Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
An Alternative Approach to Compute the Material Parameters for the Peridynamic Theory
Submission Author:
Atila Lupim Cruz , SP , Brazil
Co-Authors:
Atila Lupim Cruz, Mauricio Donadon
Presenter: Atila Lupim Cruz
doi://10.26678/ABCM.COBEM2021.COB2021-0172
Abstract
The peridynamic theory is a method for the numerical solution of the elastodynamics problems developed in recent years. One of its greatest advantages is the natural ability to simulate the initiation and growth of cracks in solid materials, without additional numerical procedures commonly employed in conventional finite element formulations. This ability is because the peridynamic constitutive relations are based on partial integral equations rather than differential ones, which are definite in a geometrical discontinuity. These constitutive relations are dependent on some constants calibrated by the physical and geometrical properties of the simulated problem, called in this work as the peridynamic material parameters. Within this context, this research aims to reevaluate these material parameters found in the open literature, to optimize computational costs and improve precision while running a peridynamic elastoplastic numerical analysis. In this work, some of these constants are calculated by a numerical approximation, rather than by the analytical equation available. This alternative method avoids the need to calculate the surface and volume correction factors because they already will be embedded in these numerical parameters, minimizing the number of floating-point operations performed in the simulation, which in turn decreases the simulation computational time. Other parameters required by the peridynamic theory are also redefined by using a novel approach presented in this paper, where is verified that these newly developed parameters help to improve even more the accuracy of the numerical results. To verify the improvements brought by the proposed methodology, these material parameters are implemented in an in-house elastoplastic peridynamic FORTRAN code, and the results for the displacements and the Von Mises stress fields are compared to the available analytical results and with those obtained with a commercial finite element code.
Keywords
Peridynamic theory, Stress Analysis, Elastoplastic Simulations, Material Parameters
