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Mechanical Properties: Review. nominal (engineering). true. F. stress. A 0. strain. elastic – stretch chemical bonds. l 0. s y. plastic – rearrange chemical bonds. s (stress). Y. e (strain). Shear stress from uniaxial tension. force is normal to the plane. normal stress. F.
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Mechanical Properties: Review nominal (engineering) true F stress A0 strain elastic – stretch chemical bonds l0 sy plastic – rearrange chemical bonds s (stress) Y e (strain)
Shear stress from uniaxial tension force is normal to the plane normal stress F consider what happens on some other plane, A’ A need to know area of A′ A′ = A/cos(f) f q F′ consider shear force parallel to A′ strain A′ need to know magnitude of F′ elastic – stretch chemical bonds F′ = Fcos(q) F′ can be along any direction parallel to A′ (each corresponds to a different q) Final result:tmax = s/2, in the orientation f = q = p/4 plastic – rearrange chemical bonds s (stress) Y e (strain)
Precipitate Hardening incoherent coherent