Abstract: In this note we consider two cases in the theory of the heat conduction models with three-phase-lag. For each one we propose a suitable Lyapunov function. These functions are relevant tools which allow to study several qualitative properties. We obtain conditions on the material parameters to guarantee the exponential stability of solutions. The spectral analysis complements the resul...

The material assumptions made to facilitate Thermoelastic Stress Analysis (TSA) are linear elasticity, material homogeneity and isotropy, and mechanical properties that are independent of temperature. The unusual shape memory and superelastic properties of near equiatomic NiTi alloys complicate the application of any experimental stress analysis technique, and in the case of TSA, make these ass...

In this paper, a novel mathematical—physical model of the generalized elasto-thermodiffusion (hole/electron interaction) waves in semiconductor materials is studied when hyperbolic two-temperature theory two-dimensional (2D) deformation taken into account. Shear (purely transverse) are dissociated from remainder motion and remain unaffected by external fields. The coupled system partial differe...

Photoacoustic (PA) signals of CsPbCl3 crystals have been examined in a wide temperature range of 150–300 K. The PA signals, induced by ns-pulsed laser excitation of electronic states and detected with a piezoelectric transducer, are thermoelastic ultrasonic waves lasting for hundreds of microseconds. The wavelet analysis of the PA wave has clarified that the thermoelastic wave includes several ...

Besides permitting an accurate determination of the ferromagnetic-to-paramagnetic phase transition temperature and the characteristic temperatures for the beginning and end of the growth of martensite (austenite) phase at the expense of austenite (martensite) phase while cooling (heating), the results of an extensive ac susceptibility, sound velocity and internal friction investigation of the t...

The variability of thermoelastic stresses at the Earth’s surface is investigated on different scales with a three–dimensional numerical model. Energy transfer by heat conduction and radiation of sun, atmosphere and Earth’s surface is regarded. It is shown that thermoelastic stresses are considerably high, so that they are able to assist faulting and thus force weathering of rocks. Their morphol...

SUMMARY The paper presents a new methodology for identifying sub-surface damage in composite components using a combination of Pulse Phase Thermography (PPT) and Thermoelastic Stress Analysis (TSA).