.A single crystal of aluminum is oriented for a tensile test such that its slip plan normal akes and angle of 28.1° with the tensile axis. There are three possible slip directions, hich make angles of i) 62.4°, ii)72.0°, and iii)81.1° with the tensile axis Vhich of these three slip direction is most favored? f plastic deformation begins at an applied tensile stress of 1.95MPA, determine the ritical resolved shear stress of aluminum.
.A single crystal of aluminum is oriented for a tensile test such that its slip plan normal akes and angle of 28.1° with the tensile axis. There are three possible slip directions, hich make angles of i) 62.4°, ii)72.0°, and iii)81.1° with the tensile axis Vhich of these three slip direction is most favored? f plastic deformation begins at an applied tensile stress of 1.95MPA, determine the ritical resolved shear stress of aluminum.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Determining the Critical Resolved Shear Stress in Aluminum**
**Problem Statement:**
A single crystal of aluminum is oriented for a tensile test such that its slip plane normal takes an angle of 28.1° with the tensile axis. There are three possible slip directions, which make angles of:
- i) 62.4°
- ii) 72.0°
- iii) 81.1°
... with the tensile axis.
**Questions:**
1. Which of these three slip directions is most favored?
2. If plastic deformation begins at an applied tensile stress of 1.95 MPa, determine the critical resolved shear stress of aluminum.
**Analysis:**
To approach this problem, students will need to apply their understanding of slip systems in crystalline materials, as well as concepts like the Schmid factor, which relates to the orientation of slip systems relative to applied stress.
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