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<p>This paper investigates the application of the Virtual Element Method (VEM) for simulating crack propagation in 2D marble rock under linear elastic fracture mechanics (LEFM) conditions. The inherent mesh flexibility of VEM is leveraged by employing an adaptive mesh refinement (AMR) strategy based on recovery by compatibility in patches (RCP) for triangular, quadrilateral, and even polygonal meshes. The accuracy and efficiency of crack path prediction are enhanced by calculating stress intensity factors (SIFs) and T-stress through the interaction domain integral method coupled with the Generalized Maximum Tangential Stress (GMTS) criterion. The effectiveness of this approach is validated using three distinct marble rock specimens with varying material properties and initial crack configurations: semi-circular bend (SCB) Harsian Marble, center-cracked circular disk (CCCD) limestone, and edge-cracked triangular (ECT) Neyriz Marble. The GMTS criterion, incorporating three parameters (KI, KII, and T), precisely predicts crack initiation and propagation directions, demonstrating its superiority for mixed-mode fractures.</p>

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Adaptive virtual element method with RCP for mixed-mode fracture analysis of marble rocks using GMTS criterion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月28日

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  • Abdallah Salama,
  • Ahmed Elsayed,
  • Atef Eraky,
  • Rania Samir

摘要

This paper investigates the application of the Virtual Element Method (VEM) for simulating crack propagation in 2D marble rock under linear elastic fracture mechanics (LEFM) conditions. The inherent mesh flexibility of VEM is leveraged by employing an adaptive mesh refinement (AMR) strategy based on recovery by compatibility in patches (RCP) for triangular, quadrilateral, and even polygonal meshes. The accuracy and efficiency of crack path prediction are enhanced by calculating stress intensity factors (SIFs) and T-stress through the interaction domain integral method coupled with the Generalized Maximum Tangential Stress (GMTS) criterion. The effectiveness of this approach is validated using three distinct marble rock specimens with varying material properties and initial crack configurations: semi-circular bend (SCB) Harsian Marble, center-cracked circular disk (CCCD) limestone, and edge-cracked triangular (ECT) Neyriz Marble. The GMTS criterion, incorporating three parameters (KI, KII, and T), precisely predicts crack initiation and propagation directions, demonstrating its superiority for mixed-mode fractures.