Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update
نویسندگان
چکیده
منابع مشابه
Non-planar 3D crack growth by the extended 5nite element and level sets—Part I: Mechanical model
A methodology for solving three-dimensional crack problems with geometries that are independent of the mesh is described. The method is based on the extended 5nite element method, in which the crack discontinuity is introduced as a Heaviside step function via a partition of unity. In addition, branch functions are introduced for all elements containing the crack front. The branch functions incl...
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The extended finite element method (X-FEM) is a numerical method for modeling strong (displacement) as well as weak (strain) discontinuities within a standard finite element framework. In the X-FEM, special functions are added to the finite element approximation using the framework of partition of unity. For crack modeling in isotropic linear elasticity, a discontinuous function and the two-dim...
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A finite element based level set method is proposed for structural topology optimization. Because both the level set equation and the reinitialization equation are advection dominated partial differential equations, the standard Galerkin finite element method may produce oscillating results. In this paper, both equations are solved using a streamline diffusion finite element method (SDFEM). The...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2002
ISSN: 0029-5981
DOI: 10.1002/nme.430