Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines
For researchers in computational fracture mechanics, this provides an efficient adaptive method combining local refinement and higher-order accuracy, though it is an incremental improvement over existing adaptive phase-field approaches.
This work introduces adaptive isogeometric analysis for high-order phase-field fracture models (AT1 and AT2) using THB-splines, achieving reduced computational cost while maintaining accuracy in 2D fracture problems.
In recent decades, the study of fracture propagation in solids has increasingly relied on phase-field models. Several recent contributions have highlighted the potential of this approach in both static and dynamic frameworks. However, a major limitation remains the high computational cost. Two main strategies have been identified to mitigate this issue: the use of locally refined meshes and the adoption of higher-order models. In this work, leveraging Truncated Hierarchical B-splines (THB-splines), we introduce adaptive simulations of higher-order phase-field formulations (AT1 and AT2), focusing primarily on two-dimensional fracture problems.