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<p>Developing constitutive models linking chain dynamics to the macroscopic viscoelasticity and fracture of polymeric materials remains challenging. This work presents a physics-informed viscoelastic model accounting for the microstructural evolution of free chains. The viscous stress is decomposed into the relaxation effect arising from the transient elongation of free chains and the disentanglement effect resulting from the release of topological constraints. A deformation-dependent relaxation spectrum is introduced through a revised three-chain model to govern the evolution of free-chain relaxation times in response to macroscopic stretches, enabling the present model to address complex deformation states and loading histories. The present model is comprehensively validated against experimental data for various polymeric materials, accurately capturing their viscoelastic mechanical responses. Furthermore, the present model is incorporated into a peridynamics framework, establishing an integrated numerical method for simulating concurrent viscoelastic deformation and fracture. By establishing a physics-based link from chain dynamics to macroscopic viscoelasticity and fracture, this work provides a powerful tool for modulating the time-dependent properties of polymeric materials and offers new insights into the mechanisms governing viscoelasticity and fracture behavior.</p>

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A Physics-Based Viscoelastic Model and Its Peridynamic Implementation for Polymeric Materials

  • 期刊论文

  • 发表日期：

    2026年4月28日

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  • Jun Liu,
  • Zewen Gao,
  • Shuang Liang,
  • Yaxin Zhu,
  • Lv Zhao,
  • Minsheng Huang,
  • Zhenhuan Li

摘要

Developing constitutive models linking chain dynamics to the macroscopic viscoelasticity and fracture of polymeric materials remains challenging. This work presents a physics-informed viscoelastic model accounting for the microstructural evolution of free chains. The viscous stress is decomposed into the relaxation effect arising from the transient elongation of free chains and the disentanglement effect resulting from the release of topological constraints. A deformation-dependent relaxation spectrum is introduced through a revised three-chain model to govern the evolution of free-chain relaxation times in response to macroscopic stretches, enabling the present model to address complex deformation states and loading histories. The present model is comprehensively validated against experimental data for various polymeric materials, accurately capturing their viscoelastic mechanical responses. Furthermore, the present model is incorporated into a peridynamics framework, establishing an integrated numerical method for simulating concurrent viscoelastic deformation and fracture. By establishing a physics-based link from chain dynamics to macroscopic viscoelasticity and fracture, this work provides a powerful tool for modulating the time-dependent properties of polymeric materials and offers new insights into the mechanisms governing viscoelasticity and fracture behavior.