7.1 Introduction

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So far, the temperature has been considered as known. This is generally not the case. Usually,

one knows thermal boundary conditions such as the environmental temperature or the

value of a heat source, but not the temperature field in the entire body. This is the subject

of heat-transfer calculations. Often, heat-transfer calculations are performed independently

of stress calculations: they yield the temperature field, which serves as an input to the stress

calculations through the force term in Equation (2.23). Also, material properties such as

Young’s modulus and other stress–strain curve characteristics change with temperature.

Nonuniform temperature fields, especially, often induce considerable stress. In a few cases,

the converse also applies: deformations lead to a temperature rise, for example, in forging

operations. Then, there is a true mutual interaction between stress/deformation and

temperature, resulting in coupled calculations.