We extend the model-free data-driven paradigm for rate-independent fracture mechanics proposed in Carrara et al. (2020), to rate-dependent fracture and sub-critical fatigue. The problem is formulated by combining the balance governing equations stemming from variational principles with a set of data points that encodes the fracture constitutive behavior of the material. The solution is found as the data point that best satisfies the meta-stability condition as given by the variational procedure and following a distance minimization approach based on closest-point-projection. The approach is tested on different setups adopting different types of rate-dependent fracture and fatigue models affected or not by white noise.

我们扩展了 Carrara 等人提出的与速率无关的断裂力学的无模型数据驱动范式。(2020)，率相关的断裂和亚临界疲劳。该问题是通过将源自变分原理的平衡控制方程与一组对材料的断裂本构行为进行编码的数据点相结合来制定的。解决方案被发现为最能满足由变分过程给出的亚稳定性条件的数据点，并遵循基于最近点投影的距离最小化方法。该方法在采用不同类型的速率相关断裂和疲劳模型的不同设置上进行测试，这些模型受白噪声影响或不受白噪声影响。