MODELLING OF IDEALIZED CONCRETE USING MULTIPLE LEVEL-SET WITHIN XFEM
Abstract
When modelling concrete with high volume fractions, complex microstructures and nearby inclusions, the classical level-set/XFEM method induces some actefacts, even for extremely fine background meshes. It leads to significant errors in the effective thermal conductivity and poor convergence of the solution with respect to the mesh size. We proposed in previous works a method using multiple level-sets within the XFEM method to overcome these issues. In this method, each inclusion interface is associated with a different level-set function and related to a different enrichment strategy. In this paper, we extend this method to estimate effective thermal conductivity of idealized concrete. The proposed approach is demonstrated through the numerical results.
Keywords: XFEM/level-set; multiple level-set; effective conductivity.
Received: July 6th, 2016, Revised: July 20th, 2016, accepted: October 13th, 2016
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