This chapter contains problems that illustrate the calculation or determination of such items as ideal critical diameter, the Jominy curve, and the severity of quench by methods. It presents solutions for the calculation of the effect of prior austenite grain size, carbon content, chromium content, and molybdenum content on ideal critical diameter. The chapter also contains solutions for calculation of Jominy curves and determination of minimum hardness of quenched steels, tempered hardness, ideal critical diameter, severity of quench, heat treatment, and effect of tempering during heat-up to tempering temperature.

The crux of this chapter is to develop a method to quantitatively define hardenability. The chapter includes the empirical methods to estimate the hardenability knowing the chemical composition, describes prior austenite grain size, and examines their utility. It then reviews the Jominy end-quench test and explains its relation to hardenability. The chapter outlines the concepts of the critical diameter and the ideal critical diameter, leading to establishing a quantitative measure of hardenability. Next, it examines methods that have been developed which allow estimation of the ideal critical diameter from the chemical composition and the austenite grain size. The chapter reviews the methods which allow calculation of the Jominy curve from a value of the ideal critical diameter. Additionally, it describes the selection and application of H-band steels. Finally, the chapter describes the effect of boron on the hardenability of steels.

This chapter discusses the processes involved in the calculation of cooling and heating curves and the estimation of austenitizing time. The chapter discusses the transformation of austenite, describing nucleation and growth rates. The chapter examines the calculation of the amount of martensite and retained austenite, and hardenability calculations. It reviews models for tempering of steels, estimation of mechanical properties, the hardness of martensite, and factors to consider to be able to calculate the residual stresses. It provides information on Kirkaldy’s model used for calculating Jominy curves. Tables for calculating the temperature distribution in steels as a function of time during heating and cooling are also included.

This chapter describes how the phases are arranged into desired microstructures during the heat treatment of tool steels. It describes the microstructural changes that are the objectives of the austenitizing, quenching, and tempering steps of tool steel hardening. The chapter covers austenite composition, retained austenite, and austenite grain size and grain growth. It provides information on the hardness and hardenability of tool steel. The chapter reviews some of these concepts and describes the microstructural appearance of the products of diffusion-controlled transformation of austenite. The role that diffusion-controlled phase transformations play relative to the hardenability of high-carbon and alloy tool steels is then emphasized. It presents general considerations of transformation diagrams, Jominy curves, and the hardenability of tool steels. The factors related to the kinetics and stabilization of martensite transformation are also covered. It briefly reviews selected aspects of the changes that evolve during tempering.