By Professor Terry Sheppard (auth.)

ISBN-10: 1441947280

ISBN-13: 9781441947284

ISBN-10: 1475730012

ISBN-13: 9781475730012

In contemporary years the significance of extruded alloys has elevated as a result decline in copper extrusion, elevated use in structural purposes, environmental influence and lowered power intake. There have additionally been large technical advances. this article offers entire assurance of the metallurgical, mathematical and useful gains of the process.

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**Additional resources for Extrusion of Aluminium Alloys**

**Example text**

However a further effect of the material flowing through the mesh is that it is not possible to predict material structural changes. Two-dimensional triangular finite elements are used to discretize the aluminium, container, die and ram. Along the boundary between the aluminium and the surrounding container, die and ram, one-dimensional bar elements may be inserted to describe velocity boundary conditions different from 'full stick' or 'full slip' and heat flux governed by heat transfer. Velocities are interpolated within each element using a complete quadratic polynomial through comer and midside nodes.

The axial stress ax has the greatest magnitude. The radial and tangential stresses (ar and as) have approximately the same magnitude in a cylindrical billet, but are less than ax. All three principal stresses are compressive and ax > a r as' and hence: a = a-a~2k=0 x r = a- We can see that the axial stress is given by ax a r and even if the radial stress is only 50% that of the axial stress then the stress on the extrusion ram will be 20 before adding the effect of friction. As discussed above, the ductility increases with hydrostatic pressure at least for the case of compression.

On exit to the die, the metal encounters a further discontinuity at AC and is forced to exit the die in the prescribed horizontal direction. The hodograph in Fig. 4(c) is constructed by: 1. ensuring that V = Hlh = extrusion ratio R; 2. adjusting the angles () and ifJ until condition 1. is achieved. Since () and ifJ are not independently variable the best solution is the least pressure calculated. This may be achieved by straightforward differentiation or by minimization techniques. l!... _ (BC UBC + CA UCA ) 2k 2H It is usually not necessary to draw the hodograph because the lengths presented inside the brackets can be expressed in terms of the extrusion ratio and the angles (), ifJ and a.

### Extrusion of Aluminium Alloys by Professor Terry Sheppard (auth.)

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