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<p>In the development of solid rocket motors, accurately modeling the confining pressure- and loading rate-dependent fracture behavior of solid propellants is crucial for ensuring the reliability of grain structural design and launch safety. To this end, this study proposes a unified viscoelastic–plastic framework integrating a modified phase-field model with a generalized Maxwell model and a von Mises type yield criterion. Thermodynamic consistency is rigorously verified through theoretical derivation. For physically meaningful and numerically robust incorporation of viscosity and plasticity into the phase-field model, an additional parameter is introduced to characterize the viscosity of the material, the Taylor–Quinney coefficient is adopted to quantify rate-dependent storage of plastic energy, a dilative/compactive energy decomposition approach is developed to incorporate confining pressure effects, and an adaptive time-stepping strategy is employed to enhance computational efficiency in finite element implementation. The predictive capability of this framework is comprehensively demonstrated via experimental validation and numerical simulations, confirming its successful capture of the force-displacement constitutive relationships dependent on the confining pressure and loading rate under both tension and compression. Furthermore, the morphology of the fracture under different conditions is accurately predicted: tensile opening fracture without confining pressure, tensile ductile fracture with confining pressure, and compressive shear fracture without confining pressure.</p>

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Coupled phase-field and viscoplasticity modeling of ductile fracture in solid propellants under confining pressure and strain rate effects

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • Yuan Mei,
  • Daokui Li,
  • Weijing Wu,
  • Shiming Zhou,
  • Zhibin Shen

摘要

In the development of solid rocket motors, accurately modeling the confining pressure- and loading rate-dependent fracture behavior of solid propellants is crucial for ensuring the reliability of grain structural design and launch safety. To this end, this study proposes a unified viscoelastic–plastic framework integrating a modified phase-field model with a generalized Maxwell model and a von Mises type yield criterion. Thermodynamic consistency is rigorously verified through theoretical derivation. For physically meaningful and numerically robust incorporation of viscosity and plasticity into the phase-field model, an additional parameter is introduced to characterize the viscosity of the material, the Taylor–Quinney coefficient is adopted to quantify rate-dependent storage of plastic energy, a dilative/compactive energy decomposition approach is developed to incorporate confining pressure effects, and an adaptive time-stepping strategy is employed to enhance computational efficiency in finite element implementation. The predictive capability of this framework is comprehensively demonstrated via experimental validation and numerical simulations, confirming its successful capture of the force-displacement constitutive relationships dependent on the confining pressure and loading rate under both tension and compression. Furthermore, the morphology of the fracture under different conditions is accurately predicted: tensile opening fracture without confining pressure, tensile ductile fracture with confining pressure, and compressive shear fracture without confining pressure.