Comparison of Ultrasonic Pole Figures Based upon Ultrasonic Nondestructive Evaluation Method with Pole Figures Based upon Finite Element Polycrystal Model

摘要

The ultrasonic wave velocities in a polycrystalline aggregate are sensitively influenced by texture changes due to plastic deformation, and their relationship was systematically analyzed by Sayers [J. Phys. D : Appl. Phys. 15 (1982)]. According to Sayers's proposed model, it is possible to construct ultrasonic pole figures via the crystallite orientation distribution function (CODF), which can be derived by using ultrasonic wave velocity changes. In the previous paper, the theoretical modeling to simulate ultrasonic wave velocities propagating in solid materials under plastic deformation has been proposed by the authors and proved to be in good agreement with experimental results. In the present paper, the proposed theoretical modeling is applied to construct the ultrasonic pole figures based upon Sayers's model under various loading conditions of uniaxial tension, pure torsion, equi-biaxial tension-compression, biaxial compression and biaxial tension, respectively. To examine the accuracy and reliability of the ultrasonic pole figures simulated by the proposed theoretical modeling, the ultrasonic pole figures are compared with those analyzed by the finite element polycrystal model (FEPM). The results show a remarkable qualitative similarity among the two methods.