*Article* **Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip**

**Shih-Chieh Hsiao, Sin-Ying Lin, Huang-Jun Chen, Ping-Yin Hsieh and Jui-Chao Kuo \***

Department of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, Taiwan; sshawnnccatt@hotmail.com (S.-C.H.); annie30207@gmail.com (S.-Y.L.); ironcobra@livemail.tw (H.-J.C.); freeonmaxs@yahoo.com.tw (P.-Y.H.)

**\*** Correspondence: jckuo@mail.ncku.edu.tw

**Abstract:** A modified Taylor model, hereafter referred to as the MTCS (Mechanical-Twinning-with-Coplanar-Slip)-model, is proposed in the present work to predict weak texture components in the shear bands of brass-type fcc metals with a twin–matrix lamellar (TML) structure. The MTCS-model considers two boundary conditions (i.e., twinning does not occur in previously twinned areas and coplanar slip occurs in the TML region) to simulate the rolling texture of Cu–30%Zn. In the first approximation, texture simulation using the MTCS-model revealed brass-type textures, including Y{1 1 1} <1 1 2> and Z{1 1 1} <1 1 0> components, which correspond to the observed experimental textures. Single orientations of C(112) 1 1 1 and S'(123) 4 1 2 were applied to the MTCS-model to understand the evolution of Y and Z components. For the Y orientation, the C orientation rotates toward T(5 5 2)[1 1 5] by twinning after 30% reduction and then toward Y(1 1 1)[1 1 2] by coplanar slip after over 30% reduction. For the Z orientation, the S' orientation rotates toward T'(321) 2 1 4 by twinning after 30% reduction and then toward Z(111) 1 0 1 by coplanar slip after over 30% reduction.

**Keywords:** brass-type shear band; twin–matrix lamellae; coplanar slip; Taylor model; Cu–Zn alloy; cold-rolling texture; X-ray diffraction
