<p>To provide a more realistic and comprehensive description of the explosion process, this paper proposes a unified framework for modeling the explosion response of materials and structures using the coupled Lagrangian and Eulerian peridynamics. The primary contribution of this work lies in its ability to comprehensively model explosive detonation, propagation of explosive gas, interaction between gas and solid, and induced explosive failure of the solid within the unified framework. Specifically, the Lagrangian peridynamics is employed for the modeling of the solid, while the Eulerian peridynamics is utilized for the gas. Effective coupling between the solid and gas phases is also established within this framework, ensuring rational gas–solid interactions during the explosion process. Additionally, to address the issues of clustering and cavitation that arise from the intense motion of gas points, a displacement correction strategy is implemented for the gas phase. Furthermore, a GPU-accelerated algorithm is developed and integrated into the framework, significantly enhancing the numerical efficiency and scalability. The effectiveness of the proposed model and framework is validated through several typical examples, including the detonation propagation in a one-dimensional TNT slab, propagation of the explosive gas of a two-dimensional disk, and interactions between gas and solid, as well as the solid explosive failure in concrete explosive tests. The presented work offers a promising alternative for further in-depth investigation of explosive problems across diverse scenarios.</p>

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Novel coupled Lagrangian–Eulerian peridynamics: a unified framework for modeling explosive responses with solid and gas interactions

  • Liwei Wu,
  • Han Wang,
  • Junbin Guo,
  • Jianfeng Zhou,
  • Chunlei Shao

摘要

To provide a more realistic and comprehensive description of the explosion process, this paper proposes a unified framework for modeling the explosion response of materials and structures using the coupled Lagrangian and Eulerian peridynamics. The primary contribution of this work lies in its ability to comprehensively model explosive detonation, propagation of explosive gas, interaction between gas and solid, and induced explosive failure of the solid within the unified framework. Specifically, the Lagrangian peridynamics is employed for the modeling of the solid, while the Eulerian peridynamics is utilized for the gas. Effective coupling between the solid and gas phases is also established within this framework, ensuring rational gas–solid interactions during the explosion process. Additionally, to address the issues of clustering and cavitation that arise from the intense motion of gas points, a displacement correction strategy is implemented for the gas phase. Furthermore, a GPU-accelerated algorithm is developed and integrated into the framework, significantly enhancing the numerical efficiency and scalability. The effectiveness of the proposed model and framework is validated through several typical examples, including the detonation propagation in a one-dimensional TNT slab, propagation of the explosive gas of a two-dimensional disk, and interactions between gas and solid, as well as the solid explosive failure in concrete explosive tests. The presented work offers a promising alternative for further in-depth investigation of explosive problems across diverse scenarios.