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Adaptive CT XIGA Using LR B-Splines for Efficient Fracture Modeling.

Fei Gao1,2, Cancan Ge1,2, Zhuochao Tang1,2

  • 1School of Management Science and Engineering, Anhui University of Technology, Ma'anshan 243032, China.

Materials (Basel, Switzerland)
|March 13, 2025
PubMed
Summary

This study introduces an adaptive crack-tip extended isogeometric analysis (XIGA) framework using locally refined B-splines for efficient fracture modeling. It significantly improves accuracy and reduces computational costs in simulating crack propagation.

Keywords:
LR B-splinesXIGAadaptivitycrack propagationfracture

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Area of Science:

  • Solid Mechanics
  • Computational Mechanics
  • Fracture Mechanics

Background:

  • Extended Isogeometric Analysis (XIGA) enables crack modeling without remeshing.
  • Locally Refined B-splines (LR B-splines) offer enhanced geometric representation and local refinement.
  • Efficient fracture modeling requires advanced computational techniques.

Purpose of the Study:

  • To present a novel adaptive crack-tip extended isogeometric analysis (adaptive CT XIGA) framework.
  • To leverage LR B-splines for accurate and efficient fracture modeling in 2D solids.
  • To investigate and adopt optimal local mesh refinement strategies for crack propagation.

Main Methods:

  • Utilizing XIGA with localized enrichment functions for crack modeling.
  • Implementing LR B-splines for high-order continuity and local mesh refinement.
  • Employing the crack-tip topological refinement strategy for adaptive analysis.
  • Evaluating Stress Intensity Factors (SIFs) via contour interaction integral.
  • Predicting crack growth using the maximum circumferential stress criterion.

Main Results:

  • The adaptive CT XIGA framework demonstrates high accuracy, efficiency, and robustness.
  • Superior error convergence rates are achieved compared to traditional adaptive XIGA methods.
  • Significant reduction in computational costs for crack propagation simulations.
  • Effective modeling of crack faces and propagation without remeshing.

Conclusions:

  • Adaptive CT XIGA provides a powerful and efficient tool for complex fracture problems.
  • The proposed framework offers substantial advantages over existing adaptive XIGA methods.
  • LR B-splines are crucial for enhancing accuracy and computational efficiency in fracture analysis.