APPENDIX-II. % This script will calculate some of the mechanical characteristics of Alumina-Zirconia nanocomposite particles.
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1 APPENDIX-I % This script will convert.wave files into frequency domain and time domain characteristics. clear all clc [wave,fs]= wavread ('C:\Users\ADMIN\Desktop\rcp1-1.wav'); sound (wave,fs); t=0:1/fs:(length(wave)-1)/fs; yy1 = smooth (t,wave,20,'rloess'); figure(1); [tt,ind] = sort (t); plot (tt,yy1(ind),'k-') title ('Magnitude in Time Domain'); ylabel ('Amplitude'); xlabel ('Time (in seconds)'); n=length (wave)-1; f= 0:fs/n:fs; wavefft= abs(fft(wave)); Vdb= (wavefft); yy2 = smooth (f,vdb,50,'rloess'); figure(2); [ff,ind] = sort(f); plot (ff,yy2(ind),'k-') title ('Magnitude in Time Domain'); ylabel ('Amplitude'); xlabel ('Time (in seconds)'); 184
2 APPENDIX-II % This script will calculate some of the mechanical characteristics of Alumina-Zirconia nanocomposite particles. clear all clc echo off set(0,'defaultaxesfontsize',12); set(0,'defaulttextfontsize',12); disp ('This script will calculate some of the mechanical properties of Alumina-Zirconia nanocomposite particles.') % Volume fraction of zirconia, vn % vn=volume of zirconia/volume of the composite particles rhon=input('enter the density of zirconia (kg/m^3), \rho_n= '); wn=input('enter the weight of zirconia (kg), Wn= '); % volume of zirconia Vn, Vn=wn/rhon; rhor=input('enter the density of alumina (kg/m^3), \rho_r= '); wr=input('enter the weight of alumina (kg), Wr= '); % volume ofalumina, Vr Vr=wr/rhor; % volume of nanocomposite particles Vc,mg Vc=Vn+Vr; % Volume fraction of alumina, vm vr=vr/vc; vn=linspace(0.00,0.2,11); sigman=input('enter the Tensile strength of zirconia(mpa),\sigma_n= '); sigmar=input('enter the Tensile strength of alumina matrix (MPa), \sigma_r= '); Hdn=input('Enter the Hardness of zirconia(mpa), \Hd_n= '); Hdr=input('Enter the Hardness of alumina matrix (MPa), \Hd_r= '); Fxn=input('Enter the Flexural strength of zirconia(mpa), \Fx_n= '); Fxr=input('Enter the Flexural strength of alumina matrix (MPa),\Fx_r= '); 185
3 En=input('Enter the Elastic modulus of zirconia (MPa), En= '); Er=input( 'Enter the Elastic modulus of alumina (MPa), Er= '); Gn=input('Enter the Shear modulus for zirconia, (MPa) Gn= '); Gr=input('Enter the Shear modulus for alumina, (MPa) Gr= '); lambdan=input('enter the Thermal conductivity for zirconia, W/mK \lambda_n= '); lambdar=input('enter the Thermal conductivity for alumina, W/mK \lambda_r= '); Ftn=input('Enter the fracture toughness for zirconia, \Ft_n= '); Ftr=input('Enter the fracture toughness for alumina, \Ft_r= '); nun=input('enter the Poisson s ratio for zirconia, \nu_n= '); nur=input('enter the Poisson s ratio for alumina, \nu_r= '); % Density of Nanocomposite ed=(rhon-rhor)./(rhon+psi*rhor); rhoc = (1.+psi.*ed.*vn).*rhor./(1.-ed.*vn); figure(1) plot(vn,rhoc) ylabel('density of Nanocomposite ( \rho_c- kg/m^3)') title('volume fraction of zirconia vs. Density of Nanocomposite') % Tensile Strength of Nanocomposite ets=(sigman-sigmar)./(sigman+psi*sigmar); sigmats=(1.+psi.*ets.*vn).*sigmar./(1.-ets.*vn); figure(2) plot(vn,sigmats) ylabel('tensile Strength ( \sigma_t_s- MPa)') title('volume fraction of zirconia vs. Tensile Strength') % Hardness of Nanocomposite ehd=(hdn-hdr)./(hdn+psi*hdr); Hdc=(1.+psi.*eHd.*vn).*Hdr./(1.-eHd.*vn); figure(3) 186
4 plot(vn,hdc) ylabel('hardness ( \H_d c- MPa)') title('volume fraction of zirconia vs. Hardness') % Flexural Strength of Nanocomposite efx=(fxn-fxr)./(fxn+psi*fxr); Fxc=(1.+psi.*eFx.*vn).*Fxr./(1.-eFx.*vn); figure(4) plot(vn,fxc) ylabel('flexural Strength ( \Fxc- MPa)') title('volume fraction of zirconia vs. Flexural Strength') % Young's Modulus of Nanocomposite ee=(en-er)./(en+psi*er); E=(1.+psi.*eE.*vn).*Er./(1.-eE.*vn); figure(5) plot(vn,e) ylabel('modulus of Elasticity (E- MPa)') title('volume fraction of zirconia vs. Modulus of Elasticity') % Shear Modulus of Nanocomposite eg=(gn-gr)./(gn+psi*gr); Gc = (1.+psi.*eG.*vn).*Gr./(1.-eG.*vn); figure(6) plot(vn,gc) ylabel('shear Modulus of Nanocomposite (MPa)(Gc) ') title('volume fraction of zirconia vs. Shear Modulus') % Thermal Conductivity of Nanocomposite el=(lambdan-lambdar)./(lambdan+psi*lambdar); lambdac = (1.+psi.*el.*vn).*lambdar./(1.-el.*vn); figure(7) 187
5 plot(vn,lambdac) ylabel('thermal Conductivity of Nanocomposite W/mK (\lambda_c) ') title('volume fraction of zirconia vs. Thermal Conductivity') % Fracture Toughness of Nanocomposite eft=(ftn-ftr)./(ftn+psi*ftr); Ftc = (1.+psi.*eFt.*vn).*Ftr./(1.-eFt.*vn); figure(8) plot(vn,ftc) ylabel(fracture toughness of Nanocomposite ( \nu_c) ') title('volume fraction of zirconia vs. Fracture toughness') % Poisson's ratio of Nanocomposite eu=(nun-nur)./(nun+psi*nur); nuc = (1.+psi.*eu.*vn).*nur./(1.-eu.*vn); figure(9) plot(vn,nuc) ylabel('poissons ratio of Nanocomposite ( \nu_c) ') title('volume fraction of zirconia vs. Poissons Ratio') 188
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