Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have emerged to model and predict crack failure. The phase field method for fracture uses a surrogate damage field to model crack propagation, eliminating the arduous need for explicit crack meshing. In this work a novel numerical framework is proposed for implementing hybrid phase field fracture in heterogeneous materials. The proposed method is based on the “reflux-free” method for solving, in strong form, the equations of linear elasticity on a block-structured adaptive mesh refinement (BSAMR) mesh. The use of BSAMR enables highly efficient and scalable regridding, facilitates the use of temporal subcycling for explicit time integration, and allows for ultra-high refinement at crack boundaries with minimal computational cost. The method is applied to a variety of simple heterogeneous structures: laminates, wavy interfaces, and circular inclusions. In each case a non-dimensionalized parameter study is performed to identify regions of behavior, varying both the geometry of the problem and the relative fracture energy release rate. In the laminate and wavy interface cases, regions of delamination and fracture correspond to simple analytical predictions. For the circular inclusions, the modulus ratio of the inclusion is varied as well as the delamination energy release rate and the problem geometry. In this case, a wide variety of behaviors was observed, including deflection, splitting, delamination, and pure fracture.

断裂是大多数复合工程结构中普遍存在的现象，并且通常是造成灾难性失效的原因。在过去的几十年里，出现了许多建模和预测裂纹失效的方法。断裂的相场方法使用替代损伤场来模拟裂纹扩展，消除了对显式裂纹网格划分的繁琐需求。在这项工作中，提出了一种新的数值框架，用于在异质材料中实现混合相场断裂。所提出的方法基于“无回流”方法，以强形式求解块结构自适应网格细化上的线性弹性方程(BSAMR) 网格。BSAMR 的使用可以实现高效和可扩展的重新网格化，促进使用时间子循环进行显式时间积分，并允许以最小的计算成本在裂缝边界处进行超高细化。该方法适用于各种简单的异质结构：层压板、波浪形界面和圆形夹杂物。在每种情况下，都会进行无量纲化参数研究以识别行为区域，从而改变问题的几何形状和相对断裂能量释放率。在层压和波浪界面的情况下，区域分层和断裂对应于简单的分析预测。对于圆形夹杂物，夹杂物的模量比以及分层能量释放率和问题几何形状不同。在这种情况下，观察到了各种各样的行为，包括偏转、分裂、分层和纯断裂。