The combined plastic and discrete fracture deformation framework for finite‐discrete element methods

The combined finite‐discrete element method (FDEM) was originally developed for fracture and fragmentation of brittle materials, more specifically for cementitious and rock‐like materials. In this work, a combination of a discrete crack and plastic deformation has been combined and applied to FDEM simulation of fracture. The deformation is described using a FDEM‐specific mechanistic approach with plastic deformation being formulated in material embedded coordinate systems leading to multiplicative decomposition and plastic flow, that is, resolved in stretch space; this is combined with the FDEM fracture and fragmentation criteria. The result and main novelty of the present work is a robust framework for simulation of large strain solid deformation combined with a multiplicative decomposition‐based model that simultaneously involves elasticity, plasticity, and fracture.

组合的有限 - 离散元方法（FDEM）最初是为脆性材料的断裂和破碎而开发的，更确切地说，是针对水泥质和类岩石材料。在这项工作中，离散裂纹和塑性变形相结合，并应用于断裂的FDEM模拟。变形采用一种特定于FDEM的力学方法来描述，塑性变形在材料嵌入坐标系中构建，导致乘法分解和塑性流动，即在拉伸空间中求解；这与FDEM断裂和破碎准则相结合。本工作的成果和主要创新之处在于一个强大的框架，用于模拟大应变固体变形，并结合一个基于乘法分解的模型，该模型同时涉及弹性、塑性和断裂。