PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title:Blending Schemes for Concurrent Coupling of Local and Nonlocal Models in Multiscale Solid Mechanics
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Pablo Seleson, UT Austin
Abstract:
Multiscale modeling in materials science has been recognized in recent years as an important research field critical to achieving feasible and accurate descriptions of the behavior of many complex systems. In this work, we present a novel methodology to derive blending schemes to concurrently couple local and nonlocal models obtained from a single reference framework based upon the peridynamics theory of solid mechanics. Peridynamics is a generalization of classical continuum mechanics based upon differences of the displacement field and not on its derivatives; as a consequence, the theory has been used for the study of material failure. A consistent force-based blended model that couples peridynamics and classical elasticity is presented using nonlocal weights composed of integrals of blending functions. The proposed blended model possesses desired properties of multiscale material models such as satisfying Newton’s third law and passing the patch test. This approach finds particularly useful applications in fracture mechanics where the peridynamics theory can be used to describe regions where fracture is expected, whereas classical elasticity could be efficiently used elsewhere. Numerical experiments demonstrating the accuracy and efficiency of the blended model are presented as well as qualitative studies of the error sensitivity on different model and problem parameters. We also generalize this approach to the coupling of peridynamics and higher-order gradient models of any order.

Room Reservation Information

Room Number:MB106
Date:04 / 13 / 2012
Time:03:35pm - 04:25pm