Contact mechanics of open-cell foams with macroscopic asperities

• Published in: International journal of solids and structures 2024-05, Vol.294, p.112769, Article 112769
• Main Authors: Wilkinson, A., Crété, J.-P., Job, S., Rachik, M., Dauchez, N.
• Format: Article
• Language: English
• Subjects: Contact stiffness; Greenwood–Williamson model; Hyperelasticity; Kelvin cells; Open-cell foam; Poroelastic material; Pyramidal asperity; Relaxation; Viscoelasticity
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2024.112769

Poroelastic materials mounted against rigid surfaces often result in partial contact between the two, affecting their mechanical interaction. The surface roughness of cellular materials introduces complexity in predicting their behavior due to the interface with partial contact. This interface exhibits a stiffness distinct from the bulk material, which is driven by the surface asperities and the preload. This study conducts compression experiments on an open-cell poroelastic melamine foam, and compares them to finite elements simulations and analytic predictions. The material’s intrinsic stress–strain nonlinearity is accounted for, and an original hyperelastic aging model is proposed to achieve accurate predictions of its compression stiffness across multiple time scales. Predicting the compression stiffness of a macroscopic pyramidal asperity demonstrates a good agreement with the simple analytic solution for an elastic pyramidal geometry. Using a Greenwood–Williamson-like model based on the distribution of asperities of different heights, we propose a method to predict the contact stiffness of a rough surface. Our findings have important implications for understanding and optimizing efficient vibration barriers, resulting from the simple stacking of layers and screens of raw poroelastic materials, a configuration widely adopted in the transportation and civil engineering industries. •Compressed open-cell melamine foam exhibits a nonlinear and time-dependent reaction force well represented by an aging phenomenon.•Macroscopic pyramidal asperities approach a continuous material behavior despite their complex microstructure.•The contact stiffness of an open-cell foam made from multiple macroscopic asperities can be modeled with the proposed analytical method.