
From:  yves . renard 
Subject:  Re: XFEM with second order hexahedral and tetrahedral elements 
Date:  Mon, 5 Jun 2023 20:43:46 +0200 (CEST) 
Dear Getfemusers,
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


Vikram Bhamidipati, PhD Senior Research Engineer, Computational Materials Integrity Southwest Research Institute 210.522.2576 vikram.bhamidipati@swri.org 
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