论文标题
准危机裂缝进化
Quasistatic fracture evolution
论文作者
论文摘要
开发了用于相互作用裂纹的非局部过准裂缝进化，并提供了支持数值示例。该方法是隐式的，并且基于局部平稳性和固定点方法。事实证明，裂缝的演化随着裂缝的前进而随着每个负载步骤减少储存的弹性能。只要选择负载增量足够小。在数值示例中也可以看到这一点。数值示例包括直接裂纹的演变，在L形域内传播的裂纹以及两个向内传播裂纹的偏移。
Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationarity and fixed point methods. It is proved that the fracture evolution decreases stored elastic energy with each load step as the cracks advance; provided the load increments are chosen sufficiently small. This is also seen in the numerical examples. The numerical examples include evolution of a straight crack, a crack propagating inside an L-shaped domain, and two offset inward propagating cracks.
