation on a soft elastomer layer with finite thickness

Meng

Qiu

et al. 2022

Acta Mech

View full text Add to dashboard Cite

Elastic interaction between force dipoles on a stretchable substrate

Cited by 23 publications

References 38 publications

Contact of a spherical probe with a stretched rubber substrate

Contact of a spherical probe with a stretched rubber substrate

Deformation and buckling of a pre-stretched soft elastic film induced by spatially modulated electric fields

Square indentation on a soft elastomer layer with finite thickness

Contact Info

Product

Resources

About