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Simulation of Rayleigh wave’s acoustoelastic effect in concrete, aluminum and steel
Guadalupe Leon,Hung-Liang (Roger) Chen 국제구조공학회 2024 Structural Engineering and Mechanics, An Int'l Jou Vol.91 No.4
In this study, a finite-element surface wave simulation using an effective elastic constant (EEC) was developed to calculate the Rayleigh wave velocity change and polarization change in aluminum, steel, and concrete under uniaxial stress. Under stress, an isotropic medium behaves like an anisotropic material during the wave propagation. The EEC is an equivalent anisotropic stiffness matrix which was derived to simulate the acoustoelastic effect using classical finite-element software. The vertical and horizontal surface displacements located 8-mm from a 1-μs excitation load were used to find the acoustoelastic coefficients and and compared to an analytical scheme. It was found that for aluminum and concrete matched within 4% of the analytical solution. The finite-element simulation showed that the Rayleigh wave arrival time for concrete and aluminum was greatly influenced by the stress level. Thus, predicting the stress level using concrete and aluminum’s acoustoelastic effect is applicable.
Prediction of elastic constants of Timoshenko rectangular beams using the first two bending modes
Hung-Liang (Roger) Chen,Guadalupe Leon 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.80 No.6
In this study, a relationship between the resonance frequency ratio and Poisson’s ratio was proposed that can be used to directly determine the elastic constants. Using this relationship, the frequency ratio between the 1st bending mode and 2nd bending mode for any rectangular Timoshenko beam can be directly estimated and used to determine the elastic constants efficiently. The exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The highest percent difference for the frequency ratio between the theoretical values and the estimated values for all the beam dimensions studied was less than 0.02%. The proposed equations were used to obtain the elastic constants of beams with different material properties and dimensions using the first two measured transverse bending frequencies. Results show that using the equations proposed in this study, the Young’s modulus and Poisson’s ratio of rectangular Timoshenko beams can be determined more efficiently and accurately than those obtained from industry standards such as ASTM E1876-15 without the need to test the torsional vibration.