Stress Intensity Factor Solution And Damage Research Of Finite Width Plate Based On Peridynamics Theory

Since its birth,Peridynamics Theory has attracted a large number of scholars for its unique advantages in dealing with mechanical problems,especially fracture damage mechanics,with the idea of non-local action.At present,the Peridynamics Theory has established certain criteria for the treatment of linear elasticity,elastic-plastic,viscoelastic,fracture damage prediction(no matter in the treatment of isotropic materials,anisotropic materials and composite materials).The stress,deformation,damage and fracture trend of the structure are obtained accurately by numerical simulation under the framework of Peridynamics Theory.However,in dealing with specific problems,the majority of scholars still need to carry out local detailed research,and many places still need to be revised and perfected.In this thesis,the solution of stress intensity factor and damage propagation of arbitrary crack extension in finite width plate are studied,and the preliminary exploration of visual operation interface is made.The content of this thesis mainly includes the following aspects.First,based on the Peridynamics Theory and combined with the knowledge of fracture mechanics,a simulation program was developed by Visual Studio to solve the stress intensity factor,and the stress intensity factor of the extended crack of any hole(round hole,square hole,hexagonal hole,etc)of the finite width plate was quickly calculated and analyzed.In engineering practice,it is convenient for engineers to quickly judge the safety performance of some structures.In this method,the displacement field near the crack tip is obtained by numerical simulation,and the representative value of apparent stress intensity factor is obtained by selecting several representative points near the crack tip,and then the exact value of stress intensity factor is obtained by mathematical fitting.The method is verified to be reliable and effective.Secondly,based on the theory of Peridynamics,Visual Studio was used to develop the simulation program to establish the fracture damage model of arbitrary crack extension in finite width plate,and its damage propagation trend was simulated numerically.The damage state diagrams of particles at different time steps are drawn by simple processing of the numerical simulation results.The crack propagation trend of the structure can be obtained by comparing the damage state diagrams of different time steps.By comparing the simulation results with the existing ones,it can be concluded that these expansion trends are reliable and effective,and have guiding significance in reality.Thirdly,the preliminary exploration of Visual operation interface on Visual Studio platform.This paper simply designed a visual operation interface,through the classification of different forms of holes,the establishment of different modules,in each module of the sub-module of the corresponding program,you can flexibly choose different forms of cracks for calculation.In addition,the discretization diagram of the model and the local displacement diagram near the crack can be drawn on the operation interface to make a preliminary judgment on the results.This makes the numerical simulation more vivid and easy to understand,and also brings great convenience to the operator.Based on the theory of peridynamics,this thesis studies the stress intensity factor solution and damage trend of any curved hole extension crack in a finite width plate,and develops a visual operation interface.The expected conclusion is obtained and validated,and the effective results are obtained.