W24-04 Peridynamic Modeling of Fracture and Damage: fast solvers and material models at different scales

Instructor(s):  Florin Bobaru,  University of Nebraska-Lincoln; Ziguang Chen, Huazhong University of Science and Technology,​​​​​​


Peridynamic (PD) models are ideally suited for simulating damage (fracture, fragmentation, dissolution, corrosion, etc.) because nonlocality allows damage to evolve in arbitrary ways and directions, matching well experimental observations of quasi-static and dynamic failure in a variety of materials. This course presents PD formulations of general material failure/degradation phenomena, including dynamic brittle fracture in glass and glassy polymers, shear banding and ductile failure, dislocation motion and its effects on crack growth in single-crystal and polycrystalline materials, corrosion damage, damage in concrete structures, thermomechanical failure, fracture in composite and porous materials, etc. Two types of numerical methods that are particularly well suited for discretizing PD models will be covered: the meshfree with direct quadrature method, and the meshfree with pseudo-spectral integration (and its associated “PeriFast” code). The course will include a hands-on session using the Matlab-based PeriFast code (freely downloadable from GitHub) for solving dynamic fracture and corrosion damage problems, in 3D on a laptop.