Analysis Of Elasto-Plastic Dynamic Responses Using The Scaled Boundary Finite Element Method

Elasto-plastic materials have been widely used in practical engineering structures. For example, metal materials have been used for manufacturing automobiles, ships, aircrafts and machines. It is inevitable that these materials are often under various dynamic loadings such as collision, inpact and blast. Under such dynamic loadings,the materials usually work with high level of plasticity and thus it is very important to study their dynamic elasto-plastic reponses.The scaled boundary finite element method(SBFEM) is a novel semi-analytical numerical method, which combines the advantages of both finite element method and boundary element method. Only the boundaries of the subdomains are discretized but no fundamental solutions are needed. A significant advantage of the scaled boundary method is that the displacement fields and stress fields are analytical to the radial coordinates.Little research has been performed to simulate the elasto-plastic problems using SBFEM. In this study, SBFEM is extended to model elasto-plastic responses of metals under dynamic loadings for the first time in the time domain by integrating the existing elasto-plastic formulations and the dynamic SBFEM formulations using the Newmark time integration scheme.The developed method and the associated MATLAB codes are validated using a numerical example of a metal rod. It is shown that the results of elasto-plastic stress wave propagation and other dynamic responses is good agreement of those from ANSYS.