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Callister - An introduction - 8th edition

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WHY STUDY the Thermal Properties of Materials?<br />

Of the three primary material types, ceramics are the<br />

most susceptible to thermal shock—brittle fracture<br />

resulting from internal stresses that are established<br />

within a ceramic piece as a result of rapid changes in<br />

temperature (normally upon cooling). Thermal shock is<br />

normally an undesirable event, and the susceptibility of<br />

a ceramic material to this phenomenon is a function of<br />

its thermal and mechanical properties (coefficient of<br />

thermal expansion, thermal conductivity, modulus of<br />

elasticity, and fracture strength). From a knowledge of<br />

the relationships between thermal shock parameters<br />

and these properties, it is possible (1) in some cases, to<br />

make appropriate alterations of the thermal and/or<br />

mechanical characteristics in order to render a ceramic<br />

more thermally shock resistant; and (2) for a specific<br />

ceramic material, to estimate the maximum allowable<br />

temperature change without causing fracture.<br />

Learning Objectives<br />

After studying this chapter you should be able to do the following:<br />

1. Define heat capacity and specific heat.<br />

2. Note the primary mechanism by which thermal<br />

energy is assimilated in solid materials.<br />

3. Determine the linear coefficient of thermal<br />

expansion given the length alteration that<br />

accompanies a specified temperature change.<br />

4. Briefly explain the phenomenon of thermal<br />

expansion from an atomic perspective<br />

using a potential-energy-versus-interatomicseparation<br />

plot.<br />

5. Define thermal conductivity.<br />

6. Note the two principal mechanisms of heat<br />

conduction in solids, and compare the relative<br />

magnitudes of these contributions for each of<br />

metals, ceramics, and polymeric materials.<br />

19.1 INTRODUCTION<br />

Thermal property refers to the response of a material to the application of heat. As<br />

a solid absorbs energy in the form of heat, its temperature rises and its dimensions<br />

increase. The energy may be transported to cooler regions of the specimen if temperature<br />

gradients exist, and ultimately, the specimen may melt. Heat capacity, thermal<br />

expansion, and thermal conductivity are properties that are often critical in the<br />

practical utilization of solids.<br />

19.2 HEAT CAPACITY<br />

heat capacity<br />

Definition of heat<br />

capacity—ratio of<br />

energy change<br />

(energy gained or<br />

lost) and the<br />

resulting<br />

temperature change<br />

specific heat<br />

A solid material, when heated, experiences an increase in temperature signifying<br />

that some energy has been absorbed. Heat capacity is a property that is indicative<br />

of a material’s ability to absorb heat from the external surroundings; it represents<br />

the amount of energy required to produce a unit temperature rise. In mathematical<br />

terms, the heat capacity C is expressed as follows:<br />

C dQ<br />

dT<br />

(19.1)<br />

where dQ is the energy required to produce a dT temperature change. Ordinarily, heat<br />

capacity is specified per mole of material (e.g., J/mol#<br />

K, or cal/mol#<br />

K). Specific heat<br />

(often denoted by a lowercase c) is sometimes used; this represents the heat capacity<br />

per unit mass and has various units (J/kgK, cal/g#<br />

K, Btu/lb m<br />

# F).<br />

782 •

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