Journal of Materials Engineering and Performance

, Volume 22, Issue 11, pp 3237–3257 | Cite as

Effect of Chemical Composition on Texture Using Response Surface Methodology

Article

Abstract

This study explores the effect of annealing temperature and chemical composition on crystallographic texture evolution of commercially pure aluminium alloy sheets using response surface methodology (RSM). The orientation of the crystal structure in Euler space using Bunge notation has been studied to know the behavior of the metal and estimate its volume fraction. The experimental procedure involves texture analysis with respect to annealing temperature and chemical composition in correlation with the results of formability and use of RSM. The effect of important input parameters, namely, annealing temperature and chemical composition (impurities) was used for predicting the numerical models using the volume fraction of texture output from the crystallographic study using Design Expert 8.0.7.1, trial software. Also this study explains the effect of individual chemical components, namely, iron, silicon, and copper in evolution of texture components. The volume fraction of Cube {1 0 0} 〈0 0 1〉, Bs {1 1 0} 〈1 1 2〉, and S {1 2 3} 〈6 3 4〉 components increase, whenever iron and copper content increase and silicon component decreases.

Keywords

aluminium alloys recrystallization x-ray diffraction 

Nomenclature

A

First input variable (annealing temperature in K)

AAD

Absolute average deviation

Amax, Amin

Maximum and minimum coded factor

ANOVA

Analysis of variance

a, b, c

Notation for variables in coded form

ac, bc

Scattering widths

B

Second input variable (chemical composition in wt.%, impurities in wt.%)

DOF

Degree of freedom

d0

Diameter of gird in mm (before deformation)

d1

Major diameter of gird circle after deformation in mm

d2

Minor diameter of gird circle after deformation in mm

dg

Angular elemental orientation

dvg

Partial volume of all crystallites

dvg

Volume of all crystals

fc

Fiber axis

gc (or) g

Preferred orientation

GM (y)

Geometric mean of observations yi,…yn

h

The number of experimental runs

h1

Crystal direction

Ic

Volume fraction

K value (or) K

Strength coefficient value

n value

Strain hardening index or exponent value

ND

Normal direction

ODF

Orientation distribution function

P-S

Plane Strain condition

p value and F value

Results of ANOVA table

R2

Correlation coefficient power two

RD

Rolling direction

r value

Plastic strain ratio (ratio of width to thickness strain)

ri

Residual

T-C

Tension compression strain condition

T-T

Tension tension strain condition

t0 (or) Th

Thickness of sheet in mm (before deformation)

t1

Thickness of sheet after deformation in mm

V

Sample volume

y

Sample vector

Yi,exp and Yi,pred

Experimental and predicted responses

yi

Observed response

ŷi

Fitted value of ith unit

ε

True strain

ε1

True major strain

ε2

True minor strain

ε3

True thickness strain

η

Debye angle along ring

λ

Power parameter

σ

Standard deviation

σ1

True stress

ϕ1, φ (or) θ, ϕ2 (or) ψ

Euler angles by Bunge notation

ω

Axis rotation for better pole coverage

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Copyright information

© ASM International 2013

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringKongunadu College of Engineering and TechnologyThottiyam, TiruchirappalliIndia
  2. 2.Department of Production EngineeringNational Institute of TechnologyTiruchirappalliIndia
  3. 3.Department of ChemistryN.K.R Govt. Arts College (W)NamakkalIndia

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