Chapter 17, Problem 17.61CP

Interpretation Introduction

Interpretation:

A computer program is to be written to calculate the properties of the laminar composite.

Concept Introduction:

Most of the properties of the laminar composites such as, density, thermal conductivity, electrical conductivity, and modulus of elasticity are estimated from the rule of mixing.

These properties parallel to the lamellae are calculated by the formulas:

$\begin{array}{c}\text{Density: }{\rho }_{C,\parallel }={\displaystyle \sum f_i{\rho }_i}\\ \text{Thermal conductivity: }{K}_{C,\parallel }={\displaystyle \sum f_i{K}_i}\\ \text{Electrical conductivity: }{\sigma }_{C,\parallel }={\displaystyle \sum f_i{\sigma }_i}\\ \text{Modulus of elasticity: }{E}_{C,\parallel }={\displaystyle \sum f_i{E}_i}\end{array}$

These properties perpendicular to the lamellae are calculated by the formulas:

$\begin{array}{c}\text{Thermal conductivity: }{K}_{C,\perp }={\displaystyle \sum \left(\frac{f_i}{K_i}\right)}\\ \text{Electrical conductivity: }{\sigma }_{C,\perp }={\displaystyle \sum \left(\frac{f_i}{{\sigma }_i}\right)}\\ \text{Modulus of elasticity: }{E}_{C,\perp }={\displaystyle \sum \left(\frac{f_i}{E_i}\right)}\end{array}$