Chapter 2

Solution of sample problems in classical thermoelasticity

Abstract

This chapter is dedicated to the solution of various sample problems in the classical theory of thermoelasticity. Classical rectangular Cartesian, cylindrical and spherical coordinate systems are employed. More specifically, the first part of the chapter deals with thermoelastic problems involving bars, beams, plates, cylinders, spheres and disks. The second part focuses on simple and complex 1D, 2D and 3D steady-state and transient heat conduction problems.

Keywords

Thermal structures; Heat transfer; Static and quasi-static thermoelasticity; Dynamic thermoelasticity

2.1 Sample problems in thermoelasticity

The classical mathematical theory of three-dimensional ...

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