A position-based FEM approach for modeling mixed-mode cracks in concrete
摘要
This research introduces a novel mixed-mode discrete crack formulation to simulate crack growth in concrete using position-based High Aspect Ratio (HAR) finite elements. The approach is based on the discrete crack methodology known as Mesh Fragmentation Technique (MFT) and uses HAR interface elements to model cracks through a proposed mixed-mode continuous damage model. In this study, a recently extended version of MFT is employed, which is position-based and accounts for large displacements and rotations. The framework addresses mixed-mode crack behavior through a novel damage model that incorporates both shear and tensile displacements to compute the scalar damage variable. The study includes validation examples that confirm the accuracy of the formulation, along with comparisons between numerical results and experimental data for load-bearing capacity and crack propagation trajectories. Additionally, an example under large displacements is presented to demonstrate the applicability of the proposed framework in geometric nonlinear problems. The results demonstrate that the formulation accurately represents mixed-mode crack growth in concrete.