6.7 Growth-Induced Residual Stress in Tubes
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Fig. 6.11 Results for anisotropic growth in a tube. (a, b) Residual stress distributions for uniform
circumferential growth (G θ = 0.5, 1.5) and uniform radial growth (G r = 0.5, 1.5). (c) Effects
of a transmural growth gradient. Residual stress (right) is plotted for three distributions of
circumferential growth (left)
Fig. 6.12 Schematic for
qualitative analysis of
anisotropic growth in a tube
overlap
G θ < 1
G θ > 1
tension
compression
tension
compression
G r < 1
G r > 1
tension
compression
tension
compression
bend
bend
cut