Effect of Tangential Velocity Rise on Tool Wear in Machining

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Questions and Answers

What effect does tangential velocity rise have on friction power?

  • Decreases friction power
  • Halts friction power entirely
  • Has no effect on friction power
  • Leads to a rise in friction power (correct)

Why does the tool rake face soften, wear, and break under high pressure and temperature?

  • Because of increased temperature rise (correct)
  • Due to decreased tangential velocity
  • No correlation with pressure or temperature
  • Due to decreased temperature rise

What helps manufacturing engineers seek a compromise between productivity and temperature rise?

  • Decreasing cutting speed
  • Increasing cutting speed (correct)
  • Using low heat-resistant tool materials
  • Utilizing high friction angle

How does the frictional force change with a decrease in the friction angle?

<p>Frictional force decreases (C)</p>
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What is needed to guard against critical diffusion or melting temperature limits at the tool-chip interface?

<p>Tool geometry improvements (B)</p>
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What is the main purpose of seeking heat-resistant tool materials for manufacturing engineers?

<p>To preserve hardness at elevated temperatures (B)</p>
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What is the formula for the shear plane temperature?

<p>𝑇𝑠𝑝 = 𝐹𝑠𝑠𝑝𝑉𝑠𝑝 𝑚̇𝑐𝑝𝑐 + 𝑇𝑎 (A)</p>
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What does the power term 𝑃𝑟𝑓 represent in the context of the cutting process?

<p>Friction power dissipated at the chip-rake face interface (D)</p>
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How is the impulsive force 𝐹𝑖𝑚 calculated along the shear plane?

<p>𝐹𝑖𝑚 = 𝑚̇𝑐𝑝 [𝑉𝑐ℎ cos(𝜑𝑟𝑓 + 90 − 𝜑𝑠𝑝 ) + 𝑉𝑡 cos(𝜑𝑠𝑝 )] (B)</p>
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What is the power term 𝑃𝑚𝑐 related to in the cutting process?

<p>Power consumed in plastic deformation and friction (D)</p>
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In the equation 𝑃𝑠𝑚 ≈ 𝜌𝑤ℎ𝑉𝑜∆T, what does ∆T represent?

<p>Average temperature rise in the chip (C)</p>
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Based on the text, how are different materials compared in terms of their resistance to cutting force?

<p>By using the specific energy requirements (D)</p>
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What does the shear plane area formula represent in manufacturing science and engineering?

<p>The area of the material being sheared away from the workpiece (B)</p>
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In the context of manufacturing science and engineering, what is the significance of shear stress?

<p>It quantifies the force required to shear the material from the workpiece (D)</p>
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How does shear velocity contribute to the cutting process in manufacturing?

<p>It adds vectorially with the chip velocity to balance the cutting velocity (A)</p>
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What does the constant normal stress indicate in manufacturing science and engineering?

<p>The stress acting perpendicular to the shear plane during cutting (A)</p>
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How is chip compression ratio indirectly affected by the shear plane area?

<p>It increases as the shear plane area decreases (D)</p>
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What is the result of the shearing process described in the text?

<p>Plastic deformation of the material (B)</p>
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How is shear displacement of planes ahead of the shear plane caused?

<p>By shear stress (B)</p>
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What is the relationship between shear strain rate and the time interval of shear process?

<p>Directly proportional (B)</p>
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How is shear strain rate calculated based on the text?

<p>𝛾̇𝑠 = tan(𝛾𝑠) / ∆𝑡 (C)</p>
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What is the overall effect of plane strain conditions on the material within triangles?

<p>Material gets displaced (C)</p>
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How does shear velocity impact shear stress according to the text?

<p>Shear velocity increases shear stress (A)</p>
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What is the expression for the shear force on the shear plane according to the text?

<p>𝐹𝑡 sin(𝜑𝑠𝑝 ) + 𝐹𝑓 cos(𝜑𝑠𝑝 ) (A)</p>
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How is the normal force on the shear plane calculated based on the provided information?

<p>𝐹𝑐 sin(𝜑𝑠𝑝 + 𝜑𝑐𝑡 ) sin(𝜑𝑠𝑝) (B)</p>
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In the context of cutting, what does the shear velocity relate to?

<p>Shear stress (B)</p>
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What does the formula 𝐹𝑜 [ tan(ɸₖ) − sin(ɸₛ) ] represent according to the text?

<p>Shear force (D)</p>
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How is the shear plane area calculated based on the information provided?

<p>[ tan(ɸₖ) − sin(ɸₛ) ] / 𝐹ₒ = 𝐴 (A)</p>
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What is the expression for the chip compression ratio based on the content provided?

<p>[ tan(ɸₖ) − sin(ɸₛ) ] / 𝐹ₒ = 𝐴 (A)</p>
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What are some of the performance issues associated with a machined surface with poor texture?

<p>Increased wear of sliding parts and reduced corrosion resistance (C)</p>
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What is primarily concerned with the effects of a manufacturing process below the visible surface of a machined part?

<p>Surface integrity (D)</p>
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Which zone experiences mechanical, metallurgical, chemical, thermal, and electrical alterations in metal cutting processes?

<p>Shear zone (D)</p>
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Where does the instantaneous shear plane lie in metal cutting processes?

<p>Between the chip and the workpiece (D)</p>
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What happens to most of the temperature rise generated during metal cutting according to equation (2.38)?

<p>The chip absorbs most of the heat (A)</p>
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What is one consequence of undesirable levels of heat generation and cutting forces in machining processes?

<p>Distorting residual stress (B)</p>
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Study Notes

Temperature at the Shear Plane

  • The temperature at the shear plane can be calculated using the equation: 𝑇𝑠𝑝 = 𝐹𝑠𝑠𝑝 𝑉𝑠𝑝 𝑚̇𝑐𝑝𝑐 + 𝑇𝑎
  • The friction power dissipated at the chip-rake face interface is given by: 𝑃𝑟𝑓 = 𝐹𝑓𝑟𝑓 𝑉𝑐ℎ
  • The heat generation rate at the chip-rake face interface is: 𝑃𝑟𝑓 = 𝑚̇𝑐𝑝 𝑐∆𝑇𝑐ℎ

Power Consumption in Cutting Process

  • The total power drawn from the spindle motor for the cutting process is: 𝑃𝑠𝑚 = 𝐹𝑡 𝑉𝑡 = 𝑃𝑠𝑝 + 𝑃𝑟𝑓 + 𝑃𝑚𝑠 + 𝑃𝑚𝑐
  • The power terms 𝑃𝑚𝑠 and 𝑃𝑚𝑐 are negligible, so 𝑃𝑠𝑚 ≈ 𝑃𝑠𝑝 + 𝑃𝑟𝑓
  • The equation for 𝑃𝑠𝑚 can be rewritten as: 𝑃𝑠𝑚 ≈ 𝜌𝑤ℎ𝑉𝑡 𝑐[(𝑇𝑠𝑝 − 𝑇𝑎) + ∆𝑇𝑐ℎ]

Tool Life and Surface Integrity

  • The tool life is jeopardized by undesirable levels of heat generation and cutting forces
  • Instantaneous shear plane lies in the boundary between the chip and the workpiece and becomes part of the chip just after the instant
  • The friction power 𝑃𝑟𝑓 is converted to thermal energy, causing the temperature of the tool and chip to rise
  • The overall effect of the shearing process is that the material that would have been within the triangle 𝑂𝐵𝐵 ′1 is recreated within the triangle 𝑂′ 𝐵 ′2 𝐵 ′4 as a result of plane strain conditions

Shear Strain and Shear Plane Area

  • The shear strain is given by: 𝛾𝑠 = 𝛾𝑠 = 1 ̂ ′2 tan(𝜑𝑠𝑝) cos(𝜑𝑟𝑓) sin(𝜑𝑠𝑝) cos(𝜑𝑠𝑝 − 𝜑𝑟𝑓)
  • The shear plane area is given by: ℎ 𝐴𝑠𝑝 = sin(𝜑𝑠𝑝) 𝑤
  • The shear stress (assumed constant over the shear plane) is given by: 𝜏𝑠𝑠𝑝 = 𝐹𝑠𝑠𝑝 sin(𝜑𝑠𝑝) = 𝐴𝑠𝑝 ℎ𝑤 𝐹𝑠𝑠𝑝

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