Using equations (6.1.12), develop the symmetry relations (6.1.13), and use these to prove the symmetry in the
Question:
Using equations (6.1.12), develop the symmetry relations (6.1.13), and use these to prove the symmetry in the elasticity tensor Cijkl = Cklij.
Equation 6.1 .12
Equation 6.1 .13
Transcribed Image Text:
dij aU(e) ij eij aU(a) ;
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Since U is a continuous function the order of differ...View the full answer
Answered By
Carly Cimino
As a tutor, my focus is to help communicate and break down difficult concepts in a way that allows students greater accessibility and comprehension to their course material. I love helping others develop a sense of personal confidence and curiosity, and I'm looking forward to the chance to interact and work with you professionally and better your academic grades.
4.30+
12+ Reviews
21+ Question Solved
Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
Question Posted:
Students also viewed these Engineering questions
-
For positive random variables X and Y, suppose the expected value of Y given X is E(Y|X) = X. The unknown parameter u shows how the expected value of Y changes with X. (i) Define the random variable...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Using Equations (9-14) and (9-7), develop Equation (9-26). Equation (9-14) Equation (9-7) Equation (9-26) 4I Co 1.47 1/3 for Re1800
-
You are the manager of a large car dealership. At present, you rely on a large pool of dealers to sell your product, but you have noticed recently that consumer opinion appears to be turning away...
-
In Figure the pendulum with radius r = 10.0 cm and mass 500 g attached to a uniform rod with length L = 500 mm and mass 270 g.(a) Calculate the rotational inertia of the pendulum about the pivot...
-
List five basic determinants of market demand that could cause demand to decrease. (The text mentions seven possibilities.)
-
Use the technique discussed in Section9.4 to develop a GEE approach for zeroinflated Poisson model for count responses in longitudinal studies. Section9.4: 9.4 Marginal Models for Longitudinal Data...
-
The dates of importance in connection with a cash dividend declared and paid of $55,350 on a corporations common stock are February 6, March 9, and April 8. Illustrate the effects on the accounts and...
-
A 47-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.5 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her...
-
For the general anisotropic case with ij = C ijkl e kl assuming that C ijkl = C klij show that ij = U(e)/e ij .
-
For the isotropic case, express the strain energy function in terms of the principal strains, and then by direct differentiation show that: 01 au ' 02 au z' 03 au
-
Assume that you are the accountant for Ellis Corporation, which has issued its 2014 annual report. You have received an inquiry from a stockholder who has questions about several items in the annual...
-
ABC Company and XYZ Company need to raise funds to pay for capital improvements at their manufacturing plants. ABC Company is a well-established firm with an excellent credit rating in the debt...
-
Jennifer McAfee recently received her university Masters degree and has decided to enter the mortgage brokerage business. Rather than work for someone else, she has decided to open her own shop. Her...
-
SlapShot plc has a fixed cost associated with buying and selling marketable securities of 100. The interest rate is currently 0.021 per cent per day, and the firm has estimated that the standard...
-
Saint-Michel SA needs a total of 54,000 in cash during the year for transactions and other purposes. Whenever cash runs low, it sells off 20,000 in securities and transfers the cash in. The interest...
-
TByrne Ltd is currently holding 700,000 in cash. It projects that over the next year its cash outflows will exceed cash inflows by 360,000 per month. How much of the current cash holding should be...
-
Why do U.S. investors purchase ADRs in preference to the actual securities? How do ADRs come into existence?
-
You are the newly appointed tax practitioner to complete Emilys tax return and have downloaded the prefill report for Emilys tax return (hint, you can read what a prefill report is here (Links to an...
-
The amount of power transmitted by sunlight depends on latitude and the surface area of the solar collector. On a clear day at a certain northern latitude, 0.6 kW/m 2 of solar power strikes the...
-
The property of a fluid called viscosity is related to its internal friction and resistance to being deformed. The viscosity of water, for instance, is less than that of molasses and honey, just as...
-
Referring to the description in Problem P3.16, and given that the viscosity of a certain engine oil is 0.25 kg/(m s), determine the value in the units (a) Poise and (b) Slug/(ft s). Problem P3.16...
-
A measure of productive output of units for a period of time, expressed in terms of completed whole units, is the definition of ? Explain.
-
Research and analyze the immediate and macro environments of your chosen company/product.. Customers/Consumers: Who are the current customers? What is the estimated size of the market? How do...
-
A children's store has sales of $500,000, with markdowns of 14.5% and shortages of 2%. The initial markup was 51.7%. What was the maintained markup percentage
Study smarter with the SolutionInn App