**Resolved Shear Stress**Experimental results on a cubic single crystal metal indicate that one of the following slip systems is active: \[ [101](11\overline{1}) \]\[ [10\overline{1}](111) \]\[ [1\overline{1}0](111) \]A stress of 2.0 MPa applied in the [321] direction is just sufficient to cause plastic deformation. Calculate the critical resolved shear stress.

Given:To find:Critical resolved shear stress.

Experimental results on a cubic single crystal metal indicate that one of the following slip systems is active: [101]111) [101111) [10](111) A stress of 2.0 MPa applied in the [321] direction is just sufficient to cause plastic deformation. Calculate the critical resolved shear stress.

Experimental results on a cubic single crystal metal indicate that one of the following slip systems is active: [101]111) [101111) [10](111) A stress of 2.0 MPa applied in the [321] direction is just sufficient to cause plastic deformation. Calculate the critical resolved shear stress.

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

See similar textbooks

Related questions

Q: The nanograined alloy is produced with porosity p=0.6. The young modules of this nanograined…

A: Young's Module is a measurement of mechanical characteristics of linear elastically solids like…

Q: Determine the Miller Index of the given direction in an HCP crystal? Write the negative sign if the…

Q: 1. What is the difference between atomic structure and crystal structure? Why are metals good…

Q: A stress of 75 MPa is applied in the [0 0 1] direction on an FCC single crystal. the resolved shear…

Q: a) Cross slip and climb are important phenomena which govern work hardening but also re and…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A piece of BCC single-crystal metal is oriented such that tensile stress is applied along a [131]…

A: Write the direction of the tensile stress. A=131 Write the plane on which slip occurs. B'=011…

Q: A material has a surface energy of 30 J/m^2 and an atomic spacing of 0.2nm.Young modulus of 375 Gpa,…

Q: A single crystal metal test sample oriented such that a tensile stress is applied in the [012]…

Q: What use of copper in engineering applications and explain how the copper materials is affecting…

A: i) Copper is known for its high thermal and electrical conductivity for engineering application.…

Q: i) Explain the Tresca and Von Mises criteria in crystal plasticity and their role in the design of…

A: While designing a component, or machine elements engineers must be aware of the mechanical…

Q: Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and…

A: Given that, Young's Modulus of aluminum, E=70 GPa,Poisson's ratio, μ=0.3,Measured yield strength of…

Q: If a rod of single-crystal copper (FCC) is pulled in tension in the [210] direction (i.e. force…

Q: Discuss which technique is most sensitive to locate the boron? How is the 'local composition…

A: a) Boron (B) can be evaluated utilizing spectrometric and colorimetric techniques. Inductively…

Q: b- An ASTM grain size determination is being made from a photomicrograph of a metal which has a…

A: Given data: Nm=64M=500 Need to determine the grain size number.

Q: List and briefly describe the four major creep deformation mechanisms active in crystalline…

A: Creep can be defines as progressive and very slow deformation of material with respect t time…

Q: A rock shows the following values: E = 41.5 x 1012 Pa, oc =145.1 × 1014 Pa and na =11.8 x 103 cm,…

Q: 7. What failure mechanism comes into play at relatively high temperatures?

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: The ductile and brittle fractures occur mainly due to 1) dislocation propagation, respectively 2)…

A: Option 2 is correct.

Q: Show your all work

A: Miller indices is a group of three numbers that indicates the orientation of a plane or set of…

Q: A single crystal of iron (BCC) is pulled along [123]. Which is the first slip system to operate? Use…

Q: Why does fracture toughness increase with yttria content. Use the phase diagram to explain

A: The crack strength improvement of yttria-balanced out tetragonal zirconia polycrystalline ceramics…

Q: What mechanism of creep can be prevented using a single crystal part? Justify your answer using…

A: The creep can be prevented or the creep resistance can be improved by using a single crystal part.…

Q: Which one of the following materials would plastic deformation through twinning be the most likely…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How does strain hardening and grain size reduction affect elastic modulus

Q: Determine the Miller Index of plane of the given plane in an HCP crystal? (1070) → (10 – 10 ) ►…

A: find the miller index of green plane For Given HCP cystal

Q: A single crystal of aluminum is loaded under a stress state such that ơi1 = 250 kPa, 022 = 50 kPa ,…

A: Write the x-coordinate of the normal unit vector to the (1 1 1) plane. Inx=1112+12+12 =13 Here,…

Q: Please provide a detailed solution. Explanation required for the formula used.

A: The ASTM grain size number (n) is related to the magnification factor (M) and the number of grains…

Q: A single crystal of BBC iron is subjected to tensile stress of 100 MPa along the [001] direction.…

A: According to the given information, we have the stress of 100MPa with stress direction [001] a) for…

Q: When a uniaxial tensile stress (of symmetry o/mmm) is applied to cubic crystal of symmetry m3m, what…

A: (a)

Q: Sketch following modes of dislocation motion and name conditions that help them occur: 1. Cross slip…

A: Cross slip Cross slip is the process by which a screw dislocation can move from one slip plane to…

Q: List the 12 slip systems for fcc. which of these will not be active if load is applied in [100]…

A: Slip occurs when some atoms slip past the other atoms on a certain plane(slip plane) in a certain…

Q: Problem 1 out of 2: A single crystal of a metal that has the BCC crystal structure is oriented such…

Concept explainers

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.

Question

**Resolved Shear Stress**

Experimental results on a cubic single crystal metal indicate that one of the following slip systems is active:

\[ [101](11\overline{1}) \]

\[ [10\overline{1}](111) \]

\[ [1\overline{1}0](111) \]

A stress of 2.0 MPa applied in the [321] direction is just sufficient to cause plastic deformation. Calculate the critical resolved shear stress.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Write the given data and what is to find

VIEW

Step 2: Determine the value of the angle between the tensile axis [321] and normal to 1st slip plane:

VIEW

Step 3: Determine the value of the angle between the tensile axis [321] and normal to 2nd slip plane:

VIEW

Step 4: Determine the value of the angle between the tensile axis [321] and normal to 3rd slip plane:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 18 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Principal Metallic Crystal Structures and Crystal Structure Analysis

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2 . Write the slip systems of the metals with crystal structures of BCC, FCC and HCP. Calculate the total number of slip systems for each case. Which among the BCC, FCC and HCP is the most ductile and why?
A sample of cold-worked metal has a dislocation density of 5x1014 [m/m3]. What is the total length of the dislocation line present in the sample of 1 cm3? If the sample is made of Cu, calculate the total stored elastic energy in [J/m] within the sample for [110] slip direction.
One slip system for the BCC crystal structure is {110} . Sketch this plane along with the BCC atoms and identify two different slip directions within this plane.
Two separate creep experiments are running on polycrystalline Ni, one at 527oC and the other at 532oC. You observe that dε/dt increases by a factor of 1.0 for the sample tested at the higher temperature. What is the activation energy Q for this creep mechanism?
(a) At the atomic level, how deformation process occurs/proceeds? (b) If we have the same materials in two different forms as a single crystal and as a polycrystalline sample, which one would have higher internal energy? Why? (c) Determine miller indices for the plane shown in red. Show your work to clarify how you came up with your answer.
The yield point for a brass alloy that has an average grain diameter of 50 micrometers is 120 MPa.
A steel with a grain size of 25 μm has a yield stress of 200 MPa and with a grain size of 9 μm a yield stress of 300 MPa. A dispersion of non-deformable particles is required to raise the strength to 500 MPa in a steel with grain size 100 μm. What would be the required dispersion spacing? (Assume the shear modulus G = 80 GPa, the Burgers vector b = 0.2nm.)Hint : Use the Hall_petch relation given below :σy = σi + kd-½where σy is the yield strength, σi is the lattice friction stress, k is constant and d is the average grain size.
Did I get these right?
Material Science - please help