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Simulation implementation of trajectory and intersections of three-dimensional crack growths with displacement discontinuity method

机译：仿真实现轨迹与位移不连续法的三维裂纹生长的实施

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摘要

This paper presents some detailed implementation schemes of geometrical evolution of three dimensional crack growth for most scenarios. These include growth of isolated cracks, intersections of crack growth with body surface or another crack at interior or at front edge. The schemes have been implemented in a crack growth simulator FRACOD(3D), which is based on displacement discontinuity method (DDM) for stress analysis and implements the geometrical evolution of crack growth by explicitly adding new elements along the crack front. For growth of isolated cracks, there is no need to re-mesh the old part of cracks and thus no need to recalculate the related influence coefficients in the new growth steps. For intersection of growth of a crack with body surface or interior of another crack, minimum re-mesh on the body surface or on the other crack is used by just subdividing three elements. Simulations with early versions of the explicit schemes showed that implementation of the geometrical evolution is very challenging in that the growth could lead to very unsmooth crack and affects the further numerical simulations. Some examples show that the new schemes give smooth growth. It is noted that these schemes can also be employed with other stress analysis methods which represents crack growth by adding new elements along the crack front.
机译：本文介绍了大多数情况的三维裂纹增长的几何演化的一些详细实施方案。这些包括孤立的裂缝的生长，裂缝生长与车身表面或内部或前边缘处的另一个裂缝的交叉。该方案已经在裂缝增长模拟器FRACOD（3D）中实现，其基于位移不连续性方法（DDM），用于应力分析，并通过明确地添加沿裂缝前沿的新元素来实现裂缝生长的几何演化。对于孤立裂缝的生长，不需要重新筛选旧部分的裂缝，因此无需重新计算新的增长步骤中的相关影响系数。对于具有身体表面或另一个裂缝内部的裂缝的生长，通过仅细分三个元素使用体表面上或在另一个裂缝上的最小重新啮合。利用早期版本的明确方案的模拟表明，几何演化的实施非常具有挑战性，因为增长可能导致非常不稳定的裂缝并影响进一步的数值模拟。一些例子表明新方案具有平稳的增长。注意，这些方案也可以使用其他应力分析方法，该方法通过沿着裂缝前沿添加新元素来表示裂缝生长。

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