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

Crystals ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 1351
Author(s):  
Shih-Chieh Hsiao ◽  
Sin-Ying Lin ◽  
Huang-Jun Chen ◽  
Ping-Yin Hsieh ◽  
Jui-Chao Kuo
Keyword(s):  
Boundary Conditions ◽  
Shear Bands ◽  
Rolling Texture ◽  
Mechanical Twinning ◽  
Taylor Model ◽  
Slip Model ◽  
Fcc Metals ◽  
Model Based ◽  
First Approximation ◽  
Zn Alloy

A modified Taylor model, hereafter referred to as the MTCS(Mechanical-Twinning-withCoplanar-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 (1 1 2)[1 ¯ 1 ¯ 1] and S’ (1 2 3)[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’ (3 2 1)[2 1 ¯4¯] by twinning after 30% reduction and then toward Z (1 1 1)[1 0 1¯] by coplanar slip after over 30% reduction.

Rolling Texture Transition in FCC Metals Using the Viscoplastic Φ-Model and Considering Mechanical Twinning

2011 ◽  
Vol 702-703 ◽  
pp. 241-244 ◽  
Author(s):  
W. Wen ◽  
S. M’Guil ◽  
S. Ahzi
Keyword(s):  
Plane Strain ◽  
Compression Test ◽  
Large Range ◽  
Rolling Texture ◽  
Deformation Twinning ◽  
Mechanical Twinning ◽  
Fcc Metals ◽  
Self Consistent ◽  
Plane Strain Compression Test ◽  
Texture Transition

The viscoplastic Φ-model belongs to the same class of self-consistent models but it is based on a new theory without the Eshelby scheme. The Φ-model, by varying the parameter Φ, can predict a very large range of the texture components: from the lower (Φ →1) to the upper (Φ→0 ) bounds results. In this work, we adapt the Φ-model to take into account the mechanical twinning. This extended Φ-model is used to predict textures in FCC metals under plane strain compression test. We show that the deformation twinning plays an important role in the formation of brass-type texture.

The contribution of macroscopic shear bands to the rolling texture of FCC metals

1977 ◽  
Vol 11 (7) ◽  
pp. 581-585 ◽  
Author(s):  
J. Gil Sevillano ◽  
P. Van Houtte ◽  
E. Aernoudt
Keyword(s):  
Shear Bands ◽  
Rolling Texture ◽  
Fcc Metals

Role of Deformation Twinning in Cold Rolling and Recrystallization of Titanium

2005 ◽  
Vol 495-497 ◽  
pp. 651-656 ◽  
Author(s):  
Y.B. Chun ◽  
S. Lee Semiatin ◽  
Sun Keun Hwang
Keyword(s):  
Heat Treatment ◽  
Cold Rolling ◽  
Texture Component ◽  
Recrystallization Texture ◽  
Rolling Texture ◽  
Mechanical Twinning ◽  
Treatment Temperature ◽  
Recrystallization Annealing ◽  
Cp Ti ◽  
Evolution Of Microstructure

The evolution of microstructure and texture during cold rolling and recrystallization annealing of commercial-purity Ti (CP-Ti) was established. Cold rolling to 40% reduction activated mechanical twinning- mostly > 3 2 11 < } 2 2 11 { compressive twins and > 1 1 10 < } 2 1 10 { tensile twins. The formation of twins resulted in an inhomogeneous microstructure, in which only the localized regions containing twins were refined and the regions deformed by slip remained coarse. The twinned grains, containing high stored energy and numerous high-angle grain boundaries, became the preferential sites of nucleation during subsequent recrystallization. During recrystallization heat treatment at 500~700°C, the cold-rolling texture (ϕ1=0°, Φ=35°, ϕ2=30°) diminished in intensity, whereas a recrystallization texture component (ϕ1=15°, Φ=35°, ϕ2=35°) appeared. The recrystallization heat treatment temperature affected the rate of recrystallization but not the texture characteristics per se. During the subsequent grain growth stage, the recrystallization texture component increased. This behavior was attributed to the growth of larger-than-average grains of this particular crystal orientation.The evolution of microstructure and texture during cold rolling and recrystallization annealing of commercial-purity Ti (CP-Ti) was established. Cold rolling to 40% reduction activated mechanical twinning- mostly > 3 2 11 < } 2 2 11 { compressive twins and > 1 1 10 < } 2 1 10 { tensile twins. The formation of twins resulted in an inhomogeneous microstructure, in which only the localized regions containing twins were refined and the regions deformed by slip remained coarse. The twinned grains, containing high stored energy and numerous high-angle grain boundaries, became the preferential sites of nucleation during subsequent recrystallization. During recrystallization heat treatment at 500~700°C, the cold-rolling texture (ϕ1=0°, Φ=35°, ϕ2=30°) diminished in intensity, whereas a recrystallization texture component (ϕ1=15°, Φ=35°, ϕ2=35°) appeared. The recrystallization heat treatment temperature affected the rate of recrystallization but not the texture characteristics per se. During the subsequent grain growth stage, the recrystallization texture component increased. This behavior was attributed to the growth of larger-than-average grains of this particular crystal orientation.

Three alternative versions of the theory for a Timoshenko–Ehrenfest beam on a Winkler–Pasternak foundation

2020 ◽  
pp. 108128652094777
Author(s):  
Giulio Maria Tonzani ◽  
Isaac Elishakoff
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Detailed Comparison ◽  
Vibration Frequencies ◽  
Pasternak Foundation ◽  
New Model ◽  
Simply Supported ◽  
Model Based

This paper analyzes the free vibration frequencies of a beam on a Winkler–Pasternak foundation via the original Timoshenko–Ehrenfest theory, a truncated version of the Timoshenko–Ehrenfest equation, and a new model based on slope inertia. We give a detailed comparison between the three models in the context of six different sets of boundary conditions. In particular, we analyze the most common combinations of boundary conditions deriving from three typical end constraints, namely the simply supported end, clamped end, and free end. An interesting intermingling phenomenon is presented for a simply-supported (S-S) beam together with proof of the ‘non-existence’ of zero frequencies for free-free (F-F) and simply supported-free (S-F) beams on a Winkler–Pasternak foundation.

Evolution of the Plastic Deformation Mechanisms in a Compressed Mg-10Gd-2Y-0.5Zr Alloy

2012 ◽  
Vol 510 ◽  
pp. 628-633
Author(s):  
Qing Yu Hou ◽  
Jing Tao Wang ◽  
Zhen Yi Huang
Keyword(s):  
Plastic Deformation ◽  
Dynamic Recrystallization ◽  
Basal Slip ◽  
Shear Bands ◽  
Testing Temperature ◽  
Mechanical Twinning ◽  
Deformation Mechanisms ◽  
Strain Rates ◽  
Local Zone ◽  
Local Shear

This paper investigates the evolution of the deformation mechanisms in a homogenized Mg-10Gd-2Y-0.5Zr alloy ingot compressed at 300-500 °C and 0.1-20 s-1. It can be found that the basal slip and mechanical twinning are the major deformation mechanisms in the alloy compressed at 300 and 0.1-20 s-1. Increasing the testing temperature to 350 °C, basal slip, non-basal slip and mechanical twinning control the plastic deformation of the alloy compressed at 0.1-20 s-1. When the testing temperatures increase further to 400-500 °C, the mechanical twinning is replaced gradually by the local shear bands which are formed by dynamic recrystallization (DRX) grains (referred as transformation bands). The transformation bands have the trend to form the typical DRX microstructure with increasing the temperatures (might be caused by increasing testing temperatures or strain rates). Besides, the transformation bands can also be found in the sample compressed at 350 °C and 20 s-1when the temperature in the deformation alloy is high enough to activate non-basal slip and form DRX grains at local zone.

A Texture Evolution Study Using the Texture Component Crystal Plasticity FEM

2005 ◽  
Vol 495-497 ◽  
pp. 937-944 ◽  
Author(s):  
Franz Roters ◽  
Heyon S. Jeon-Haurand ◽  
Dierk Raabe
Keyword(s):  
Boundary Conditions ◽  
Crystal Plasticity ◽  
Texture Component ◽  
Hot Rolling ◽  
Texture Evolution ◽  
Texture Mapping ◽  
Rolling Texture ◽  
Fem Simulations ◽  
Evolution Study ◽  
Crystal Plasticity Fem

Crystal plasticity FEM simulations of plane strain compression were performed. The Texture Component Crystal Plasticity-FEM was used for the texture mapping. Two different starting textures (random and hot rolling texture) were studied using four different FE meshes and two different sets of boundary conditions. While for the random starting texture the evolution of the texture with deformation was found to be rather similar in all cases studied, the simulations using an experimental hot rolling texture as staring texture are much more sensitive to the boundary conditions and probably also to changes in the mesh geometry.

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