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ME471FailureTheories - STATIC FAILURE THEORIES biaxial...

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STATIC FAILURE THEORIES biaxial stress state, σ 3 =0 Label σ 1 as the larger of the principal stresses i.e., σ 1 > σ 2 SF = Safety Factor MAXIMUM NORMAL STRESS (use for brittle materials) Failure will occur if the largest normal stress exceeds the ultimate strength 1 UT SF S σ and 2 UC SF S σ ≥ − MAXIMUM SHEAR STRESS (use for ductile materials) Failure will occur if maximum shear stress exceeds S Y / 2 1 2 1 3 2 3 | | | | | max , , 2 2 2 MAX σ σ σ σ σ σ τ = | 2 Y MAX S SF τ MAXIMUM DISTORSION ENERGY (Von Mises) (use for ductile materials) Failure will occur if strain energy per unit volume exceeds strain energy per unit volume of test specimen at yield Failure will occur if equivalent stress σ E exceeds S Y ( ) 1/ 2 2 2 1 2 1 2 E σ σ σ
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