Internal Variables in Thermoelasticity by Arkadi Berezovski & Peter Ván

Author:Arkadi Berezovski & Peter Ván
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(7.55)

(7.56)

(7.57)

It should be noted that the values of excess quantities are calculated exactly [6].

7.6 Numerical Simulation

7.6.1 Reference Solution

To have a reference solution, let us consider first the propagation of a pulse in a one-dimensional medium, which can be represented as an elastic bar (cf. Chap. 1). This bar is assumed homogeneous except of a region of length d, where periodically alternating layers of size l are inserted (Fig. 7.1a). The density and longitudinal speed in the bar are chosen as 4510 kg/m and 5240 m/s, respectively, which corresponds to a titanium alloy. The corresponding parameters for the material of the inhomogeneity layers are 2703 kg/m and 5020 m/s, respectively (like for Al 6061). Initially, the bar is at the rest. The shape of the pulse before the crossing of the inhomogeneity region is formed by an excitation of the strain at the left boundary for an limited time period ()

Fig. 7.1Geometry of the bar

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