Revisit of two classical elasticity problems by using the Trefftz method

1. Revisit of two classical elasticity problems by using the Trefftz method Class: Hre-graduate Student ID:M96520027 Name: shiang-zhi Shieh Teacher: Jeng-Tzong Chen Life-Time Distinguished Professor

2. outline • Problem statements • Review of Timoshenko and Goodier’s solution • present approach of the Trefftz method • conclusion

3. Problem statements • The two classical problem in elasticity SCF problem Lame’ problem

4. outline • Problem statements • Review of Timoshenko and Goodier’s solution • present approach of the Trefftz method • conclusion

5. Review of Timoshenko and Goodier’s solution

6. (Part1) Lamè solution Airy stress function

7. (Part2) Stress concentration factor problem Airy stress function

8. outline • Problem statements • Review of Timoshenko and Goodier’s solution • present approach of the Trefftz method • conclusion

9. Trefftz Method

10. interior exterior Airy stress function

11. Lamè solution

12. present approach of the Trefftz method

13. (1)Interior part Airy stress function

14. Boundary conditions

15. (2)Exterior part Airy stress function

16. Total Airy stress function If r=a

17. outline • Problem statements • Review of Timoshenko and Goodier’s solution • present approach of the Trefftz method • conclusion

18. conclusion • 兩個方法都可以的到相同的結果

19. The end Thank your accede