A unified elasto-viscoplastic peridynamics model for brittle and ductile fractures under high-velocity impact loading

J Zhang and X Liu and QS Yang, INTERNATIONAL JOURNAL OF IMPACT ENGINEERING, 173, 104471 (2023).

DOI: 10.1016/j.ijimpeng.2022.104471

Peridynamics (PD), as an alternative formulation of classical continuum mechanics, is a powerful method for predicting the spontaneous initiation and propagation of cracks. In this paper, a unified elasto- viscoplastic peridynamics model, named the Bodner-Partom theory-based Peridynamics (BPPD) model, is proposed to describe the whole deformation-damage-fracture process for both brittle and ductile materials under impact loadings. It defines the bond-wise elasto- viscoplastic deformation by incorporating the Bodner-Partom's (B-P) constitutive theory into the ordinary state-based PD framework. In BPPD model, the bond deterioration is introduced as an intrinsic variable coupled with the modified B-P theory and the bond fracture is realized by the critical bond stretch model. The proposed BPPD model permits the natural development of plastic deformation and material deterioration, which shares the same vision as PD theory. Equipped with the elastic short-range force contact model, the present study further investigates the modelling capacity of the BPPD model under various impact loadings. Simulations for brittle drop-ball test, Taylor impact test and ballistic penetration test show a good agreement between numerical results and experiment data. The proposed BPPD model can accu-rately capture the whole deformation processes of various impact fractures and thus contribute a new diversity to the development of PD theory and a new perspective to the understanding of material fracture mechanism.

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