Abstract Phase-Field (PF) methods of fracture have emerged as powerful modeling tools for triggering fracture events in solids. These numerical techniques efficiently alleviate mesh dependent pathologies and are very suitable for characterizing brittle as well as quasi-brittle fracture in a wide range of engineering materials and structures including fiber reinforced composites. In this work, a multi phase-field model relying on the Puck’s failure theory is proposed for triggering intra-laminar cracking in long fiber reinforced composites. The current formulation encompasses the differentiation of fiber and inter-fiber (matrix-dominated) failure phenomena via the consideration of two independent phase-field damage-like variables, and the corresponding evolution equations and length scales. Moreover, for matrix-dominated deformation states, the present formulations endow the incorporation of plastic effects via an invariant-based plasticity model. Special attention is also devoted to its finite element implementation, which is conducted using the user-defined capabilities UMAT and UEL of ABAQUS , in conjunction with the thorough assessment of its thermodynamic consistency. Several representative applications pinpoint the applicability of the proposed computational tool.

中文翻译：

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基于Puck失效理论的长纤维增强复合材料多相场断裂模型

摘要 断裂的相场 (PF) 方法已成为触发固体断裂事件的强大建模工具。这些数值技术有效地缓解了网格相关的病理状况，非常适合表征包括纤维增强复合材料在内的各种工程材料和结构中的脆性和准脆性断裂。在这项工作中，提出了一种基于 Puck 失效理论的多相场模型，用于触发长纤维增强复合材料的层内开裂。当前的公式包括通过考虑两个独立的相场损伤类变量以及相应的演化方程和长度尺度来区分纤维和纤维间（基质主导）失效现象。此外，对于基体主导的变形状态，本配方通过基于不变量的可塑性模型赋予塑性效应。还特别关注其有限元实现，该实现是使用 ABAQUS 的用户定义功能 UMAT 和 UEL 进行的，并结合对其热力学一致性的全面评估。几个有代表性的应用程序指出了所提出的计算工具的适用性。