|Title:||Adaptive mesh refinement schemes for the localizing gradient damage method based on biquadratic-bilinear coupled-field elements|
Singh, Indra Vir
Mishra, B. K.
|Published in:||Engineering Fracture Mechanics|
|Abstract:||In the present work, adaptive h-refinement schemes are developed for the localizing gradient damage method. In general, the existing adaptive refinement schemes have been developed using the bilinear quadrilateral (Q4) elements for the weakly coupled systems such as XFEM and Phase field method. In contrast to this, the presently developed refinement schemes are designed for simultaneous refinement of the strongly coupled biquadratic serendipity (Q8) and Q4 elements, which is a typical requirement of the localizing gradient damage method. This work addresses mainly two types of numerical complexities in the presently developed refinement schemes, first one is the strong coupling of primary variables in the localizing gradient damage method and other is the presence of mid-side nodes in the Q8 element. A detailed comparative study of three adaptive refinement schemes i.e. hanging nodes based, template based and multiscale FEM based, is carried out. The suitability and effectiveness of the refinement schemes are demonstrated through the study of various parameters like damage profile, load-displacement response, discretization error and computation time. Additionally, a comparison matrix of implementation complexity based on developed algorithm and coding is also presented to highlight the difficulties in their implementation. A novel oversampling data transfer scheme is proposed for the transfer of Gauss point's state variables from unrefined to refined mesh. © 2019 Elsevier Ltd|
|Citation:||Engineering Fracture Mechanics, 223|
|Author Scopus IDs:||57208272245|
|Author Affiliations:||Sarkar, S., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India|
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
|Funding Details:||This work is performed as part of Ph.D. thesis work of Mr. Subrato Sarkar under the fellowship of Ministry of Human Resource Development (MHRD), Government of India. The authors would also like to thank Dr. Manish Kumar and Dr. R.U. Patil for their valuable inputs and enlightening discussions on data transfer scheme and MsFEM. Ministry of Human Resource Development, MHRD|
|Corresponding Author:||Singh, I.V.; Department of Mechanical and Industrial Engineering, India; email: firstname.lastname@example.org|
|Appears in Collections:||Journal Publications [ME]|
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