A modified model for simulating the effect of temperature on ultrasonic attenuation in 7050 aluminum alloy

Abstract

Knowing propagating properties of an ultrasonic wave can enhance the non-destructive testing techniques in alloy materials field, such as the electromagnetic acoustic transducer techniques, and the piezoelectric ultrasonic transducer techniques. When temperature is taken into consideration, the ultrasonic propagating attenuation become very complex process. In this paper, a loss factor coefficient function with change in temperatures is established and the loss factor damping model with temperature term is coupled into the equations of elastic wave motion. A modified frequency domain model for calculating the ultrasonic attenuation due to temperature changes in 7050 Aluminum alloy is then developed. The model is validated experimentally using a high power pulse transmitter/receiver RPR-4000, a resistant high temperature electromagnetic acoustic transducer set-up and a 7050 Aluminum alloy sample. The simulation and the experimental results are determined to be in good agreement. The numerical model is used to calculate the ultrasonic-waves field, the ultrasonic attenuation, and the ultrasonic propagation directivity considering the temperature effect. The modeling results indicate that the ultrasonic energy attenuation is significantly affected by temperature. When the temperature increases from 20 • C up to 480 • C, the ultrasonic energy attenuates by 32.31%. It is also found that the length of near acoustic field increases with the increase in temperature. There is a common basic mode for the attenuation of ultrasonic waves, in which the attenuated mode cannot be affected by other factors. Increasing the temperature or the frequency, the ultrasonic propagation can obtain an excellent directivity. Results obtained from the present model will provide a comprehensive understanding of design parameter effects and consequently improve the design/performance in the non-destructive testing techniques.

Linear theory of micropolar media with internal nonlocal potential interactions

“…In ( 47) and ( 48) we denote 𝑢 𝑢 𝑢 ≡ 𝑢 𝑢 𝑢 1 , 𝛽 𝛽 𝛽 ≡ 𝛽 𝛽 𝛽 1 . As a result, the definition (42) of the bulk density of internal potential energy takes a local form corresponding to the representation (10), the polynomial of the second degree with respect to the arguments (9).…”

“…It is assumed that the tensors listed in (9) are small in norm. Models of solid materials that use the tensor (∇𝑢 𝑢 𝑢) S as kinematics characteristics -for nonpolar materials, and the set (9) (except for ∇ 2 𝑢 𝑢 𝑢) -for polar materials, exist and can be used to study the effect of dielectric polarization induced by an electric field.…”

“…Because of the relevance and promising application of the results, numerous studies have been and continue to be conducted widely in this direction. Examples are given in [1][2][3][4][5][6][7][8][9]. The physical laws that explain the relationship between the effects and the reasons that caused them are known.…”

Developing a supervised machine‐learning model capable of distinguishing fiber orientation of polymer composite samples nondestructively tested using active ultrasonics

“…CWT allowed for greater frequency resolution at the lower frequencies due to the longer time windows compared with STFT which used smaller discrete windows, and so provided more precise frequency information. [67] The amplitude values of CWT were taken in the identical manner to the ANN-STFT approach. CNNs were not pursued for the CWT due to the improved results seen with the ANN modeling and is discussed in Section 5 and 6.…”

“…CWT allowed for greater frequency resolution at the lower frequencies due to the longer time windows compared with STFT which used smaller discrete windows, and so provided more precise frequency information. [ 67 ]…”