Spectral extended finite element method for band structure calculations in phononic crystals
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Progress has been made in several of the proposed areas of research, as summarized below.
This report documents the recent development to enable XFEM to work with higher order elements. It also demonstrates the application of higher order (quadratic) elements to both 2D and 3D models of PCMI problems, where discrete fractures in the fuel are represented using XFEM. The modeling results demonstrate the ability of the higher order XFEM to accurately capture the effects of a crack on the response in the vicinity of the intersecting surfaces of cracked fuel and cladding, as well as represent smooth responses in the regions away from the crack.
This memo consists of a manuscript draft that was never published, but was prepared in 2002 at Sandia. It is used as a user-guide for running simulations of laser welding with Sandia's Goma 6.0 software.
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