Dear Getfem-users,
I am asking this question here since there are developers here who also wrote some important papers on using XFEM for fracture mechanics applications. My question is concerning using second order (quadratic) tetrahedral and hexahedral elements with XFEM. Can the partition of unity be chosen as linear Lagrange shape functions for the enrichment terms along with a fixed area asymptotic enrichment and expect a second order convergence? Or should the partition of unity be second order as well? Also is there any difference in how XFEM applies to quadratic hexahedral elements vs quadratic tetrahedral elements? I ask this because it seems like Abaqus software does not seem to support XFEM for quadratic hex elements but does support quadratic tet elements. Does anyone know why? Does this have anything to do with level set computation for 3D? For Getfem is XFEM supported for both hex and tet quadratic elements? Thank you, Vikram ----------------------------------------------------------------------------- [cid:image001.png@01D99577.9AA93E90]<http://www.swri.org/> [Icon Description automatically generated]<https://www.linkedin.com/company/southwest-research-institute> [cid:image003.png@01D99577.9AA93E90]<https://twitter.com/SwRI> [Icon Description automatically generated]<https://www.facebook.com/southwestresearch> [cid:image005.png@01D99577.9AA93E90]<https://www.youtube.com/southwestresearchinstitute> [Icon Description automatically generated]<https://www.instagram.com/southwestresearchinstitute/> Vikram Bhamidipati, PhD Senior Research Engineer, Computational Materials Integrity Southwest Research Institute 210.522.2576 vikram.bhamidip...@swri.org swri.org<http://www.swri.org/> NOTICE: This email, including any attachments, is intended for the recipient only and may contain proprietary and/or sensitive information. If you are not the intended recipient please notify the sender immediately, and please delete it. Do not copy or disclose the email to any other person or use it for any purpose. Southwest Research Institute reserves the right to monitor all email communications through its networks.
