Numerical Analysis The Stress Singularity Of Inclusion Corner In Composite Materials

In this paper, a corner in an inclusion is the research object, established ad hoc FE eigenanalysis method of one-dimensional, to solve corner singularity index and the angular distribution function. Accurately reflected the neighborhood corner singularity stress field corner of the mixed-hybrid element stiffness matrix equation for composite materials. Set the corners of inclusions hybrid elment modules with the traditional hybrid element of global coupling, a mixture of established corner problem solving global hybrid element matrix equatio.This method entirely dependent on the numerical method,it has good versatility. Corner of inclusion elements will be mixed with traditional global hybrid finite element coupling, to establishment under a mechanical load of corner neighborhood of the singular stress field of high-precision numerical solution.. Basic ideas is:1) Two-dimensional problem of composite materials for the study objectives, to establish solving the mixed neighborhood of corner singularity of the singular stress field index as well as their distribution function of the angle of the matrix characteristic equation of the problem and to seek the issue of high-precision numerical solution.2) Two-dimensional problem of composite materials for the study objectives, use 1)'eigenvalues and ector field, to establish external loads to fill the corner neighborhood of inclusion singularity of stress field distribution in a mixture of corner-hybrid element stiffness matrix.3) Two-dimensional composite materials for the study objectives of plane problems, a traditional hybrid finite element method and 2) the establishment of the mixed hybrid angle by coupling element stiffness matrix, the establishment of external load for solving mixed corner singularity field problem global hybrid finite element equations.4) Rectangular inclusions of composite materials for the study objectives, Use 3) to establish the finite element equations were calculated and discussed the size of a mixture or a mixture of pitch angle of the mixed neighborhood of the singularity of the impact of stress field..In addition, a mixture of rectangular symmetry interface cracks with a mixture of circumstances corner stress intensity factor was studied and a good distribution curve. All alculated results of the example show that this method than that of the original method used by small elements and high accuracy. Through the composite material corner stress intensity factor analysis, it is conducive to the evaluation of the mechanical properties of composite materials.