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.

翻译：开发了用于互动裂缝的非当地准静态断裂演变,并提供了支持性数字实例。这种方法是隐含的,以局部静态和固定点方法为基础。可以证明断裂演变会随着裂缝的推进而减少存储的弹性能量,每个负荷步骤都会随着每个负荷步骤的推进而减少;只要选择的负载递增量足够小。数字实例中也可以看到这一点。数字实例包括直裂的演变、L形域内的裂缝传播以及两个内向传播裂缝的抵消。