Anisotropic shrinkage and finite strains in confined frictional contacts
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908558010875904 |
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| author | Ceglie, Marco Mandriota, Cosimo Carbone, Giuseppe Menga, Nicola Chateauminois, Antoine |
| author_facet | Ceglie, Marco Mandriota, Cosimo Carbone, Giuseppe Menga, Nicola Chateauminois, Antoine |
| contents | We report on an experimental investigation of the interplay between friction, contact geometry and finite strains for smooth frictional contacts between rigid spherical glass probes and flat silicone substrates. Using both bulk and layered substrates under various loading conditions (normal force, radius of the probe), we show that shear-induced anisotropic shrinkage of the adhesive contact area under steady-state sliding is an effect of finite-elasticity conditions and is drastically affected by the level of geometric confinement. The resulting non-linear coupling between the normal and lateral directions is also investigated by measuring the changes in the indentation depth (conv. normal load) during the stiction of the adhesive contacts under imposed normal load (conv. indentation depth) conditions, with strong effects of contact confinement. From a comparison with adhesiveless linear contact mechanics calculations, we show that the experimental observations can only be accounted for by the occurrence of finite strains/displacements conditions. Accordingly, measurements of the in-plane surface displacements at the surface of the rubber substrates confirm that strain levels well in the neo-Hookean range are experienced during steady-state frictional sliding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anisotropic shrinkage and finite strains in confined frictional contacts Ceglie, Marco Mandriota, Cosimo Carbone, Giuseppe Menga, Nicola Chateauminois, Antoine Soft Condensed Matter We report on an experimental investigation of the interplay between friction, contact geometry and finite strains for smooth frictional contacts between rigid spherical glass probes and flat silicone substrates. Using both bulk and layered substrates under various loading conditions (normal force, radius of the probe), we show that shear-induced anisotropic shrinkage of the adhesive contact area under steady-state sliding is an effect of finite-elasticity conditions and is drastically affected by the level of geometric confinement. The resulting non-linear coupling between the normal and lateral directions is also investigated by measuring the changes in the indentation depth (conv. normal load) during the stiction of the adhesive contacts under imposed normal load (conv. indentation depth) conditions, with strong effects of contact confinement. From a comparison with adhesiveless linear contact mechanics calculations, we show that the experimental observations can only be accounted for by the occurrence of finite strains/displacements conditions. Accordingly, measurements of the in-plane surface displacements at the surface of the rubber substrates confirm that strain levels well in the neo-Hookean range are experienced during steady-state frictional sliding. |
| title | Anisotropic shrinkage and finite strains in confined frictional contacts |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2509.20313 |