Question: Derive the rule-of-mixtures expression for the composite extensional modulus ?1 assuming the existence of an interphase region. The starting point for the derivation would be

Derive the rule-of-mixtures expression for the composite extensional modulus ?1 assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus ? ? . With an interphase region there is a volume fraction associated with the interphase (i.e.,?? ). For this situation: ? ? ?? ?? = 1

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 Mathematics Questions!

2- Derive the rule-of-mixtures expression for the composite extensional modulus E assuming the existence of an interphase region. The starting point for the derivation would be the model shown below....

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

1. Consider a random variable, Y, exponentially(A). That is 0 1 (Y) = Aexp(-AY.) ifY, 20 otherwise (a) Write down the In f (Y; A). (b) Write down the log likelihood function. (c) Derive an expression...

You are a new engineer working for the MoldAll Plastics Company and you have been asked to devise an experiment to determine the parameters of the power law constitutive equation for the fluid used...

TOPIC 1: THE FISHER MODEL With an initial endowment of 400 in 1 = 0, an investor can invest in the following non mutually-exclusive and divisible investment projects Casliflow at t=0 Cashflow at t=1...

P t =(D t+1 )/(1+rp+rf)+(E t P t+1 )/(1+rp+rf) assume the log (E(x))=E(log(x)) and assume no dividends are paid out. Derive a mathematical expression that describes the evolution of (log) stock...

\fCHAPTER 14 Server Farms: M/M/k and M/M/k/k In today's high-volume world, almost no websites, compute centers, or call centers consist of just a single server. Instead a \"server farm\" is used. The...

potential is: =+RTln(p/p) (a) Derive the following expression for the Gibbs energy of mixing (at constant T and p ) of two perfect gases (A and B ) versus the molar fraction of component A (xA), and...

Explicit form of rotational operator j+m -m (1.1) 1/+m 2 In this homework problem let us try to derive the explicit expression for the rotational operator using the Schwinger's oscillator model of...

Derive the rule-of-mixtures equation (?2=?2??? ?2???) for the coefficient of thermalexpansion ?2

In Example 9.6.3, we compared two samples of aluminum oxide measurements taken from Roman-era pottery that was found in two different locations in Britain. The m = 14 measurements taken from the...

Jane Wilson is the production manager for a company that produces high-fashion designer clothing for women. The product is made in small batches that are presold to high-end retailers, based on...

Entries for notes receivable, including year-end entries Interlocking Devices, a supplier of zippers for clothing, is owned and operated by Jay Dewitt. The following selected transactions were...

On October 1, 2021, Eagle Company forecasts the purchase of inventory from a British supplier on February 1, 2022, at a price of 100,000 British pounds. On October 1, 2021, Eagle pays $1,800 for a...