$$$ Current Year: 2010 Month: 2 Day: 21 $$$ **************************************************************************** MIXED ELASTOHYDRODYNAMIC LUBRICATION: A POINT CONTACT CASE INPUT DATA ----------- CASE DESCRIPTION: U=0.0000005 m/s, Smooth Subsurface Stress GEOMETRIC PARAMETERS Radius of curvature of Body A in X direction: 25.400000 mm Radius of curvature of Body B in X direction:************ mm Radius of curvature of Body A in Y direction: 25.400000 mm Radius of curvature of Body B in Y direction:************ mm OPERATING CONDITIONS Applied normal load: 2500.0000 N Surface velocity of Body A: 0.00000044 m/s Surface velocity of Body B: 0.00000056 m/s Rolling Velocity: 0.00000050 m/s Slide-To-Roll Ratio: 0.25000000 Ambient temperature of Body A: 120.0000 deg.C Ambient temperature of Body B: 120.0000 deg.C MATERIAL PROPERTIES OF TWO BODIES Body A Body B Unit Young's modulus: 206.000000 206.000000 GPa Poisson's ratio: 0.300000 0.300000 Density: 7.865000 7.865000 g/cm**3 Conductivity: 46.000000 46.000000 W/(m.deg.C) Specific heat: 0.460000 0.460000 N.m/(g.deg.C) SMOOTH SURFACES ASSUMED. Sigma=0.0 LUBRICANT PROPERTIES Lubricant Name: Transmission Fluid Kinematic Viscosity: 50.5000 cSt at 37.778 deg.C 15.0000 cSt at 98.889 deg.C Dynamic Viscosity at Inlet: 0.01119000 Pa.s Pressure-Viscosity Coeff. AL: 14.940000 1/GPa Pressure-viscosity Coeff. AL2: 0.720000 1/GPa Exponent CAK for Power Law: 0.000000 Density at room temperature: 0.866000 g/cm**3 Thermal Conductivity: 0.145000 W/(m.deg.C) Boundary Friction Coefficient: 0.250000 KINEMATIC VISCOSITY EQUATION for Transmission Fluid lg ( lg ( v + 0.6)) = 0.00000 + ( 0.00000 * lg T ) where kinematic viscosity v is in cSt temperature T is in degree K DYNAMIC VISCOSITY EQUATION for Transmission Fluid ET = ETO * EXP [ AL * P + ( BET + GAM * P )( 1/T - 1/TO )] where ET is the dynamic viscosity at temperature T and pressure P ETO is the dynamic viscosity at temperature TO and atmospheric pressure ETO =0.0111900000 Pa.s AL is the pressure-viscosity exponent AL = 14.94000000 1/GPa BET is the temperature-viscosity exponent BET = 0.0000 deg.K GAM is the pressure-temperature-viscosity exponent GAM = 0.00000000 deg.K/GPa temperatures T and TO are in deg.K TO = 0.0000 deg.K pressure P is in GPa **************************************************************************** RESULTS OF CALCULATION ---------------------- Actual Hertzian Contact Parameters: Ph= 2.1257979 A= 0.74934 B= 0.74934 K= 1.00000 474 E0= 226.37363 RX= 25.4000 RY= 25.4000 PLMT= ********* GPa NTC= 200 KSURF= 0 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 0 PLMT= 100.0000 NSTART= 3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 Numerical Solution Control Parameters: Wedge Term Scheme_X: Blue-DXR Squeeze Term Scheme_T: Blue-DXR dT to dX Correlation Ratio: Independent dS/dX Differential Scheme: 2nd Central Roughness Interpolation Level: 2nd Order Correlation Between DXR and DX: Independent Correlation Between DYR and DY: Independent Recalculate DX1,DX2 Using D1,D2 for SIN: Yes Dimensionless Time Step Length: 0.0620851 Lowest Mesh Level and First Level Mesh Numbers M/N: 2 48 / 32 Delta_S1= 0.0543244 Delta_S2= 0.0698457 Delta_T= 0.0620851 X0 = 0.0000 Y0 = 0.0000 from Smooth.dat Dimensionless Parameters and Film Thickness Estimates by Conventional Theories for Point Contacts: Material Parameter GR = 3382.02223 Speed Parameter UR =0.973062E-18 Load Parameter WR =0.171178E-04 Viscosity Parameter Gv =0.179158E+26 Elasticity Parameter Ge =0.205546E+24 Load Parameter M =0.328525E+09 Materials Parameter L =0.126319E+00 Ellipticity Parameter K = 1.000000 Slide-To-Roll Ratio S = 0.250000 Hc from EHL Theory =0.251452E-09 0.0064 nm Hm from EHL Theory =0.120860E-09 0.0031 nm Hc from Isovisc-Rigid Theory =0.452754E-24 0.0000 nm Hc from Piezovisc-Rigid Theory =0.383326E-16 0.0000 nm Hc from Isovisc-Elastic Theory =0.684102E-10 0.0017 nm Hm from Isovisc-Elastic Theory =0.440963E-10 0.0011 nm Film Thickness Hc(Ge,Gv)=0.778158E+17 Film Thickness Hm(Ge,Gv)=0.374019E+17 Film Thickness Hc(M,L) =0.180248E+00 Film Thickness Hm(M,L) =0.866355E-01 Nominal Lambda Ratio =************ Inlet Distance X0 = 1.500000 Outlet Distance Xe = 1.500000 Lateral Distance Y0 = 1.500000 Minimum X0 Required for Flooded= 1.000154 Ratio of HcActual to HcFlood = 1.000000 Pressure-Viscosity Relation: Barus Law, AL= 14.9400007 Calculated Load/Input Load = 1.00030313 KLEV = 2 Calculated Load/Input Load = 1.00030313 KLEV = 2 FW =-.272662E-07 KLEV = 2 M = 96 N = 64 Dx = 0.0312500 Dy = 0.0468750 X0 =-1.5000000 Xe = 1.5000000 Y0 =-1.5000000 Timing Starts (sec)= 3.07321970000000 ************** Mesh Level Changed From 2 To 3 at NT= 41 ************** NT= 50 IT= 301 Er=0.000883854 0.00436125 Ha=0.00000000 0.000 nm CPU= 131.8 ************** Mesh Level Changed From 3 To 4 at NT= 70 ************** NT= 80 IT= 301 Er=0.001361891 0.00220569 Ha=0.00000000 0.000 nm CPU= 722.6 NT= 100 IT= 301 Er=0.000888570 0.00119662 Ha=0.00000000 0.000 nm CPU= 1499.4 NT= 120 IT= 301 Er=0.000613255 0.00065021 Ha=0.00000000 0.000 nm CPU= 2226.4 NT= 140 IT= 301 Er=0.000399110 0.00039501 Ha=0.00000000 0.000 nm CPU= 2943.6 NT= 160 IT= 301 Er=0.000247057 0.00023062 Ha=0.00000000 0.000 nm CPU= 3653.9 NT= 180 IT= 162 Er=0.000199960 0.00008945 Ha=0.00000000 0.000 nm CPU= 4245.8 NT= 200 IT= 41 Er=0.000199908 0.00002110 Ha=0.00000000 0.000 nm CPU= 4447.1 IT= 41 Err=.00002110 H0=-0.0295035 HR0=-0.0295035 HHR0=-0.0295035 Pa= 0.93426 NCONT = 8559 ER= 0.00019991 NT= 200 Max. von Mises Stress = 0.647087 at X= 0.273438 Y= 0.000000 Z= 0.445000 NT= 200 Current X0= -1.5000 HC= 0.000000000 0.000000E+00 0.000 nm Estimated X0= -1.000 Estimated HCs/HC= 1.00000 HMIN= 0.000 nm NTC= 200 KSURF= 0 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 0 PLMT= 100.0000 NSTART= 3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 KLEV = 4 M = 384 N = 256 Dx = 0.0078125 Dy = 0.0117188 X0 =-1.5000000 Xe = 1.5000000 Y0 =-1.5000000 SUMMARY OF RESULTS: Central Film Thickness(For smooth): 0.000000E+00 0.0000 nm Average Film Thickness at Center: 0.000000E+00 0.0000 nm Minimum Film THickness: 0.000000E+00 0.0000 nm Film Thickness (Lambda) Ratio: 0.00000 Contact Load Ratio Wc: 100.00000 % Contact Area Ratio Ac: 100.00000 % RMS Roughness after Deformation: 0.00000 micron Pressure Peak Height: 1.02442 2177.714500 MPa Inlext Distance X0: 1.500000 Coefficient of Friction: 0.00000000 Max.Flash Temperature Rise - Body A: 0.0000 Deg.C Max.Flash Temperature Rise - Body B: 0.0000 Deg.C Accumulated Wear - Body A: 0.000000E+00 mm**3 Accumulated Wear - Body B: 0.000000E+00 mm**3 Timing Starts at (sec)= 3.0732 Timing stops at (sec) = 4907.1987 Total CPU Time (sec) = 4904.1254