Wave Fields in Diagnostics of Inhomogeneous Thermoelastic Materials
Keywords:
FINITE ELEMENT, NUMERICAL ANALYSIS, MATHEMATICAL MODELLING OF EMERGENCY SITUATIONS, THERMOELASTICITY, WAVE FIELDS, DIAGNOSTICS, INHOMOGENEOUS MEDIA, NUMERICAL MODELLING, NON-DESTRUCTIVE TESTINGAbstract
The article is devoted to the development of the method for wave diagnostics of hidden defects and inhomogeneities in materials operating under conditions of intense thermoelastic loading. The relevance of the study is determined by the need to improve the reliability of non-destructive testing of structural elements of automobiles, aerospace technology, power equipment and microelectronics, subject to the simultaneous impact of high temperatures and mechanical loads.
This paper presents a numerical simulation of a coupled thermoelastic problem for a Ti-Pb-Ti composite structure using the finite element method in ANSYS Workbench. The sequential coupled analysis is implemented: the first stage solved a transient thermal conductivity problem under pulsed thermal action at the left boundary, and the second stage solved a dynamic thermoelasticity problem taking into account the resulting temperature field.
The study established patterns of wave field propagation in a heterogeneous thermoelastic medium. It is found that interfaces between materials with different thermophysical and mechanical properties (titanium-lead) are sources of secondary waves and zones of localized stress concentration. It is shown that the central lead zone, which has a high coefficient of thermal expansion and a low modulus of elasticity, acts as an accumulator of elastic energy, which leads to the occurrence of long-term damped oscillations.
It is demonstrated that a pulsed thermal shock generates a compression wave, the parameters of which (propagation velocity, amplitude, front shape) depend significantly on the acoustic impedance of the materials. When crossing interfaces, a change in wave front velocity is observed, allowing structural inhomogeneities to be identified based on wave field distortions. Particular attention is paid to the analysis of stress concentrations at the corner points of the area, caused by singularities in temperature gradients.
The obtained results provide the basis for developing a diagnostic algorithm that allows for reconstructing the characteristics of internal material inhomogeneities under thermoelastic loading using wave field parameters. The
proposed approach can be used in developing systems for monitoring the technical condition of critical structural
elements operating under extreme temperature conditions.
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