Abdallah Salama, Ahmed Elsayed, Atef Eraky, Rania Samir
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Adaptive virtual element method with RCP for mixed-mode fracture analysis of marble rocks using GMTS criterion
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.
期刊介绍：
The International Journal of Fracture is an outlet for original analytical, numerical and experimental contributions which provide improved understanding of the mechanisms of micro and macro fracture in all materials, and their engineering implications.
The Journal is pleased to receive papers from engineers and scientists working in various aspects of fracture. Contributions emphasizing empirical correlations, unanalyzed experimental results or routine numerical computations, while representing important necessary aspects of certain fatigue, strength, and fracture analyses, will normally be discouraged; occasional review papers in these as well as other areas are welcomed. Innovative and in-depth engineering applications of fracture theory are also encouraged.
In addition, the Journal welcomes, for rapid publication, Brief Notes in Fracture and Micromechanics which serve the Journal''s Objective. Brief Notes include: Brief presentation of a new idea, concept or method; new experimental observations or methods of significance; short notes of quality that do not amount to full length papers; discussion of previously published work in the Journal, and Brief Notes Errata.
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