lecture07 - Date: 21 ‐ Oct ‐ 2009 Notes Prepared By:...

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Unformatted text preview: Date: 21 ‐ Oct ‐ 2009 Notes Prepared By: (01) Aydan Miray Arca (02) Ezgi Üstün Strain Compatibility: ߝ ij = ଵ ଶ (U i,j +U j,i )= ଵ ଶ ( డ௎ ೔ డ௫ ೕ + డ௎ ೕ డ௫ ೔ ) െ6 ܧݍݑܽݐ݅݋݊ݏ Normal Strain: 11 = డ௎ భ ߝ డ௫ భ , ߝ డ௫ మ 22 = డ௎ మ , ߝ 33 = பU య ப୶ య Shear Strain 12 = ଵ s: ߝ ଶ ( డ௎ భ డ௫ మ + డ௎ మ డ௫ భ ) , ߝ 13 = ଵ ଶ ( డ௎ భ డ௫ య + డ௎ య డ௫ భ ) , ߝ 23 ଶ = ଵ డ௫ య ( డ௎ మ + డ௎ య డ௫ మ ) െ6 ܵݐݎܽ݅݊ ܥ݋݉݌݋݊݁݊ݐݏ െ3 ܦ݅ݏ݌݈ܽܿ݁݉݁݊ݐ ܥ݋݉݌݋݊݁݊ݐݏ ......(u 1 , u 2 , u 3 /u, v, w) డ మ ఌ భభ మ డ௫ మ = డ య ௎ భ డ ௫ మ ௫ భ డ మ డ మ ఌ మమ ௫ మ డ భ = డ య ௎ మ డ௫ డ௫ మ మ భ డ మ ఌ భమ డ௫ భ డ௫ మ = ଵ ଶ ( డ య ௎ భ డ௫ భ డ௫ మ మ + డ య ௎ మ డ௫ మ డ௫ భ మ ) డ మ ఌ భభ డ௫ మ మ + డ మ ఌ మమ డ௫ భ మ = 2 ( డ మ ఌ భమ డ௫ భ డ௫ మ ) .........strain compatibility in 2D....
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lecture07 - Date: 21 ‐ Oct ‐ 2009 Notes Prepared By:...

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