An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

Abstract

A seepage model based on smoothed particle hydrodynamics (SPH) was developed for the seepage simulation of pore water in porous rock mass media. Then, the effectiveness of the seepage model was proved by a two-dimensional seepage benchmark example. Under the framework of SPH based on the total Lagrangian formula, an extended hydro-mechanical coupling model (EHM-TLF-SPH) was proposed to simulate the crack propagation and coalescence process of rock samples with prefabricated flaws under hydraulic and compressive loads. In the SPH program, the Lagrangian kernel was used to approximate the equations of motion of particles. Then, the influence of flaw water pressure on crack propagation and coalescence models of rock samples with single or two parallel prefabricated flaws was studied by two numerical examples. The simulation results agreed well with the test results, verifying the validity and accuracy of the EHM-TLF-SPH model. The results showed that with the increase in flaw water pressure, the crack initiation angle and stress of the wing crack decreased gradually. The crack initiation location of the wing crack moved to the prefabricated flaw tip, while the crack initiation location of the shear crack was far away from the prefabricated flaw tip. In addition, the influence of the permeability coefficient and flaw water pressure on the osmotic pressure was also investigated, which revealed the fracturing mechanism of hydraulic cracking engineering.

Fatigue and Fracture Behavior of Composite Materials

“…In the present Special Issue, the contributions can be divided into different topics: those aimed at modelling the composite behaviour [1,2], those aimed at evaluating the material response via classic [3,4] and innovative methodologies involving the use of experimental techniques [5][6][7], and one focused on presenting new functions for composite repair [8].…”

“…The presence of voids and pores affects the fatigue response of materials, and it is important to have a model that simulates the phenomenon as close as possible to the physics. In the work of Mu et al [2], a seepage model based on smoothed particle hydrodynamics (SPH) was developed for the seepage simulation of pore water in porous rock mass media. The adopted theoretical methodology led to the development of an extended hydro-mechanical coupling model to simulate the crack propagation and coalescence process of rock samples with prefabricated flaws undergoing hydraulic and compressive loads.…”

Numerical Simulation Analysis of Fracture Propagation in Rock Based on Smooth Particle Hydrodynamics

“…Mu proposed an SPH method that considers the coupling of water-kinetic damage. This method is used to simulate the crack propagation and merging processes in rocks with prefabricated defects under compression and the influence of defect water pressure [33].…”