Implementation of a modified Drucker–Prager model in the lattice spring model for plasticity and fra

Gao-Feng Zhao, Jijian Lian, Adrain Russell, Nasser Khalili

In this work, a general framework is developed for the incorporation of elasto-plastic constitutive models intothe Distinct Lattice Spring Model (DLSM). Within this framework, a smoothed non-associative Drucker-Prager(DP) model is implemented. To verify the model, a number of numerical examples are examined, and the resultsare compared to the analytical solution, numerical solution based on the Finite Volume Method (FVM), and theexperimental results, where available. It is shown that the proposed framework is numerically stable and iscapable of solving elasto-plastic problems while maintaining the general advantages of the LSM technique intacking material fracturing.