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<p>This study exploits an efficient localized gradient damage model (LGDM) with monolithic and staggered implicit/explicit solution schemes to predict damage initiation and propagation in quasi-brittle media under both static and dynamic loading conditions. The analysis focuses on specimens with various configurations, including drill-hole and crack combinations, multiple edge cracks, and an internal offset crack. Through systematic studies, the influence of crack spacing, orientation, and geometric complexity on damage coalescence and energy dissipation is explored. The&#xa0;study of drill–hole and crack combinations&#xa0;show how variations in vertical and horizontal spacing of drill-hole and crack affect crack coalescence, mixed-mode deflection, and load-bearing capacity.&#xa0;Next, the&#xa0;multiple edge cracks&#xa0;simulation reveals stress shielding, and branching effects that govern crack path selection under static and high strain-rate conditions. The case of an&#xa0;internal offset crack&#xa0;under three-point bending highlights the influence of eccentric crack placement, showing asymmetric fracture evolution in static loading and rapid, unstable, and mixed-mode crack growth under dynamic impact. All simulation results exhibit strong agreement with experimental data and established benchmarks, thereby validating the model’s predictive accuracy, computational efficiency, and robustness in representing mixed-mode fracture, multiple crack propagation, and accurately reflecting the complex dynamics of damage growth during both static and high-rate fracture phenomena. For the dynamic context, the staggered explicit approach is found to be computationally most efficient. The key novelties lie in the integration of implicit/explicit solvers within a staggered LGDM framework which markedly improves the computational efficiency for dynamic simulations. Further, it is also demonstrated that a simple isotropic damage model robustly captures complex fracture phenomena, including mixed-mode transitions, crack curving, shielding, arrest, and micro-branching.</p>

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Damage assessment for quasi-brittle media under static and dynamic loadings using a robust and efficient localized gradient damage model

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • Satyabrat Pandey,
  • Anshuman Rajput,
  • Sandeep Kumar,
  • Debashis Khan

摘要

This study exploits an efficient localized gradient damage model (LGDM) with monolithic and staggered implicit/explicit solution schemes to predict damage initiation and propagation in quasi-brittle media under both static and dynamic loading conditions. The analysis focuses on specimens with various configurations, including drill-hole and crack combinations, multiple edge cracks, and an internal offset crack. Through systematic studies, the influence of crack spacing, orientation, and geometric complexity on damage coalescence and energy dissipation is explored. The study of drill–hole and crack combinations show how variations in vertical and horizontal spacing of drill-hole and crack affect crack coalescence, mixed-mode deflection, and load-bearing capacity. Next, the multiple edge cracks simulation reveals stress shielding, and branching effects that govern crack path selection under static and high strain-rate conditions. The case of an internal offset crack under three-point bending highlights the influence of eccentric crack placement, showing asymmetric fracture evolution in static loading and rapid, unstable, and mixed-mode crack growth under dynamic impact. All simulation results exhibit strong agreement with experimental data and established benchmarks, thereby validating the model’s predictive accuracy, computational efficiency, and robustness in representing mixed-mode fracture, multiple crack propagation, and accurately reflecting the complex dynamics of damage growth during both static and high-rate fracture phenomena. For the dynamic context, the staggered explicit approach is found to be computationally most efficient. The key novelties lie in the integration of implicit/explicit solvers within a staggered LGDM framework which markedly improves the computational efficiency for dynamic simulations. Further, it is also demonstrated that a simple isotropic damage model robustly captures complex fracture phenomena, including mixed-mode transitions, crack curving, shielding, arrest, and micro-branching.