analysis of a cracked plate casa day 16/11/05. aloha airlines flight 243 motivation honolulu...
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Analysis of a cracked plateCasa Day 16/11/05
Aloha Airlines Flight 243
Motivation
Honolulu International Airport, Hawaii
At 24000 feet… loud clap
No visual exterior inspection (nor required)
Flight attendant swept out of the cabin
1 dead, 65 injured
$5 million damage
Peel Test
45º
Force Displacement (constant speed)
Nickel layer
Substrate
Peel-Test Support
Uniaxial Stress
Stress
Strain
A F
Displacement Gradient
Displacement Gradient
Displacement
Approximation
Strain Tensor
rigid body motions
deformations
symmetric
symmetric
skew-symmetric
Strain Tensor
Physical Interpretation
diagonal
off-diagonal
Stress Tensor
Traction
Cauchy Stress
Equation of motion
Balance of linear momentum
Balance of angular momentum
body force
density
Equation of motion
Summary
Equations Unknowns
3
6
6
6
3
9
+ +
15
constitutive equations
15
6
Constitutive Equations
Lamé Moduli
Linear Elasticity:
Young’s Modulus
Poisson’s Ratio
Problem Description
Continuum Mechanics
Boundary Conditions
Plane Stress
Continuum Mechanics
Domain decomposition
Macro equations, Micro equations
Schwarz
ExampleDifference between
successive iterations for uu1
u2-u1
u1-u0 5.13
u2-u1 1.16x10-1
u3-u2 6.56x10-2
u4-u3 5.86x10-2
Future Work
- Grain structure
- Time
- Convergence analysis