EAS3434 Aero Struc I Ch06 (2018 10 18).pptx

EAS3434 Aero Struc I Ch06 (2018 10 18).pptx - Chap 6...

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Chap. 6: Theories of elastic failure (4 hrs) Tresca Failure Criterion, Von Mises failure theory Maximum normal stress and Mohr’s Failure theories (Reference: Sun, C.T. (2006). Mechanics of Aircraft Structures (2 nd Ed.). Hoboken: John Wiley and Sons) 1
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2 6. Learning Outcomes At the end of this chapter, we should be able to analyze the failure strength of:- simple ductile structural component based on the Tresca Failure Criterion or Von Mises Failure Theory. simple brittle structural component based on the Maximum Normal Stress Criterion or Mohr’s Failure Theories.
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3 6. Background and definitions All materials fail when their stress is higher than a limit. Materials are generally categorized into two: Ductile (elastic) materials Brittle materials Ductile materials can be considered fail * at the initiation of yielding; Brittle materials fail through fracture, which is usually sudden. Fracture: Driven by normal stresses acting to separate one atomic plane from another. Broken atomic bonds are not allowed to reform in new positions. Failure of brittle material in tension. Failure of brittle material in torsion. *Some structures such as pressure vessels do not allow yielding.
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4 6. Background and definitions Yielding of ductile materials follows a typical stress-strain curve
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5 6. Background and definitions Yielding Driven by shear stresses sliding one plane along another. Broken atomic bonds are allowed to reform in new positions. Stress no longer proportional to strain.
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