Solving adhesive rough contact problems with Atomic Force Microscope data

📅 2025-04-03
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🤖 AI Summary
To bridge the gap between experimental characterization and computational modeling in adhesive contact on rough surfaces, this study proposes a high-fidelity multiscale numerical framework integrated with atomic force microscopy (AFM) experimental data. Methodologically, local adhesion peak forces and energy dissipation extracted from AFM force–distance curves are used to spatially parameterize the Lennard–Jones potential; furthermore, the MPJR (Maugis–Polishchuk–Johnson–Roberts) interfacial finite element method is extended to concurrently model surface topography, spatially varying adhesive interactions, and bulk heterogeneity (e.g., PS-LDPE). Validation on PS-LDPE samples demonstrates significant improvements in predicting contact pressure, work of separation, and real contact area. This work achieves, for the first time, quantitative embedding of in-situ AFM adhesion measurements into interfacial mechanical models, thereby effectively closing the long-standing disconnect between experimental adhesion characterization and computational contact mechanics.

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📝 Abstract
This study presents an advanced numerical framework that integrates experimentally acquired Atomic Force Microscope (AFM) data into high-fidelity simulations for adhesive rough contact problems, bridging the gap between experimental physics and computational mechanics. The proposed approach extends the eMbedded Profile for Joint Roughness (MPJR) interface finite element method to incorporate both surface topography and spatially varying adhesion properties, imported directly from AFM measurements. The adhesion behavior is modeled using a modified Lennard-Jones potential, which is locally parameterized based on the AFM-extracted adhesion peak force and energy dissipation data. The effectiveness of this method is demonstrated through 2D and 3D finite element simulations of a heterogeneous PS-LDPE (polystyrene matrix with low-density polyethylene inclusions) sample, where the bulk elastic properties are also experimentally characterized via AFM. The results highlight the significance of accounting for both surface adhesion variability and material bulk heterogeneity in accurately predicting contact responses.
Problem

Research questions and friction points this paper is trying to address.

Integrates AFM data into adhesive rough contact simulations
Models adhesion using modified Lennard-Jones potential with AFM parameters
Predicts contact responses considering adhesion variability and material heterogeneity
Innovation

Methods, ideas, or system contributions that make the work stand out.

Integrates AFM data into high-fidelity simulations
Uses MPJR method for surface and adhesion properties
Models adhesion with modified Lennard-Jones potential
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M
M. R. Marulli
IMT School for Advanced Studies Lucca, Piazza San Francesco 19, 56100 Lucca, Italy
J
Jacopo Bonari
Institute for the Protection of Terrestrial Infrastructures, German Aerospace Center (DLR), Rathausallee 12, 53757 Sankt Augustin, Germany
P
P. Pingue
NEST - National Enterprise for nanoScience and nanoTechnology, Scuola Normale Superiore and Istituto Nanoscienze - CNR, Piazza San Silvestro 12, 56127 Pisa, Italy
Marco Paggi
Marco Paggi
Full Professor of Structural Mechanics, IMT Lucca
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