Peridynamic Modeling, Identification and Validation of Laminates Responses Beyond Damage Initiation

• Applicants: Professor Dr.-Ing. Holm Altenbach; Professor Dr.-Ing. Konstantin Naumenko
• Subject Area: Mechanics ; Applied Mechanics, Statics and Dynamics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 524910452

With the development of advanced manufacturing technologies, composite materials and laminates are widely used in engineering as they are advantageous over traditional materials. While the deformation behaviour up to the damage initiation can be predicted by the classical continuum mechanics with satisfactory accuracy, analysis of progressive failure beyond the critical damage state is still a major challenge. Peridynamics (PD) as a nonlocal continuum mechanics theory is very suitable for analyzing discontinuous problems such as material failure, crack initialization, crack propagation, crack patterns formation and crack interactions. Based on the recent activities of the research group (RG) in OvGU Magdeburg on PD modeling of crack patterns in float glass, identification of long-range forces in peel films, this project aims to contribute novel formulations for composite laminate structures to offer engineers an alternative solution to tackle fracture problems. A novel PD damage constitutive modeling framework to describe damage initiation, damage growth and crack propagation in a unified manner will be developed by RG in OvGU. Based on the previous research on float glass, the available experimental data will be applied to identify material parameters, to capture initial distribution of flaws and to describe damage patterns in ring bending tests on glass plates. For the validation, ball drop tests will be simulated and results will be compared with experimental data. In addition, non-local models will be developed and calibrated in OvGU to capture long-range forces observed in peel tests. By the use of the layer-wise approach the developments will be consolidated to formulate a new PD theory for laminates subjected to severe loadings in the post-critical damage regime. Based on the available experimental data on laminated glass, a benchmark problem will be developed and solved to verify the theoretical developments as well as analytical and numerical solution procedures.

• DFG Programme: Research Grants