A non-ordinary state-based peridynamics formulation for thermoplastic fracture

Abstract

In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD) formulation for thermomechanical brittle and ductile fracture is presented. The Johnson-Cook (JC) constitutive and damage model is used to taken into account plastic hardening, thermal softening and fracture. The formulation is validated by considering two benchmark examples: 1) The Taylor-bar impact and 2) the Kalthoff-Winkler tests. The results show good agreements between the numerical simulations and the experimental results.

A new peridynamic formulation with shear deformation for elastic solid

“…Foster et al [14] incorporated the viscoplasticity in NOSB peridynamics. Amani et al [17] implemented the Johnson-Cook (JC) and damage model based on NOSB peridynamics. Apart from the applications for solid, peridynamics has also been extended to other fields, heat diffusion [18,19,20], plates and shells [21,22,23], composite materials [24] and the nonlocal vector calculus [25].…”

Dual-horizon peridynamics: A stable solution to varying horizons

“…NOSB-PD is capable of simulating the material with advanced constitute models, e.g. viscoplasticity model [20], the Drucker-Prager plasticity model [10] and Johnson-Cook (JC) constitutive model [21].Aside from the pure PD formulation above mentioned, much work was devoted to the coupling of peridynamics with the continuum methods [7,8,[22][23][24]. Such strategies enable to model the fracture domain with PD while other domain modeled with continuum methods.…”

A bond‐based peridynamic model considering effects of particle rotation and shear influence coefficient

“…The SPD model removes the limitation of Poisson's ratio in the original PD theory. Additionally, the SPD model was used to describe the continuous and discontinuous behavior of more comprehensive materials in applications, such as thermoplastic, viscoelasticity, plasticity, visioplasticity, thermoviscoelastic, and finite deformation problems …”

“…The SPD model removes the limitation of Poisson's ratio in the original PD theory. Additionally, the SPD model was used to describe the continuous and discontinuous behavior of more comprehensive materials in applications, such as thermoplastic, 12 viscoelasticity, 13 plasticity, 14 visioplasticity, 15 thermoviscoelastic, 16 and finite deformation problems. 17 As described by Huang et al 18 and Wang et al, 19 the BPD model still has a wide range of applications because of its simplicity compared to the SPD model, and it can be realized more easily in program implementation.…”