Hill's orthotropic yield criterion is given by FHill () = IJ 71/2 -OST- YY [F(00)+G(00xx) +...

 

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Hill's orthotropic yield criterion is given by FHill (₁) = IJ 71/2 -OST- YY [F(0−0₂)²+G(0₂−0xx)² + H (0xx −0 YY XX +2L(0µ)² +2M(0xz)² + 2N(0xx)² -0 =0 (a) Specialize this criterion to the case of plane stress (X-Y plane). X XY (b) If the yield strengths in the X-direction, Y-direction, and pure in-plane shear, denoted by oy, and t are known, can the needed parameters be obtained so that the specialized criterion can be used? ox, 2 45 (c) Let's say you now conduct a tensile test on a specimen cut from the orthotropic sheet with loading axis in-plane and rotated 45° from the X-direction. A yield strength of o5 is measured in this direction. Determine the parameters of the specialized criterion in terms of the four yield strengths. y Hill's orthotropic yield criterion is given by FHill (₁) = IJ 71/2 -OST- YY [F(0−0₂)²+G(0₂−0xx)² + H (0xx −0 YY XX +2L(0µ)² +2M(0xz)² + 2N(0xx)² -0 =0 (a) Specialize this criterion to the case of plane stress (X-Y plane). X XY (b) If the yield strengths in the X-direction, Y-direction, and pure in-plane shear, denoted by oy, and t are known, can the needed parameters be obtained so that the specialized criterion can be used? ox, 2 45 (c) Let's say you now conduct a tensile test on a specimen cut from the orthotropic sheet with loading axis in-plane and rotated 45° from the X-direction. A yield strength of o5 is measured in this direction. Determine the parameters of the specialized criterion in terms of the four yield strengths. y