A Simulation of the Fluctuations of International Atomic by James A. Barnes

By James A. Barnes

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From 800 °C to 900 °C the hardening stage is followed by a softening stage . fail strain is more important and nearly constant. At higher temperatures, a steady state appears for an equivalent strain which decreases with temperature. 32 Thus, the Theological characteristics of this alloy vary markedly with temperature. Material ductility increases when recristallization occurs (at higher temperature). Hot forming material behaviour can be generally described by a viscoplastic with strain hardening double power law relationship.

The curves B exp and A exp as functions of temperature are plotted respectively on figure 4 and 5. The A exp curve is a straight line with an equation fitted by A(T) = 0,096 T - 57,6 where T is in°C. M. computations give all components of the stress tensor and equivalent strain. At first, in order to predict the surface defects, we concentrate only on the axial, component σ χχ (of stress tensor) and the equivalent strain ε , this choice will be justified in the discussion. Then we discuss a failure risk estimated by the OYANE criterion.

1. Neck Profile. 1 the thickness variation along the neck was obtained using a computer program to solve numerically equation (4) as, Δε = μ . (λ/μ) . Δε (9) (ε 0 +ε) (10) λ/μ = λ/μ + Δ(λ/μ) (11) X = X + Δχ where Δ is the increment of the variable. 001 mm for t0=1 mm. 0001 mm the results were essentially the same. The adopted boundary conditions were: at x = 0 , inside the neck, t = tI] and 42 ε = Z . l o g6 C t o / t λ/μ = 1 . Ζ)]/[(ε0+ε)/(ε0 + ξ)] η / Μ ^ξ (12) is the minimum thickness and equation (12) is the ana- lytical solution of equation (4).

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