By M Predeleanu
The papers during this ebook take care of computational equipment for predicting fabric processing defects. utilizing fresh advances in finite pressure plasticity and viscoplasticity, harm modelling, bifurcation and instability thought, fracture mechanics and computing device numerical thoughts, new ways to mechanical illness research are proposed. acceptable equipment for explaining and fending off the defects resulting in fracture, excessive porosity, pressure localization or bad geometrical imperfections are provided. furthermore, a few papers are dedicated to new formulations and new calculation algorithms for use for fixing the forming difficulties. eventually, papers care for actual description of defects happening in forming and slicing operations, targeting the tutorial and functional curiosity of those subject matters. this is often the 1st booklet to accommodate the prediction of defects happening in fabric forming approaches; it includes a lot of curiosity from either a theoretical and a pragmatic point of view
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Additional info for Computational methods for predicting material processing defects : proceedings of the International Conference on Computational Methods for Predicting Material Processing Defects, September 8-11, 1987, Cachan, France
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).