Particle Reinforced Composites 3D Voronoi Element Method

Particle reinforced composites have many superior mechanical properties,and have been widely used in the fields of space and automobile.The reinforcement is added to improve the mechanical properties of the material,but at the same time,the fracture and fatigue properties of the material are decreased.The performance of these two aspects is influenced by the size,shape,and spatial distribution of the microstructures,such as inclusions and holes.The Voronoi element method is used to analyze the performance of particle reinforced composites.The Voronoi element method has been well applied in the two-dimensional field.In three-dimensional problems,because of the complexity of microstructures and computing,the research work of the3 D Voronoi element method is less.The main work of this article is as follows:1.No inclusion of 3D Voronoi element method.Constructing 3D Voronoi Cells Without Inclusion based on Principle of minimum complementary energy.The application range of the 17 medium stress form that satisfies the equilibrium equation and the coordination equation is discussed,and the performance evaluation of hybrid elements in various stress forms is given.In addition,the influence of the number of stress function polynomials on the calculation results is also discussed.2.3D Voronoi element method containing inclusions.The basic principle of 3D Voronoi element containing inclusions is introduced,and the effectiveness of the unit is analyzed with ANSYS.Considering the limitations of the inclusion shape,the structure of the 3D Voronoi element containing inclusions is considered to be effective.In addition,the matrix and the inclusion of pure polynomial items on the calculation result is also discussed,can make the minimum stress function number calculation convergence.3.The plastic 3D Voronoi element is constructed,and the validity of the plastic theory in the 3D Voronoi unit is verified by ANSYS.4.The direct homogenization method is used to predict the macroscopic mechanical properties of composite materials.The macroscopic effective elastic modulus and average stress strain curves of composite materials are obtained,and the validity of the direct homogenization method in the paper is given by combining the upper and lower limit method.5.The CPU multi-threaded parallel computation is added to the 3D Voronoi unit,which improves the computational efficiency of the program.The corresponding pre-and post-processing procedures have been compiled to provide a convenient way for the display and comparison of results.