Question
Download Solution PDFWhich region of the stress-strain curve as shown below represents work hardening in ductile materials?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Stress-Strain Curve and Work Hardening:
- The stress-strain curve of a ductile material is a graphical representation that illustrates the relationship between stress (force per unit area) and strain (deformation per unit length) when the material is subjected to loading. This curve is crucial in understanding the mechanical behavior of materials, particularly their elasticity, plasticity, and ultimate failure.
For ductile materials, the stress-strain curve is divided into distinct regions based on the material's response to applied stress. These regions are:
- Elastic Region (A-C): The material deforms elastically, and the deformation is reversible. The slope of this region is the material's Young's modulus. The endpoint of this region is the proportional limit or yield point (C), where the material begins to deform plastically.
- Plastic Region (C-F): The material undergoes permanent deformation. This region can be further divided into two sub-regions:
- Work Hardening Region (C-D): After yielding, the material experiences strain hardening or work hardening, where the stress required to continue plastic deformation increases with strain due to dislocation interactions in the microstructure.
- Necking Region (E-F): Beyond the ultimate tensile strength (point E), the material begins to neck, and the cross-sectional area reduces until fracture occurs (point F).
Region C-D:
- This region of the stress-strain curve represents work hardening in ductile materials. Work hardening, also known as strain hardening, occurs when the material is subjected to plastic deformation, causing an increase in dislocation density. These dislocations interact and impede the motion of other dislocations, leading to an increase in the material's strength and hardness. As a result, the stress required to deform the material further increases, causing the upward slope observed in the C-D region of the stress-strain curve.
In practical terms, work hardening enhances the mechanical properties of ductile materials, making them more resistant to further deformation. This phenomenon is widely utilized in industrial processes such as cold working, where materials are intentionally deformed to improve their strength and hardness.
Last updated on Jul 2, 2025
-> The RRB JE CBT 2 Result 2025 has been released for 9 RRBs Zones (Ahmedabad, Bengaluru, Jammu-Srinagar, Kolkata, Malda, Mumbai, Ranchi, Secunderabad, and Thiruvananthapuram).
-> RRB JE CBT 2 Scorecard 2025 has been released along with cut off Marks.
-> RRB JE CBT 2 answer key 2025 for June 4 exam has been released at the official website.
-> Check Your Marks via RRB JE CBT 2 Rank Calculator 2025
-> RRB JE CBT 2 admit card 2025 has been released.
-> RRB JE CBT 2 city intimation slip 2025 for June 4 exam has been released at the official website.
-> RRB JE CBT 2 Cancelled Shift Exam 2025 will be conducted on June 4, 2025 in offline mode.
-> RRB JE CBT 2 Exam Analysis 2025 is Out, Candidates analysis their exam according to Shift 1 and 2 Questions and Answers.
-> The RRB JE Notification 2024 was released for 7951 vacancies for various posts of Junior Engineer, Depot Material Superintendent, Chemical & Metallurgical Assistant, Chemical Supervisor (Research) and Metallurgical Supervisor (Research).
-> The selection process includes CBT 1, CBT 2, and Document Verification & Medical Test.
-> The candidates who will be selected will get an approximate salary range between Rs. 13,500 to Rs. 38,425.
-> Attempt RRB JE Free Current Affairs Mock Test here
-> Enhance your preparation with the RRB JE Previous Year Papers.