Theoretical study of acoustoelastic effects caused by plastic anisotropy growth (Q1084911)

The general expressions for strain-velocity relations, which are called acoustoelastic effects, of waves propagating in elasto-plastically deformed solids have been derived with aid of Jaumann co-rotational rate. In the previous paper [the author, Bull. JSME 29, 1651 ff (1986)], for the slightly orthotropic case, the theoretical results of those effects were presented and it was shown that plastic anisotropy influences the acoustoelastic effects through anisotropic stress increment terms constituting plastic strain increment. In the present paper, those anisotropic stress increment terms are defined by usig the unsymmetric yield function proposed by \textit{H. P. Shrivastava}, \textit{Z. Mróz} and \textit{R. N. Dubey} [Z. Angew. Math. Mech. 53, 625-633 (1973; Zbl 0273.73019)]; the acoustoelastic effects caused by the plastic anisotropy growth are analyzed.