Consider the following statements regarding ductility and brittleness : 1. Ductility is a measure of the degree of plastic deformation that has been sustained at fracture. 2. A material that experiences very little or no plastic deformation upon fracture is termed brittle. 3. Brittleness is expressed quantitatively as either percent elongation or percent reduction in area. Which of the above statements is/are correct?
Material Properties: Ductility and Brittleness Explained
This solution analyzes the statements concerning material ductility and brittleness.
Statement 1 Analysis: Ductility Definition
Ductility is defined as a material's ability to undergo significant plastic deformation before fracture occurs. This means the material can be stretched or drawn into a wire without breaking. Statement 1 accurately describes this property.
Statement 2 Analysis: Brittleness Definition
A brittle material is characterized by minimal or no plastic deformation prior to fracturing. Such materials tend to break suddenly with little warning when subjected to stress. Statement 2 correctly defines brittleness in this context.
Statement 3 Analysis: Quantifying Brittleness
While percent elongation and percent reduction in area are direct quantitative measures of ductility, they are inversely related to brittleness. A material exhibiting very low percent elongation or percent reduction in area is considered brittle. Therefore, statement 3 is considered correct as these metrics indicate the degree of brittleness when their values are minimal.
Conclusion on Correct Statements
Based on the analysis:
- Statement 1 is correct.
- Statement 2 is correct.
- Statement 3 is correct, as low values of percent elongation and reduction in area signify brittleness.
Thus, all three statements (1, 2, and 3) are correct.
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