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<p>In this paper, we extend the multi-time-step coupling model (Zhong et al. in Eng Fract Mech 307:110264, 2024) to the nonlinear situation to capture the dynamic response of the structure under impact. The classic Johnson-Cook (JC) equation is modified for ductile fracture of bonds in peridynamics, which can characterize the rate-dependent and plastic behavior of the material well. The coupling is achieved by limiting peridynamic modeling to the fracture or plastic domain of a given structure, while adapting a small time step in time integral process, thereby reducing computational costs. On this basis, a polynomial constitutive relation of bonds is validated and we simulated the wave propagation in four different microstructures and compared the amplitude of input and output points. Besides, a 33% amplitude attenuation is achieved in a three-dimensional lattice structure. The significant amplitude reduction verify the capability of the proposed model.</p>

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A rate-dependent peridynamic model for ductile material via multi-time-step integral

  • 期刊论文

  • 发表日期：

    2026年1月14日

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  • Jiandong Zhong,
  • Fei Han

摘要

In this paper, we extend the multi-time-step coupling model (Zhong et al. in Eng Fract Mech 307:110264, 2024) to the nonlinear situation to capture the dynamic response of the structure under impact. The classic Johnson-Cook (JC) equation is modified for ductile fracture of bonds in peridynamics, which can characterize the rate-dependent and plastic behavior of the material well. The coupling is achieved by limiting peridynamic modeling to the fracture or plastic domain of a given structure, while adapting a small time step in time integral process, thereby reducing computational costs. On this basis, a polynomial constitutive relation of bonds is validated and we simulated the wave propagation in four different microstructures and compared the amplitude of input and output points. Besides, a 33% amplitude attenuation is achieved in a three-dimensional lattice structure. The significant amplitude reduction verify the capability of the proposed model.