Hierarchical universal matrices for triangular finite elements with varying material properties and curved boundaries

1999 ◽  
Vol 44 (2) ◽  
pp. 215-228 ◽  
Author(s):  
D. Villeneuve ◽  
J. P. Webb
Keyword(s):  
Finite Elements ◽  
Material Properties ◽  
Curved Boundaries ◽  
Triangular Finite Elements

Computer-Aided Visioplasticity Solution to Axisymmetric Extrusion Through Curved Boundaries

1972 ◽  
Vol 94 (4) ◽  
pp. 1225-1230 ◽  
Author(s):  
A. H. Shabaik
Keyword(s):  
Material Properties ◽  
Extrusion Ratio ◽  
Strain Rates ◽  
Exit Section ◽  
Flow Function ◽  
Curved Boundaries ◽  
Circular Arc ◽  
Conical Die ◽  
Stress Components ◽  
Experimental Values

A procedure for smoothing the experimental values of the flow function ψ in axisymmetric extrusion through curved boundaries was developed. The analysis was applied to a 45 deg conical die with a 6:1 extrusion ratio and a circular arc of 0.33-in. radius and 0.033-in. land at the exit section. An analytical expression of ψ in terms of r and z was obtained and used in the calculation of velocity and strain rate components in axisymmetric extrusion of a superplastic of the eutectic of lead–tin. The stress components were obtained from the known values of the strain rates by considering equilibrium and plasticity equations and material properties.

Modeling Bed Changes in Meandering Rivers Using Triangular Finite Elements

2008 ◽  
Vol 134 (9) ◽  
pp. 1348-1352 ◽  
Author(s):  
Jose A. Vasquez ◽  
Peter M. Steffler ◽  
Robert G. Millar
Keyword(s):  
Finite Elements ◽  
Meandering Rivers ◽  
Triangular Finite Elements ◽  
Bed Changes
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