3. A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parailel to the [100] direction. If the critical resolved shear stress for this material is 0.5 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [110], [101], and [011] directions.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Slip in Crystals: Calculating Applied Stress in FCC Metals**

**Problem Statement:**

A single crystal of a metal with a face-centered cubic (FCC) crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. Given that the critical resolved shear stress for this material is 0.5 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [1̅10], [1̅01], and [011̅] directions. 

**Analysis:**

This problem involves determining the applied stress needed to initiate slip in specific directions within a crystal structure. Understanding the orientation of the plane and the slip direction in relation to the applied stress is crucial for solving such problems in materials science.
Transcribed Image Text:**Slip in Crystals: Calculating Applied Stress in FCC Metals** **Problem Statement:** A single crystal of a metal with a face-centered cubic (FCC) crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. Given that the critical resolved shear stress for this material is 0.5 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [1̅10], [1̅01], and [011̅] directions. **Analysis:** This problem involves determining the applied stress needed to initiate slip in specific directions within a crystal structure. Understanding the orientation of the plane and the slip direction in relation to the applied stress is crucial for solving such problems in materials science.
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