Advancing Energy-Efficient Computational Failure Analysis Through Mesh Independence

Fracture mechanics is a complex field that deals with the study of cracks in materials under different types of loading. In recent years, researchers have been developing hybrid models that combine elements of both continuous and discontinuous approaches to crack propagation. These models aim to provide a more accurate representation of fracture behavior by taking into account the complexities of the material’s response at different scales.
One of the main challenges in fracture mechanics is the difficulty in modeling the transition from a continuous, smooth material to a discontinuous, cracked one. Traditional approaches often struggle to capture this transition stage accurately, leading to inadequate predictions of crack growth and energy dissipation. Hybrid models address this issue by introducing a characteristic length scale that connects the discretization resolution to the crack band width through an energy equivalence. This allows for a smooth transition between the continuous and discontinuous regimes, enabling a more accurate prediction of fracture behavior.
The article discusses the need for hybrid models in fracture mechanics and their potential to improve the accuracy of crack growth predictions. It highlights the challenges associated with modeling the transition from a continuous to a discontinuous material response and how hybrid models address these challenges through the use of a characteristic length scale. The article also provides examples of different types of hybrid models, including those that combine elements of finite element methods with cohesive zone models or smoothed particle methods.
In conclusion, hybrid models offer a promising solution for improving the accuracy of fracture mechanics simulations by combining the strengths of both continuous and discontinuous approaches. By taking into account the complexities of material response at different scales, these models provide a more comprehensive understanding of fracture behavior and can help engineers design safer, more reliable structures.