Abstract

Numerous research endeavors have delved into the realm of multi horizon peridynamics frameworks and their connection to the interplay between peridynamic force densities and stress tensors in the field of continuum mechanics. This study introduces an enhanced iteration of the dual horizon peridynamic (DH-PD) model, merging established multi-horizon peridynamic frameworks with equations that specifically establish stress components using peridynamic forces. This pioneering model offers a method to analyze stress within a 2D framework. The new formulation allows for choosing two horizons and concentration of more material points in high-stress areas. By using this dual horizon idea, the model computes faster by focusing on areas of interest while providing accurate results in less crucial areas. The peridynamics equations are solved using a direct integration method. The efficiency of the model is assessed by benchmark problem tests involving a 2D steel plate containing a central hole under uniform tension. The obtained solution is rigorously compared with finite element solutions. This study demonstrates that the extended DH-PD model is capable of computing stress and displacement fields, regardless of whether they are near high-stress concentration zones or in distant areas of the simulated 2D setup. The model showcases its ability to accurately capture the intricate behavior of stress and deformation.