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Aerostructures Final
| Term | Definition |
|---|---|
| T/F: Twist only comes from internal torque. | True |
| T/F: If Vz passes through shear center, then the resulting shear has no twist. | True |
| Sigma_0 | Farfield normal stress/remote stress |
| Kt | Stress Concentration |
| T/F: Energy released by the system =/ strain energy stored | False. They are the same. |
| G | Strain Energy Release Rate |
| Gc | Critical Strain Energy Release Rate Griffith Criterion Fracture toughness of a material. How brittle the material is Material Property. |
| T/F: G the critical strain energy release rate is a material property. | True |
| T/F: If G < Gc the crack would grow. | False. Greater than or equal to. |
| W | Elastic strain energy |
| Pcrit | Load required to grow the crack. |
| Mode I | Opening Mode |
| Mode 2 | Shear Mode |
| Mode 3 | Scissor Mode |
| Fracture mechanics for plane stress | At the crack-tip the Poisson effect allows for stress relief in the z-direction |
| Fracture mechanics for plane strain | At the crack-tip the surrounding material constrains the Poisson effect and stresses exist in the z-direction. |
| T/F: When w>>a then Y ~ 1. | True. |
| Fatigue Failure | The failure of a mechanical component due to repeated loads. |
| High cycle fatigue | Stresses are generally due to repeated loads. |
| Low cycle fatigue | Stresses can be in the plastic (non-linear) material range. |
| T/F: Low cycle fatigue is more common for an aircraft. | False. High cycle fatigue. |
| Aircraft cycle examples | Wings flap and go up while in the air and fall on the ground. The fuselage has cabin pressure that can cause high or low cycle fatigue. |
| T/F: Fully reversed loading, i.e. alternating from tension to compression is particularly damaging. | True. |
| Completely reversed loading. | At the same sigma_max, failure occurs in fewer cycles. For the same number of cycles to failure the sigma_max must be lower |
| N or N_f | Fatigue life. |
| R | Stress ratio. min/max. |
| Endurance limit | 1/2 ultimate stress which is also the fatigue limit. This limit is lower for fully reversed loading. R = -1. This applies to most steel alloys. |
| T/F: For stress ratio of R = 0, once max stress is less than or equal to 1/2 ultimate stress, failure will not occur no matter how many cycles are applied. | True. |
| T/F: For aluminum alloys there is no endurance limit. For practical purposes the stress amplitude @ 10^8 cycles is considered the fatigue life. | True. |
| T/F: Aluminum will fail at high stress amplitudes given enough cycles. Therefore parts that are exposed to 100s of millions of cycles are generally not made from aluminum. | False. Aluminum will fail at low stress amplitudes. |
| S_a | Fully reversed fatigue strength at a desired number of cycles. |
| S_e | Endurance limit. For infinite life set we set S_a = S_e. |
| What happens when S_a = 0? | The sample fails due ultimate stress. |
| Safety factors? | You divide by F.S. |
| n_i | No. of cycle for block n. |
| S_i | Fully reversed alternating stress for block n. |
| N_i | |
| Fatigue Crack Growth phases | 1) Crack initiation 2) Stable crack growth 3) Un-stable crack growth |
| a | Crack length. Usually given as 2a. |
| T/F: Crack growth is a function of stress intensity factor K_I. More specifically it is a function of the range of stress intensity factor during a cycle. | True |
| T/F: Long columns usually fail from bending buckling and short ones fail from torsion buckling. | True |
| Where does buckling occur on an aircraft? | Buckling can happen on compression members loaded off-axis, (eccentric loading), on webs and flanges of structural elements, and on plates and shells. |
| T/F: We use steel because it is less prone to buckling. | False. We use aluminum because steel is more prone to buckling. |
| Load control | Means you increase the load and monitor displacement. Its equivalent to adding weight to a structure. |
| Displacement control | Means you increase the displacement and monitor loads. This is typically how we test materials for E, yield stress, ult stress, yield strain, and max strain. |
| T/F: A column under displacement control can buckle in a non-catastrophic manner. A column under load control will buckle in a catastrophic manner. | True |