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<p>This paper introduces a novel algorithmic model that simulates cracks in various materials, loadings, and boundary conditions. The new model can complete fracture simulations in just 1&#xa0;s for 2D scenarios and 22&#xa0;s for 3D scenarios. The highly efficient algorithm is based on an innovative computational framework of the peridynamic method, featuring reformulated peridynamics equations and a new scheme for bond shape and arrangement. Beyond its remarkable speed, the new model also improves the stability of peridynamics by removing divergence problems, since it is independent of horizon size or radius. The algorithm has been rigorously tested, validated against experimental data, and benchmarked against other numerical models across a range of problems. Furthermore, its high efficiency is clearly demonstrated when benchmarked against other methods.</p>

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Fracture modeling in materials using a new and efficient computational framework of peridynamics

  • 期刊论文

  • 发表日期：

    2025年10月16日

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  • Daud Ali Abdoh

摘要

This paper introduces a novel algorithmic model that simulates cracks in various materials, loadings, and boundary conditions. The new model can complete fracture simulations in just 1 s for 2D scenarios and 22 s for 3D scenarios. The highly efficient algorithm is based on an innovative computational framework of the peridynamic method, featuring reformulated peridynamics equations and a new scheme for bond shape and arrangement. Beyond its remarkable speed, the new model also improves the stability of peridynamics by removing divergence problems, since it is independent of horizon size or radius. The algorithm has been rigorously tested, validated against experimental data, and benchmarked against other numerical models across a range of problems. Furthermore, its high efficiency is clearly demonstrated when benchmarked against other methods.