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説明:

Numerical simulations of ductile fracture analysis frequently encounter significant convergence challenges. While existing efforts have largely focused on global/local numerical optimization or extended (discontinuous) methods, this study introduces a novel stress-update algorithm operating at the material point level. This algorithm is designed to mitigate the computational difficulties inherent in ductile fracture problems, especially in single crystal plasticity simulations that employ rate--independent constitutive formulations. For implicit models based on continuum damage mechanics, material softening mechanisms like damage complicate the solution of global equations. This study demonstrates that the plasticity mechanism can be locally separated from the damage mechanism while maintaining mathematical equivalence with a conventional algorithm. This sequential scheme provides a robust and convenient approach for describing the coupling between multiple plasticity and damage internal state variables. Furthermore, a micromorphic damage enhancement, serving as a gradient extension, is utilized to mitigate spurious mesh-dependence and to account for the characteristic length scale in polycrystalline systems. The advantages and limitations of the proposed algorithm, from its constitutive formulations to its comparative applications, are thoroughly discussed.

権利情報:

• Creative Commons BY-NC Attribution-NonCommercial 4.0 International
  

キーワード: Ductile fracture, Rate–independent single crystal plasticity, Robustness, Micromorphic damage mechanism, Finite strain

刊行年月日: 2025-10-24

出版者: Elsevier BV

掲載誌:

• Computer Methods in Applied Mechanics and Engineering (ISSN: 00457825) vol. 448 118500

研究助成金:

• Japan Science and Technology Agency
• Core Research for Evolutional Science and Technology JPMJCR1995

原稿種別: 出版者版 (Version of record)

MDR DOI:

公開URL: https://doi.org/10.1016/j.cma.2025.118500

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更新時刻: 2025-11-10 12:30:22 +0900

MDRでの公開時刻: 2025-11-10 12:24:32 +0900