Download file (13.4 MB)
Download as zip (12.6 MB)

Collection

Citation

Description:

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.

Rights:

• Creative Commons BY-NC Attribution-NonCommercial 4.0 International
  

Keyword: Ductile fracture, Rate–independent single crystal plasticity, Robustness, Micromorphic damage mechanism, Finite strain

Date published: 2025-10-24

Publisher: Elsevier BV

Journal:

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

Funding:

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

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1016/j.cma.2025.118500

Related item:

Other identifier(s):

Contact agent:

Updated at: 2025-11-10 12:30:22 +0900

Published on MDR: 2025-11-10 12:24:32 +0900