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Stress concentrations in structures, which can arise from various sources such as abrupt changes in section properties, contact stresses, material discontinuities, initial stresses due to manufacturing processes, and cracks. analytical solutions for stress concentration factors for circular and elliptic holes in infinite plates under uniaxial load. It also explores the effects of stresses applied in both x and y directions and the worst combination of stresses. The document also mentions the use of elliptic coordinates for analyzing stresses in ellipse holes.
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Typology: Exercises
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(max)
θθ
θθ
Stress concentration for ellipse
-^ Stress components:•^ At the hole surface (
α^ =
α,^0
σαα
= 0):
-^ Max stress at
β^ = 0:
−
0 0
2 2
α α ββ αα
−
=^
0
0 2 2
0 0 0
β α
α
σ σ
α α αα ββ
0 tanh
b a α^ =
(max)^
0
2
(^
2 coth
)
1
a b
σ^ ββ
σ
α^
⎛^ σ
⎞
=^
+^
=^
+⎜
⎟ ⎝^
⎠
What will happen fora circular hole?Crack?
