A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out our analysis for a plate subject to mode one loading. The length of the crack is prescribed a priori and is an increasing function of time.

中文翻译：

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非局部弹性动力学和断裂

运用非局部场论的蠕动型理论对脆性断裂问题进行建模。从非局部模型获得的弹性场显示在消失的非局部极限内收敛到与运行裂纹相关的经典平面弹性动力学的解。我们对一种模式加载的平板进行分析。裂纹的长度是事先确定的，并且是时间的函数。