Research On Numerical Methods Of Material Reliability Based On Peridynamic Theory

Peridynamic is a new theory of molecular dynamics. The peridynamic equation of motion constructed by integrals of displacements. So, differ from the classic molecular dynamics. Peridynamic theory has some advantages when used it to do the dependability analysis of the material which have discontinuous. In this paper we used the Peridynamic theory to do the dependability analysis with brittle material. In the study, we used the method of Peridynamic theory to constructed the threedimensional discretization form of the material. Choose the suitable integration method. Base on the different load on the material. Work out the initial conditions when it need in the computer programming. Then used the programming software to compile the computer program. In the process of simulation, we must use the software of C programming language and MATLAB to demonstratedthe damage in the different load case and display the tendency of crack grows. Compare the result between workout from Peridynamic an workout from ANSYS to prove that Peridynamic theory have it’s advantages when used it to do the dependability analysis of the brittle material.In this paper, we used the C programming language to do the integral solving which introduce by Peridynamic theory. Introduce the contact of Peridynamic theory and classic molecular dynamics theory. Used the suitable integration method to do the error and efficiency analysis of Peridynamic theory. And introduce how to discrete the material in the Peridynamic theory and how to deal the boundary points in the horizon. Drawing the flow chart when used the Peridynamic theory to analysis the material’s kinestate.By the instance analysis the damage and the tendency of crack grows when concrete h beam structure suffer a fixed load and thin sheet glass suffer an impact load. We can find out the position of the damage and locate the position which need to reinforce.Finally, compare the result workout by Peridynamic and workout by ANSYS to introduce the advantage of the Peridynamic theory.