A non-ordinary state-based peridynamics modeling of fractures in quasi-brittle materials

• Published in: International journal of impact engineering Vol. 111; pp. 130 - 146
• Main Authors: Lai, Xin, Liu, Lisheng, Li, Shaofan, Zeleke, Migbar, Liu, Qiwen, Wang, Zhen
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.01.2018; Elsevier BV
• Subjects: Algorithms; Brittle fracture; Brittle materials; Ceramics; Computer simulation; Crack propagation; Damage assessment; Fractures; Impact tests; Johnson–Holmquist model; Mathematical models; Non-local mechanics model; Peridynamics; Propagation; Quasi-brittle materials; Studies; Peridynamics; Ceramics; Johnson–Holmquist model; Brittle fracture; Non-local mechanics model; Quasi-brittle materials
• DOI: 10.1016/j.ijimpeng.2017.08.008
• ISSN: 0734-743X

•A non-ordinary state-based peridynamic model for brittle fracture in ceramics or fracture in quasi-brittle materials is developed.•The modified Johnson Holmquist (JH-2) constitutive and damage model is implemented in peridynamics framework at finite strain with objectivity.•Numerical simulations have been performed to verify and demonstrate the proposed model, including validation cases, edge-on impact experiment, and drop ball test. In this work, we have developed a non-ordinary state-based peridynamics model for brittle fracture in ceramics or fracture in quasi-brittle materials in general. The model is firstly validated by three numerical benchmark tests, and then it is applied to simulate the edge-on impact and drop ball test experiments. We have implemented the modified Johnson Holmquist (JH-2) constitutive damage model into the peridynamics framework at finite strain. Furthermore, the contact algorithm between the projectile and target is discussed. It is shown that the numerical results obtained from peridynamics simulations are in general agreement with those from the experiment. The comparison of experimental and numerical results indicates that the proposed peridynamics model has the ability to capture the damage propagation and other features of the brittle fracture.