Displacement and Stress Computation Using on Dual-Horizon State-based Peridynamics
摘要
This study introduces a dual horizon peridynamic (DH-PD) model that integrates established multi-horizon peridynamic frameworks with stress computation through peridynamic forces. The proposed study analyses displacement and stress component calculations in a 2D framework. The DH-PD framework allows the use of multiple horizons for the purpose of discretization and utilizes a higher density of material points in regions experiencing significant stress concentration. By employing the dual horizon concept, the model achieves faster computations by concentrating material points in areas of interest while minimizing the number of material points in remote regions. The peridynamics equations are solved using an explicit integration scheme. To evaluate the model's performance, the model is tested on a benchmark problem involving a 2D steel plate with multiple central hole configurations subjected to uniform tension. The resulting solution is compared to finite element solutions. The effect of peridynamic parameters dictating the distribution of material points on model accuracy is analysed. The study shows that the DH-PD model demonstrates very good accuracy in displacement and stress fields computation in comparison to FEM results.