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Element with WEDGE shape.  

Element with WEDGE shape.  

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Figure 1. Mesh of a complex geometry.  
Figure 2. Mesh with cells type HEX.  
Figure 3. Mesh with HEX-dominated elements.  
Figure 4. Mesh with tetrahedral elements.  
+2 Figure 5. Element with WEDGE shape.  
Discretization Analysis in FEM Models
Article
Full-text available
  • Jan 2016
Discretization allows to switch from an infinite number of elements in a finite number and thanks to that the infinite degrees of freedom of the system become a finite number. The discretization of the domain consists of a subdivision into subdomains, which form a lattice or mesh. This work deals on different types of mesh and propose a choice for...
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Table 1 . Possible shapes
Figure 5. Region in the extended diagram where we cannot have a SE corner.
Figure 6. Sketch of the diagram to prove Lemma 13.
Figure 7. Configuration of an optional corner pp, qq.
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Theta-vexillary signed permutations
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Theta-vexillary signed permutations are elements in the hyperoctahedral group that index certain classes of degeneracy loci of type B and C. These permutations are described using triples of $s$-tuples of integers subject to specific conditions. The objective of this work is to present different characterizations of theta-vexillary signed permutati...
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Figure 1. Powell's proposed generators (from [Po]) 
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Powell moves and the Goeritz group
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In 1980 J. Powell proposed that five specific elements sufficed to generate the Goeritz group of any Heegaard splitting of $S^3$, extending work of Goeritz on genus $2$ splittings. Here we prove that Powell's conjecture was correct for splittings of genus $3$ as well, and discuss a framework for deciding the truth of the conjecture for higher genus...
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... The temporary hexahedral mesh contains a significant number of wedge-shaped elements [21] along the z-axis. These irregular elements are automatically eliminated and replaced by regular hexahedral elements, with field variables properly transferred between the two meshes ( Figure 7c). ...
... 3. The temporary hexahedral mesh contains a significant number of wedge-shaped elements [21] along the z-axis. These irregular elements are automatically eliminated and replaced by regular hexahedral elements, with field variables properly transferred between the two meshes ( Figure 7c). ...
Characterization of the Fracture Forming Limits by Radial Extrusion
Article
Full-text available
  • Jun 2023
This paper introduces a new formability test based on double-action radial extrusion to characterize material formability in the three-dimensional to plane-stress material flow transitions that are found in bulk metal-formed parts. The presentation draws from a multidirectional tool, which was designed to convert the vertical press stroke into horizontal movement of the compression punches towards each other, aspects of experimental strain determination, fractography, and finite element analysis. Results show that three-dimensional to plane-stress material flow transitions at the radially extruded flanges lead to different modes of fracture (by tension and by shear) that may or may not be preceded by necking, such as in sheet metal forming. The new formability test also reveals adequate characteristics to characterize the failure limits of very ductile wrought and additively manufactured metallic materials, which cannot be easily determined by conventional upset compression tests, and to facilitate the identification of the instant of cracking and of the corresponding fracture strains by combination of the force vs. time evolutions with the in-plane strains obtained from digital image correlation.
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... • The temporary hexahedral mesh contains a significant number of wedge-shaped elements [14] along the z-axis. These irregular elements are automatically eliminated and replaced by regular hexahedral elements with field variables properly transferred between the two meshes (Fig. 6c). ...
On the utilization of radial extrusion to characterize fracture forming limits. Part I – methodology and tooling
Conference Paper
  • Mar 2023
This paper and its second part introduce a new formability test based on double-action radial extrusion to characterize material formability in the bulk-to-sheet material flow transitions that are commonly found in metal forming. This first part draws from the presentation of a multidirectional tool, which was designed to convert the vertical press stroke into horizontal movement of the extrusion punches towards each other, to aspects of experimental strain determination, fractography and finite element analysis. The methodology and tooling that are introduced here pave the way for subsequent testing and modelling of the different modes of fracture in three-dimensional to plane-stress evolutions, typical of bulk-to-sheet material flow transitions, by means of the new proposed test.
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