Question:
Which method permits point-by-point calculation of stress but is limited to plane-strain conditions only?
Which method permits point-by-point calculation of stress but is limited to plane-strain conditions only?
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Slip-line theory is widely used in metal forming analysis.
Updated On: Jun 29, 2026
- Slip-line field theory
- Uniform-deformation energy method
- Slab method
- Finite element methods
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The Correct Option is A
Solution and Explanation
Concept:
Slip-line field theory is used in plasticity for plane strain deformation of rigid perfectly plastic materials.
Step 1: Understand slip-line field theory.
It provides:
• point-by-point stress solution
• velocity and stress field in plastic deformation
Step 2: Limitation.
It is valid only for:
• plane strain conditions
• rigid-perfectly plastic materials
Step 3: Compare methods.
• Slab method → average stress
• Energy method → global energy balance
• FEM → general numerical method Final Answer: \[ \boxed{\text{Slip-line field theory}} \]
Step 1: Understand slip-line field theory.
It provides:
• point-by-point stress solution
• velocity and stress field in plastic deformation
Step 2: Limitation.
It is valid only for:
• plane strain conditions
• rigid-perfectly plastic materials
Step 3: Compare methods.
• Slab method → average stress
• Energy method → global energy balance
• FEM → general numerical method Final Answer: \[ \boxed{\text{Slip-line field theory}} \]
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