Elastic-Plastic Contact Analysis of Single Layer Solid Rough Surface Model using FEM
Evaluation of contact pressure, surface and
subsurface contact stresses are essential to know the functional
response of surface coatings and the contact behavior mainly depends
on surface roughness, material property, thickness of layer and the
manner of loading. Contact parameter evaluation of real rough
surface contacts mostly relies on statistical single asperity contact
approaches. In this work, a three dimensional layered solid rough
surface in contact with a rigid flat is modeled and analyzed using
finite element method. The rough surface of layered solid is
generated by FFT approach. The generated rough surface is exported
to a finite element method based ANSYS package through which the
bottom up solid modeling is employed to create a deformable solid
model with a layered solid rough surface on top. The discretization
and contact analysis are carried by using the same ANSYS package.
The elastic, elastoplastic and plastic deformations are continuous in
the present finite element method unlike many other contact models.
The Young-s modulus to yield strength ratio of layer is varied in the
present work to observe the contact parameters effect while keeping
the surface roughness and substrate material properties as constant.
The contacting asperities attain elastic, elastoplastic and plastic states
with their continuity and asperity interaction phenomena is inherently
included. The resultant contact parameters show that neighboring
asperity interaction and the Young-s modulus to yield strength ratio
of layer influence the bulk deformation consequently affect the
interface strength.
[1] T. Merriman, and J. Kannel, "Analyses of the role of surface roughness
on contact stresses between elastic cylinders with and without soft
surface coating," ASME J.Tribol., vol. 111, pp. 87-94, 1989.
[2] T. Nogi, and T. Kato, "Influence of a hard surface layer on the limit of
elastic contact .Part I. Analysis using a real surface model," ASME J.
Tribol., vol. 119, pp. 493-500, 1997.
[3] M. R. Hestenes, and E. Stiefel, "Methods of conjugate gradients for
solving linear systems," J. Res. Nat. Bur. Stand., vol. 49, pp. 409-436,
1952.
[4] R. Winther, "Some superlinear convergence results for the conjugate
gradient method," Soc. Ind. Appl. Math. J. Numer., vol. 17, pp. 14-17,
1980.
[5] X. Tian, and B. Bhushan, "A numerical three-dimensional model for the
contact of rough surfaces by variational principle," ASME J. Tribol.,
vol. 118, pp. 33-41, 1996.
[6] W. Peng, and B. Bhushan, "A numerical three dimensional model for the
contact of layered elastic/plastic solids with rough surfaces by a
variational principle," ASME J. Tribol., vol. 123, pp. 330-342, 2001.
[7] K. Komvopoulos, and N. Ye, "Three dimensional contact analysis of
elastic-plastic layered media with fractal surface topographies," ASME
J. Tribol., vol. 123, pp. 632-640, 2001.
[8] Z.Q. Gong, and K. Komvopoulos, "Effect of surface patterning on
contact deformation of elastic-plastic layered media," ASME J. Tribol.,
vol. 125, pp. 16-24, 2003.
[9] Y. Z.Hu, and K. Tonder, "Simulation of 3D random rough surface by 2D
digital filter and Fourier analysis," Int. J. Mach. Tools Manufact., vol.
32, pp. 83-90, 1992.
[10] T. W. Kim, B. Bhushan and Y.J. Cho, "The contact behavior of
elastic/plastic non Gaussian rough surfaces," Tribology Letters, vol. 22,
pp. 1-13, 2006.
[11] S. Cai, and B. Bhushan, "A numerical three dimensional contact model
for rough, multilayered elastic/plastic solid surfaces," Wear vol. 259, pp.
1408-1423, 2005.
[12] L. Kogut and I. Etsion, "Elastic plastic contact analysis of sphere and a
rigid flat," J. Appl. Mech. Trans., ASME, vol. 69, pp. 657-662, 2002.
[13] D. Tabor, "The hardness of materials," Oxford:Clarendon press,1951.
[1] T. Merriman, and J. Kannel, "Analyses of the role of surface roughness
on contact stresses between elastic cylinders with and without soft
surface coating," ASME J.Tribol., vol. 111, pp. 87-94, 1989.
[2] T. Nogi, and T. Kato, "Influence of a hard surface layer on the limit of
elastic contact .Part I. Analysis using a real surface model," ASME J.
Tribol., vol. 119, pp. 493-500, 1997.
[3] M. R. Hestenes, and E. Stiefel, "Methods of conjugate gradients for
solving linear systems," J. Res. Nat. Bur. Stand., vol. 49, pp. 409-436,
1952.
[4] R. Winther, "Some superlinear convergence results for the conjugate
gradient method," Soc. Ind. Appl. Math. J. Numer., vol. 17, pp. 14-17,
1980.
[5] X. Tian, and B. Bhushan, "A numerical three-dimensional model for the
contact of rough surfaces by variational principle," ASME J. Tribol.,
vol. 118, pp. 33-41, 1996.
[6] W. Peng, and B. Bhushan, "A numerical three dimensional model for the
contact of layered elastic/plastic solids with rough surfaces by a
variational principle," ASME J. Tribol., vol. 123, pp. 330-342, 2001.
[7] K. Komvopoulos, and N. Ye, "Three dimensional contact analysis of
elastic-plastic layered media with fractal surface topographies," ASME
J. Tribol., vol. 123, pp. 632-640, 2001.
[8] Z.Q. Gong, and K. Komvopoulos, "Effect of surface patterning on
contact deformation of elastic-plastic layered media," ASME J. Tribol.,
vol. 125, pp. 16-24, 2003.
[9] Y. Z.Hu, and K. Tonder, "Simulation of 3D random rough surface by 2D
digital filter and Fourier analysis," Int. J. Mach. Tools Manufact., vol.
32, pp. 83-90, 1992.
[10] T. W. Kim, B. Bhushan and Y.J. Cho, "The contact behavior of
elastic/plastic non Gaussian rough surfaces," Tribology Letters, vol. 22,
pp. 1-13, 2006.
[11] S. Cai, and B. Bhushan, "A numerical three dimensional contact model
for rough, multilayered elastic/plastic solid surfaces," Wear vol. 259, pp.
1408-1423, 2005.
[12] L. Kogut and I. Etsion, "Elastic plastic contact analysis of sphere and a
rigid flat," J. Appl. Mech. Trans., ASME, vol. 69, pp. 657-662, 2002.
[13] D. Tabor, "The hardness of materials," Oxford:Clarendon press,1951.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:50769", author = "A. Megalingam and M.M.Mayuram", title = "Elastic-Plastic Contact Analysis of Single Layer Solid Rough Surface Model using FEM", abstract = "Evaluation of contact pressure, surface and
subsurface contact stresses are essential to know the functional
response of surface coatings and the contact behavior mainly depends
on surface roughness, material property, thickness of layer and the
manner of loading. Contact parameter evaluation of real rough
surface contacts mostly relies on statistical single asperity contact
approaches. In this work, a three dimensional layered solid rough
surface in contact with a rigid flat is modeled and analyzed using
finite element method. The rough surface of layered solid is
generated by FFT approach. The generated rough surface is exported
to a finite element method based ANSYS package through which the
bottom up solid modeling is employed to create a deformable solid
model with a layered solid rough surface on top. The discretization
and contact analysis are carried by using the same ANSYS package.
The elastic, elastoplastic and plastic deformations are continuous in
the present finite element method unlike many other contact models.
The Young-s modulus to yield strength ratio of layer is varied in the
present work to observe the contact parameters effect while keeping
the surface roughness and substrate material properties as constant.
The contacting asperities attain elastic, elastoplastic and plastic states
with their continuity and asperity interaction phenomena is inherently
included. The resultant contact parameters show that neighboring
asperity interaction and the Young-s modulus to yield strength ratio
of layer influence the bulk deformation consequently affect the
interface strength.", keywords = "Asperity interaction, finite element method, rough
surface contact, single layered solid", volume = "6", number = "1", pages = "15-5", }