Effects of surface tension on the adhesive contact between a hard sphere and a soft substrate

Effect of surface tension on the behavior of adhesive contact based on Lennard–Jones potential law

“…Hui et al (2015) studied the impact of surface tension on the non-slip adhesive contact between a rigid sphere and an incompressible substrate, and proposed a single dimensionless parameter: ω = σ(GR) -2/3 (9πΔγ/4) -1/3 (σ, G, R and Δγ denote surface tension, shear modulus of the substrate, sphere radius and the interfacial work of adhesion respectively) to characterize the transition between JKR theory and Young-Dupre law. Long et al (2016) reconsidered the same problem studied by Hui et al (2015), but without the requirement of non-slip and incompressibility of substrate material, and they presented an explicit relation between the contact radius and the indent depth in the absence of external load, which are more convenient in practical applications.…”

Hallmarks of Life in Single Cell Contact Mechanics: Outstanding Challenges and Perspectives

“…Despite their good performance, they have not gained the widespread popularity of the hertzian models. In the same line of thought and to the author's knowledge, classical models that consider the effect of adhesion, such as the Johnson-Kendall-Roberts (JKR) model (Johnson et al, 1971), the Derjaguin-Muller-Toporow (DMT) model (Derjaguin et al, 1975) or the generalization of Maugis and Pollock (1984), their solutions for different contact geometries and approaches for viscoelastic materials (Popov et al, 2019), as well as derived models (e.g., Hui et al, 2015;Long et al, 2016) have so far not been applied to cells.…”

Effect of surface tension on the behavior of adhesive contact based on Maugis‒Dugdale model

“…Hui et al (2015) studied the effect of surface tension on the non-slip adhesive contact between a rigid sphere and an incompressible substrate, and suggested a single dimensionless parameter: ω = Γ(GR) −2/3 (9πΔγ/4) −1/3 (Γ, G, R and Δγ denote surface tension, shear modulus of the substrate, sphere radius and the interfacial work of adhesion respectively) to characterize the transition between JKR theory and Young-Dupre law. Long et al (2016) reconsidered the same problem arisen by Hui et al (2015), but without the requirement of non-slip and incompressibility of substrate material, and they presented an explicit relation between the contact radius and the indent depth in the absence of external load, which are more convenient in practical applications.…”