Coda wave interferometry (CWI) has been used to measure the relative wave-velocity change ($dV/V$) caused by small changes in materials. This study uses the stretching processing technique which has been used for CWI analysis to investigate velocity changes of direct longitudinal (P) wave, direct shear (S) wave, and coda wave in concrete by choosing different time windows of ultrasonic signals. It is found that the obtained wave-velocity change depends on the time window position, because the relative contribution of P wave and S wave is different in each signal window. This paper presents three experimental scenarios of velocity change in concrete: early-age hydration, temperature change, and uniaxial loading. In early-age concrete, the S wave has a larger relative velocity change than the P wave, which is consistent with the microstructure development due to the hydration process. Temperature change causes a larger $dV/V$ on the P wave than on the S wave, and the difference between P and S wave-velocity changes may be used to determine nonlinear elastic constants of materials. In the uniaxial loading experiment, analysis of the direct P wave can distinguish the acoustoelastic effects in the stress direction and the non-stress direction, which may potentially be used for stress evaluation in prestressed structures. However, the coda wave does not show this directional property to stress due to multiple scattering in the medium.

Third-order elastic constants (TOEC) play an important role in nonlinear material characterization, but measurements of TOEC are laborious with large error margins. This Letter presents the equations of wave velocity changes caused by homogeneous temperature variation and uniaxial stress in isotropic media and the expression of TOEC in terms of thermally induced velocity change and thermal strain. TOEC of an aluminum sample were experimentally determined by measuring ultrasonic wave velocity changes in the uniaxial loading test and the thermal modulation test. Experimental results showed good agreement between the two test methods. Owing to the simple test setup and high measurement sensitivity, the thermal modulation test is a potential experimental method to determine TOEC and absolute acoustic nonlinearity parameters.

This study develops a new method to determine the acoustoelastic coefficient in concrete using thermally-induced ultrasonic bulk wave velocity changes. This paper presents the equations of wave velocity changes caused by homogeneous temperature variation and uniaxial strain in an isotropic medium. The acoustoelastic coefficient of a concrete sample was calculated using the third-order elastic constants (l, m and n) which were determined in the thermal modulation test. The acoustoelastic coefficient of the same sample was then experimentally verified in a four-point bending test. The results showed that relative wave velocity change predicted by the third-order elastic constants from the thermal modulation test agreed well with the experimental value from the bending test.