|Title:||A simplified continuous–discontinuous approach to fracture based on decoupled localizing gradient damage method|
Singh, Indra Vir
Mishra, B. K.
|Published in:||Computer Methods in Applied Mechanics and Engineering|
|Abstract:||In this work, two fracture modelling methods i.e., extended FEM (XFEM) and localizing gradient damage method (LGDM), are combined to get the advantages of both methods while eliminating their limitations. The LGDM is a micromechanics-based method that avoids spurious damage growth and incorrect damage initiation observed in conventional gradient damage method (CGDM). However, in the LGDM, a cracked/discontinuous domain is not fully realized due to its continuous nature, even at high damage. This leads to numerous non-physical effects in LGDM like high strains, severe stress oscillations and incorrect representation of secondary variables. These shortcomings are rectified in the combined continuous–discontinuous (XFEM + LGDM) approach by introducing XFEM at the end of damage evolution to impose a discontinuous crack in the domain. To simplify the implementation, a fully coupled LGDM is converted to a decoupled LGDM using an operator-split (staggered) methodology. It is observed from numerical examples that the decoupling of LGDM leads to a reduction in the computational effort without compromising accuracy. Besides, the XFEM+LGDM approach avoids use of cohesive zone modelling necessary in existing XFEM+CGDM approaches. Moreover, the proposed method (combined XFEM + LGDM) is also investigated in the multi-physical framework of thermoelasticity. The numerical results reveal that the shortcomings mentioned earlier are rectified in a physically consistent manner under mode I and mixed-mode conditions. © 2021 Elsevier B.V.|
|Citation:||Computer Methods in Applied Mechanics and Engineering, 383|
|Author Scopus IDs:||57208272245|
|Author Affiliations:||Sarkar, S., Computational Mechanics and Multiscale Modelling Lab, Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India|
Singh, I.V., Computational Mechanics and Multiscale Modelling Lab, Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
Mishra, B.K., Computational Mechanics and Multiscale Modelling Lab, Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
|Funding Details:||This work is performed as part of the doctoral thesis work of Mr. Subrato Sarkar under the fellowship of the Ministry of Human Resource Development (MHRD), Government of India . The authors would like to thank Dr. Manish Kumar for his valuable inputs on implementing XFEM. Ministry of Human Resource Development, MHRD|
|Corresponding Author:||Singh, I.V.; Computational Mechanics and Multiscale Modelling Lab, India; email: email@example.com|
|Appears in Collections:||Journal Publications [ME]|
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