EN0175-09

EN0175-09 - EN0175 10 / 03 / 06 Stress in a solid Examples...

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Unformatted text preview: EN0175 10 / 03 / 06 Stress in a solid Examples of common stress states: 1. Uniaxial stress 1 e v 2 e v 3 e v = Principal stresses: = I , = = III II Principal directions: 1 e v , 2 e v , ( 3 e v 2 e v , 3 e v can be replaced by any direction in 2-3 plane) 2. Biaxial stress 3 e v Substrate 1 e v 2 e v Film = Principal stresses: = = II I , = III Principal directions: 1 e v , 2 e v , ( 3 e v 1 e v , 2 e v can be replaced by any direction in 1-2 plane) 1 EN0175 10 / 03 / 06 3. Hydrostatic stress 3 e v 1 e v 2 e v I = = Principal stresses: = = = III II I Principal directions: any direction (since there is no shear stress on any cut plane) 4. Pure shear 1 e v 2 e v 3 e v 1 2 2 1 e e e e v v v v + = = Principal stresses: 2 EN0175 10 / 03 / 06 3 2 1 3 2 1 3 2 1 = = n n n n n n n n n For nontrivial solution of , i n det = , which indicates ( ) = = , , 2 2 Following the convention III II I > > , we can write = I ,...
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EN0175-09 - EN0175 10 / 03 / 06 Stress in a solid Examples...

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