A multiphysics model for triboelectric nanogenerator design with explicit surface roughness representation

📅 2026-04-01
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This study addresses the challenge of accurately coupling surface roughness, real contact area, and electrostatic behavior in triboelectric nanogenerator (TENG) modeling. The authors propose a multiphysics finite element framework that, for the first time, explicitly incorporates experimentally measured surface topographies—replacing conventional idealized or statistical approximations. By coupling mechanical contact simulations with electrostatic analysis, the model calibrates surface charge density using the real contact area ratio and solves a time-varying ordinary differential equation to capture circuit response. This approach significantly enhances simulation accuracy for open-circuit voltage and capacitance, demonstrating superior agreement with experimental results compared to existing analytical models. The framework further enables co-optimization of material, mechanical, and electrical parameters across diverse operating conditions.

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📝 Abstract
The design of triboelectric nanogenerators (TENGs) for efficient energy harvesting requires predictive models that capture the interplay between surface roughness, real contact area, and electrostatic behaviour across diverse tribolayer materials and roughness levels. To address this demand, this paper presents a multiphysics finite element framework that couples mechanical contact analysis with electrostatic simulations, considering exact surface roughness representations rather than idealised statistical approximations. Compared with optical interference microscopy measurements, the framework predicts the real contact area ratio more accurately than analytical models. The proposed approach captures the electrostatic behaviour by scaling the TENG surface charge density with the real contact area ratio between the rough tribolayers, computed for a given mechanical load. This method improves agreement with experiments for open-circuit voltage and capacitance relative to approximate analytical models. To represent the TENG circuit, a time-dependent ordinary differential equation is integrated, enabling evaluation of electrical responses under varying load conditions and elucidating the roles of surface roughness, mechanical load, contact-separation frequency, and resistive load. The framework provides a robust, scalable tool for performance optimisation across dielectric materials, mechanical behaviours, and operating conditions and is readily extendable to other surface-dependent energy-harvesting devices.
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triboelectric nanogenerator
surface roughness
real contact area
multiphysics modeling
energy harvesting
Innovation

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

multiphysics modeling
surface roughness
triboelectric nanogenerator
real contact area
finite element analysis
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Contact MechanicsFracture MechanicsData-driven MechanicsHPC