Question: In a 1 2 0 m m 3 isotropic solid, a uniform stress tensor is given as: i j = [ 1 0 - 5

In a 120mm3 isotropic solid, a uniform stress tensor is given as:
ij=[10-510-520-1510-1530]MPa
a) calculate the volume change due to this stress field.
b) calculate the lame constant . and v=0.28
In a 120mm3 isotropic solid, a uniform stress tensor is given

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

Q:

Problem 2. Let 0 1 1 [T] = 1 02 MPa 1 2 0 be the matrix representation of the Cauchy stress tensor at a material point P = x of a body B with respect to an orthonormal basis {1, 2, 3}. Please answer...

Q:

1. Draw the following stress tensor on a cube (representng a point in the ground). Find out the principal stresses and their directions for the stress tensor below. The stress values are in ksi or...

Q:

solve all of these remarked questions otherwise skip this to avoid dislike. E22,3131 = (E23.1-E31.2 + E12,3),123 E13,1212 = (E23,1 + E31.2 - E12,3),123 to) Exercises 1. The deformation of a body is...

Q:

3. A stress state is given as 2 -1 0 -1 2 0 00 -1 where o is some stress value. (a) Determine the principal stresses and the corresponding principal direc- tions. (b) Determine the principal...

Q:

Discuss the conservation of energy and linear momentum for a macroscopic system of sources and electromagnetic fields in a uniform, isotropic medium described by a permittivity e and a permeability...

Q:

Problem 2 Let the Cauchy stress tensor T be given in terms of the canonical basis by U 1 1 [T]: 0 1 2 12 3 1. Find the principal values and principal directions of the stress tensor. 2. Find the...

Q:

7. An external force of F is applied to a cube as shown on the figure. Material is isotropic. Determine strain and stress tensor (matrix form, = [01,02, ..., 06]) qualitatively (+, -, 0). (Mind the...

Q:

3. The load-elongation curve represents results of a tensile test of a cylindrical specimen (initial diameter is 4 mm, gauge length is 25 mm). Estimate the Young's modulus. (3 points) Load (kN) 2.5...

Q:

(2) Given a Cartesian coordinate system, a state of stress that corresponds to what is called plane stress is given by = 11 012 0 022 0 0 0 FIGURE 1. 012 0 It is of interest to express this stress...

Q:

230 CHAPTER 4. LINEAR PARTIAL DIFFERENTIAL EQUATIONS Only if A(t) = 0 will they all satisfy the same boundary condition! Principle 24 Any sum of solutions to a homogeneous partial dierential equation...

Q:

15-29 Fixed-cost allocation. Baker University completed construction of its newest administrative building at the end of 2013. The University's first employees moved into the building on January 1,...

Q:

Show that, if X 0, then P(X a) E(X)/a.

Q:

QUESTION 1 8 What is the default access level for a new object in an S 3 bucket? Public - read Authenticated - read Private None of the above

Q:

SIMAD UNIVERSITY Class: BACC25 Subject: Islamic Accounting Instructions: a) Follow The Instructions. Midterm Exam Instructor: All Ibrahim Date: 6-4-2022 b) You Have 1.5 Hrs. To Complete This Test. c)...

Q:

8. Why do some people in the United States prefer not to talk about history? What views of social reality and intercultural communication does this attitude encourage?

Q:

1. Cultural-Group History. This exercise can be done by individual students or in groups. Choose a cultural group in the United States that is unfamiliar to you. Study the history of this group, and...

Q:

e. What are notable achievements of the group?