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We wish to produce a 1 -mm-diameter copper wire having a minimum yield strength of 60,000 psi and a minimum $\%$ elongation of $5 \%$. We start with a 20 -mm-diameter rod. Design the process by which the wire can be drawn. Include allimportant details and explai

    We wish to produce a 1 -mm-diameter copper wire having a minimum yield strength of 60,000 psi and a minimum $\%$ elongation of $5 \%$. We start with a 20 -mm-diameter rod. Design the process by which the wire can be drawn. Include allimportant details and explai
 
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Essentials of Materials Science and Engineering
Essentials of Materials Science and Engineering
Donald R. Askeland,… 2nd Edition
Chapter 8, Problem 30 ↓

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The reduction ratio (R) can be calculated using the formula: \[ R = \frac{A_0}{A_f} \] where \( A_0 \) is the initial cross-sectional area and \( A_f \) is the final cross-sectional area. The initial area \( A_0 \) of the rod is: \[ A_0 = \pi  Show more…

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We wish to produce a 1 -mm-diameter copper wire having a minimum yield strength of 60,000 psi and a minimum $\%$ elongation of $5 \%$. We start with a 20 -mm-diameter rod. Design the process by which the wire can be drawn. Include allimportant details and explai
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Key Concepts

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Intermediate Annealing
Intermediate annealing is a heat treatment process applied between successive drawing passes to relieve internal stresses and restore ductility lost during cold working. This step is crucial when the level of work hardening is high, as it helps prevent cracking and makes subsequent drawing passes easier, ensuring that the final product meets the desired mechanical properties.
Cold Working and Work Hardening
Cold working refers to the deformation processes performed below the recrystallization temperature of the metal, where the material undergoes significant plastic deformation. During wire drawing, cold working leads to work hardening – an increase in the yield strength and hardness of the material due to the increased dislocation density. However, excessive work hardening can reduce ductility, so the process must balance strength and elongation properties.
Material Properties Control
Controlling the material properties means designing the process to meet specific mechanical criteria such as minimum yield strength and elongation requirements. In wire drawing, the imposed deformation must be calibrated to ensure that the yield strength is enhanced by work hardening, while still retaining sufficient ductility to meet elongation specifications. This requires careful planning of the strain distribution and careful adjustment of deformation parameters during each drawing pass.
Wire Drawing Process
Wire drawing is a metal forming process in which a metal rod is pulled through one or more drawing dies to reduce its cross-sectional area and produce a wire. This process involves plastic deformation, where the metal undergoes a reduction in size while being elongated, and is characterized by the use of lubricants and carefully designed dies to control friction and maintain product quality.
Reduction Ratio and Multi-Pass Design
The reduction ratio is the measure of the decrease in cross-sectional area between the starting rod and the final wire. Achieving a large overall reduction from the initial rod to the desired wire diameter typically requires multiple passes, with each pass reducing the area by a controlled amount. This multi-stage design minimizes the risk of defects and excessive work hardening, and it allows for better control of the mechanical properties throughout the process.

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We wish to produce a 1-mm-diameter copper wire having minimum yield strength of 60,000 psi and a minimum % elongation of 5%. We start with a 20-mm-diameter rod. Design the process by which the wire can be drawn. Include important details and explain.

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