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Аннотация:The effect of doping on the linear and nonlinear elastic properties of titanium is studied experimentally. The test samples were made of isotropic industrial titanium alloys comprising various chemical alloying elements. Following titanium alloys were investigated: BT1-0 - commercially pure titanium, which does not contain alloying elements; BT5-1 (the Ti-Al-Sn system); OT-4 (the Ti-Al-Mn system). In these materials all independent second order elastic constants (SOEC) and third-order elastic constants (TOEC) were identified using the ultrasonic method. Experimental measurements of elastic wave velocities and their changes at applying uniaxial compression to the sample were carried out at 10 MHz using the automated ultrasonic experimental setup Ritec RAM- 5000 (USA) .
For ultrasonic measurements the samples were prepared from source materials in the form of rectangular parallelepipeds with dimensions of ribs 10×15×50 mm3. Opposite faces of the samples were polished and are strictly parallel. To determine the second-order elastic constants, the density and the velocity of longitudinal VL and shear VT bulk elastic waves were measured in these materials. Errors in the measurement of elastic wave velocities do not exceed 1%. The measured values of the velocities of longitudinal VL and shear VT elastic waves allow calculating of all independent SOEC, i.e. compliance modules of 2nd order, Young's modulus E, bulk compression ratios B and Poisson's ratios . Errors in the determination of these coefficients do not exceed 2%. All ultrasound measurements were performed by the pulse method [1].To characterize the nonlinear elastic properties of solids, TOEC are used. They determine the anharmonic properties of the crystal lattice, such as thermal expansion, ultrasound attenuation, and efficiency of the nonlinear interaction of elastic waves in solids. TOEC were determined with Thurston-Braggera method [2]. To do this, relative changes in velocity of bulk waves, depending on the applied uniaxial compression, were experimentally measured in the test samples. These measurements allowed us to calculate all independent TOEC in investigated titanium alloys.
Comparison of determined SOEC in titanium alloys VT1-0, VT5-1, OT-4 showed that they are equal within the measurement errors. However, the values of TOEC vary considerably in these alloys. A similar behavior of TOEC and SOEC were previously found by us in aluminum alloy V95 and B95/Nanodiamond Composite [3]. This indicates that TOEC is more sensitive to the composition, structure and stoichiometry of the material than SOEC.
Proceedings of the 1st Ultrasonics, 1st International Caparica Conference on ultrasonic-based applications: from analysis to synthesis