Question

As shown in the figure below, a screw dislocation with a tangent vector in $+\hat{k}$ direction and a burgers vector in $+\hat{k}$ direction of magnitude, $2.5 \times 10^{-10}$ m, is located a distance of $r = 2$ nm, along the x-axis, from a crack tip in copper. Copper has a Young's modulus of 130 GPa and a shear modulus of 48 GPa. The crack is loaded in mode III to a stress intensity of $K_{III} = 0.1$ MPa. At equilibrium the total force on the dislocation is the sum of the crack tip and image force. Use this condition to determine the stress intensity, $K_D$ in units of $MPa\sqrt{m}$ that the dislocation exerts on the crack.

          As shown in the figure below, a screw dislocation with a tangent vector in $+\hat{k}$ direction and a burgers vector in $+\hat{k}$ direction of magnitude, $2.5 \times 10^{-10}$ m, is located a distance of $r = 2$ nm, along the x-axis, from a crack tip in copper. Copper has a Young's modulus of 130 GPa and a shear modulus of 48 GPa. The crack is loaded in mode III to a stress intensity of $K_{III} = 0.1$ MPa. At equilibrium the total force on the dislocation is the sum of the crack tip and image force. Use this condition to determine the stress intensity, $K_D$ in units of $MPa\sqrt{m}$ that the dislocation exerts on the crack.

As shown in the figure below, a screw dislocation with a tangent vector in +k̂ direction and a burgers vector in +k̂ direction of magnitude, 2.5 × 10^-10 m, is located a distance of r = 2 nm, along the x-axis, from a crack tip in copper. Copper has a Young's modulus of 130 GPa and a shear modulus of 48 GPa. The crack is loaded in mode III to a stress intensity of KIII = 0.1 MPa. At equilibrium the total force on the dislocation is the sum of the crack tip and image force. Use this condition to determine the stress intensity, KD in units of MPa√(m) that the dislocation exerts on the crack.

Added by Denise C.

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