Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and Poisson's ratio is 0.3. You may assume a simple cubic lattice for aluminum crystals. Compare your result with the measured yield strength of pure aluminum (~40 MPa), and explain the main cause of the difference.

Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and Poisson's ratio is 0.3. You may assume a simple cubic lattice for aluminum crystals. Compare your result with the measured yield strength of pure aluminum (~40 MPa), and explain the main cause of the difference.

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: 6. Sketch how two edge dislocations of opposite sign on the same slip plane can anihilate each othe…

A: Given Edge dislocation To find Figure to explain the phenomenon Two edge dislocation of opposite…

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: Dislocation movement is hindered by: (This question has more than one correct answer) a. Increase in…

A: A crystallographic imperfection or irregularity inside a crystal structure is known as a…

Q: A single crystal of an FCC metal isoriented so that the [001] direction is parallel to an applied…

A: Data given- A single crystal of an FCC metal applied stress - 5000 psi a=[0 0 1] b= [1 1 1] c=[1` 1…

Q: Burgers vector (using vector notation) of a screw dislocation that can cross-slip between (111) and…

A: To draw and identify the Burger vectors of a screw dislocation between (111)

Q: Does the strength of a metal always increase as dislocation density increases? Explain.

A: The strength of metal can be increased by increasing the yield strength. To increase yield strength…

Q: Consider dislocations in nickel. If the plastic flow stress is controlled by the stress necessary to…

A: The dislocation density of an element from the resolved shear stress on the slip plane can be…

Q: You may look up any parameters you need. Calculate the energy per unit length of edge and screw…

A: Assumptions:For both the dislocations, the length, diameter of the copper material is…

Q: A typical cross-head speed in a tensile testing machine is 0.2 in./min. (a) What is the…

A: "Since you have asked multiple questions, we will solve the second question (since first question is…

Q: 1. In terms of their Burger's and sense vectors, slide, and slip (also known as glide), edge…

A: Introduction In materials science and solid-state physics, dislocations are defects or…

Q: Calculate the dislocation density in tungsten if the stress is controlled by the stress necessary to…

A: Given:To determine:The dislocation density in tugsten

Q: Please show how the value of b was calculated Calculate the dislocation density in tungsten if the…

A: The already calculated solution for the given problem is as below.The expression for the dislocation…

Q: Do noncrystalline or amorphous materials have grain boundaries? Why or why not?

A: To be explained :- grain boundaries

Q: Sometimes, in the equation for resolved shear stress in a single crystal, the term cos cos is termed…

A: Given: The direction for FCC single crystal = [100]

Q: Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol.…

A: Introduction: One of the most prevalent ways for atoms to organize themselves in metals is the…

Q: Why impurities can help improve the strength of metal (e.g. carbon in iron)? Also use dislocation…

A: Given Impurities To find Advantage of impurities

Q: Why the volume change as low as 0.5 percent can cause grain fractures during phase transformation of…

A: Given data as per question volumetric change =0.5% Elastic modulus of ceramic =250 Gpa Poisson ratio…

Q: BCC Iron has a lattice parameter of .2866 nm. Calculate its planar density on (111).

A: lattice parameter, R = 0.2866 nmIn a BCC unit cell, there is one atom at each corner (1/8 of each…

Q: Calculate the fraction of atom sites tha

A: Need to find fraction of atom site.

Q: 9. Make two neat sketches to show the climbing up and the climbing down of an eage dislocalion. What…

A: The motion of an edge dislocation normal to its slip plane is called climb. Diffusion methods are…

Q: Illustrate, with the aid of a diagram, substitutional AND interstitial strengthening mechanisms in…

A: Given question: Illustrate with the aid of a diagram substitutional and interstitial strengthening…

Q: Explain the following, using dislocation theory: metal strengthening by: (a) grain size (b) solid…

A: Dislocation theory plays a crucial role in understanding various mechanisms of metal strengthening.…

Q: A single crystal of silver is oriented so that the (111) slip plane is perpendicular to an applied…

Q: Determine the Interplanar spacing and the length of the Burgers vector for slip on the preferred…

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…

Concept explainers

Plastic Deformation of Metal Single Crystals

Plastic deformation can be interpreted as the type of deformation in which invariable changes in the orientation of an element occurs due to an externally employed force. Some of the elements in which plastic deformation can be observed are concrete, rocks, metals, solids, and many others.

Question

4. Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is
70 GPa, and Poisson's ratio is 0.3. You may assume a simple cubic lattice for aluminum
crystals. Compare your result with the measured yield strength of pure aluminum (~40 MPa),
and explain the main cause of the difference.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Plastic Deformation of Metal Single Crystals

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

The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 15.7 N is applied to the rod. The cross-sectional area is 1.3 mm2. Calculate the shear stress along the close-packed direction.
Only Handwritten solutions are allowed. Strictly don't use Artificial intelligence tools.
What is slip deformation? Why does it only occur in metal and not in ionic solids?
1-Can ceramics contain dislocations? Provide reasoning.
What is cold working process for metals? Why cold working can help improve strength of the metal? Use dislocation theory to explain.
(a) Why is the carbon concentration in austenite (y-Fe) higher than in ferrite (a-Fe)? (b) Determine the volume change accompanied by the transformation of y-Fe (FCC) to a-Fe (BCC) during cooling. Note that the atomic radii for a-Fe, y-Fe, and C are 0.124nm, 0.127mm, and 0.077mm, respectively. (HINT: Because the number of atoms in FCC and BCC differs, consider volume per atom in the calculation of volume change).
A hypothetical metal alloy has a grain diameter of 2.4 × 10-2 mm. After a heat treatment at 575°C for 500 min, the grain diameter has increased to 5.6 × 10-2 mm. Compute the time required for a specimen of this same material (i.e., do = 2.4 × 10-² mm) to achieve a grain diameter of 5.5 x 10-2 mm while being heated at 575°C. Assume the n grain diameter exponent has a value of 2.2. i min
2. Sketch: a. 3 stages of single crystal stress-strain curve under uniaxial stress b. Frank-Reed mechanism for dislocation multiplication.
A metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 12020 kg/m3, and the length of a unit cell edge, ?, is 389.08 pm. Calculate the mass of one metal atom.
List the 12 slip systems for fcc. which of these will not be active if load is applied in [100] direction for a single crystal?
Help me please
The flow stress for an alloy is 115 Mpa when its dislocation density is 10^6 cm^-2 and 207 Mpa when its dislocation density is 10^8 cm^-2. When the flow stress is 359 Mpa, Find the dislocation density.