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Torsion cracked bar problem using BIEM

Torsion cracked bar problem using BIEM. S. K. Kao HR2-307/2008/01/21. Outline. Cracked bars Green’s identity Torsion rigidity Dual boundary integral equations New Methods. Cracked bars. Outline. Cracked bars Green’s identity Torsion rigidity Dual boundary integral equations

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Torsion cracked bar problem using BIEM

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  1. Torsion cracked bar problem using BIEM S. K. Kao HR2-307/2008/01/21

  2. Outline • Cracked bars • Green’s identity • Torsion rigidity • Dual boundary integral equations • New Methods

  3. Cracked bars

  4. Outline • Cracked bars • Green’s identity • Torsion rigidity • Dual boundary integral equations • New Methods

  5. Green’s identity • First Green’s identity • Secend Green’s identity

  6. Outline • Cracked bars • Green’s identity • Torsion rigidity • Dual boundary integral equations • New Methods

  7. Torsion rigidity Method 4

  8. Torsion rigidity

  9. Outline • Cracked bars • Green’s identity • Torsion rigidity • Dual boundary integral equations • New Methods

  10. Dual boundary integral equations • Governing equation: • Boundary conditions:

  11. Dual boundary integral equations where

  12. Outline • Cracked bars • Green’s identity • Torsion rigidity • Dual boundary integral equations • New Methods

  13. New Methods Singular matrix: • Method 1: Lin • Method 2: SVD • Method 3: Orthogonal

  14. The end Thank your attention

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