Accurate prediction of crack extension is crucial for ensuring the structural integrity of metal components exposed to diverse loads. While the Gurson model and its extensions are widely accepted for delineating ductile fracture stages, especially in porous materials with a rigid-perfectly plastic matrix, their efficacy diminishes in the presence of strain-hardening matrices. To address this limitation, our study introduces a robust numerical implementation and assessment of Perrin's model. In contrast to Gurson's approach, Perrin's model incorporates two distinct strain-hardening parameters derived from an intricate analysis of a strain-hardening hollow sphere subjected to axisymmetric loading.

中文翻译：

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掌握艺术：熟练的有限元实施和有限应变下应变硬化多孔延性材料裂纹扩展预测模型的稳健评估

准确预测裂纹扩展对于确保承受不同载荷的金属部件的结构完整性至关重要。虽然 Gurson 模型及其扩展被广泛接受用于描绘延性断裂阶段，特别是在具有刚性-完美塑性基体的多孔材料中，但它们的功效在存在应变硬化基体时会减弱。为了解决这一局限性，我们的研究引入了 Perrin 模型的稳健数值实现和评估。与 Gurson 的方法相反，Perrin 的模型结合了两个不同的应变硬化参数，这些参数源自对轴对称载荷下的应变硬化空心球的复杂分析。