Integrating Peridynamic Theory with Ground Fissure Mechanics: Application to Songzhuang Ground Fissure Study

Abstract

This study explores the application of Peridynamic (PD) theory in ground fissure modeling and simulation, focusing on the Songzhuang region in Beijing. Traditional methods often encounter difficulties in accurately capturing fissure formation and propagation due to discontinuities at the tips of the crack. The PD model, formulated through integral equations, effectively addresses these issues. It ensures model continuity and considers interactions within a non-local neighborhood of points. First, the study validates the numerical algorithm of the PD model through a two-dimensional tensile test of a plate with a central crack and a simulation of hidden ground fissures in Xi’an. The PD model is then applied to the Songzhuang area. The study integrated field drilling data to simulate fissure development. The results show fissures that grow in the expected direction, with significant subsidence and shear deformation on both sides. These findings provide new information on the impacts of ground fissures. Despite challenges such as high computational demands and the need for further model refinement, the study confirms the broad applicability of PD theory to geohazard mitigation. It also demonstrates the potential of the theory in improving urban planning and improving disaster response strategies.