1. FE Post Processing Plotting Campbell Diagram Goodman Diagram Fracture Yield Principal Stress

2. POST PROCESSING PLOTS

3. Deformed Shape Plot

4. Contour Plots

5. History Plot

6. Invert Colors for Hard Copies

7. CAMPBELL DIAGRAMS

8. Campbell Diagram

9. Probabilistic Campbell Diagram

10. GOODMAN DIAGRAMS

11. Inputs Include Material: – Ultimate tensile strength, – Yield stress – 0.2%, – High cycle fatigue strength, Loads – Steady stress, – Vibratory, Half amplitude, zero-peak, Full amplitude, peak-peak,

12. Load Inputs

13. HCF Test Data Fit R=-1 data – For example: Pick number of cycles to failure: N f Solve for corresponding half-amplitude stress:

14. Goodman Diagram Material Inputs

15. My Choice

16. FRACTURE MECHANICS

17. Fracture Modes

18. Stress Intensity Factor Mode I Stresses near crack tip are singular and vary as the inverse square root of distance from crack tip K I is the stress intensity factor

19. Fracture – ¼ Points

20. Modeling Cracks

21. VON MISES STRESS & PLASTIC YIELDING

22. Von Mises Stress is the stress tensor is the equivalent hydrostatic pressure is the deviatoric stress

23. Invariants of Stress Invariants do not change values when coordinate system is rotated. The first invariant of the stress is The second invariant of the deviatoric stress is The third invariant of the deviatoric stress is the determinant.

24. Uniaxial Tension :yield stress

25. Equivalent Mises Stress Yielding occurs when Or when equivalent stress When yielding occurs Stress ratio is

26. PRINCIPAL STRESSES

27. Principal Stresses Eigenvalues of stress tensor (matrix) are principal stresses – All values are real – Order is 1:maximum, 2: intermediate, 3:minimum Associated eigenvectors are normal to face Use maximum principal stress for fracture 11 22 33 x y z

28. STRESS CONTOURS

29. Ansys Stress Contour Plots

30. FE Post Processing Plotting – Includes displaced, contour, and scatter plots Campbell Diagram – Finds important resonances Goodman Diagram – Predicts high cycle fatigue life Fracture – Indicates failure due to crack propagation Yield – Establishes yield through the use of equivalent (Mises) stress Principal Stress – Aids in determining failure due to presence of flaws