Peridynamics methodology for elasto-viscoplastic ductile fracture

J Zhang and QS Yang and X Liu, ENGINEERING FRACTURE MECHANICS, 277, 108939 (2023).

DOI: 10.1016/j.engfracmech.2022.108939

This paper presents a novel peridynamics (PD) methodology and implementation approach for predicting the ductile fracture of elasto- viscoplastic materials. The proposed analysis model consists of three components: 1) an elasto-viscoplastic constitutive model based on modified Bodner-Partom (BP) constitutive theory; 2) bond damage prediction based on Wang's unified damage theory; 3) crack growth prediction using the PD critical bond stretch criterion. The PD model for BP materials is realized under the ordinary state-based PD framework to define the bond-wise relationship between deformation state and force state. The use of a unified consti-tutive theory endows the present model with the characteristic of no yield criterion. In addition, the non-local nature of the PD framework allows discontinuities to naturally occur, thereby ensuring the present model can capture the initiation and propagation of ductile fracture. Sim-ulations of the standard tension tests and mode-I compact tension tests were carried out to demonstrate the use of the PD model for BP materials in practical problems. Particle-wise in-dicators, representing the intensities of plasticity, damage and fracture, were extracted for post -processing. An in-depth analysis shows that the presented PD model for BP materials can effec- tively reproduce ductile fractures at the macro-scale, allowing a general PD description of ductile behavior, which brings a new outlook for the application of PD methods.

Return to Publications page