Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines

TL;DR

This paper presents an adaptive isogeometric analysis method for high-order phase-field fracture modeling using THB-splines, aiming to reduce computational costs in 2D fracture simulations.

Contribution

It introduces an adaptive simulation framework leveraging THB-splines for high-order phase-field fracture models, improving computational efficiency.

Findings

Efficient adaptive simulations of phase-field fracture models achieved.

Use of THB-splines enables local refinement and higher-order modeling.

Focus on 2D fracture problems with potential for extension.

Abstract

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.