Modelling damage to real surfaces in contact within a unified framework

Abstract Real surfaces in contact are subjected to damage such as wear and plastic deformation, which not only affects surface performances but may also lead to material failure. A proper prediction of surface damage is of critical importance in the design of advanced functional materials. However, the prediction is tremendously complicated both experimentally and theoretically by the presence of surface and subsurface imperfections formed during material manufacturing process. Recently, using Eshelby's equivalent inclusion method, we developed a general solution for multiple 3D arbitrarily-shaped inhomogeneous inclusions (which are imperfections characteristic of material dissimilarity and inelastic strain) near surfaces under contact loading. This solution takes into account interactions between all the inhomogeneous inclusions and between them and the loading body as well as considering surface roughness. It provides a detailed knowledge of surface deformation and pressure and subsurface elastic field. Furthermore, a layer of film was modeled as an inhomogeneous inclusion, leading to the successful modeling of elastic-plastic indentation on coated surfaces with imperfections. The inhomogeneous inclusion provides a unified framework to model various surface damage patterns (including chipping wear, gradual wear, and particle pull-out), competition between them, and surface evolution due to them.

[1]  J. Luo,et al.  Stress investigation on a Griffith crack initiated from an eccentric disclination in a cylinder , 2008 .

[2]  M. S. Wu,et al.  Exact Solutions for Periodic Interfacial Wedge Disclination Dipoles in a Hexagonal Bicrystal , 2006 .

[3]  Q. Fang,et al.  A wedge disclination dipole interacting with a circular inclusion , 2006 .

[4]  Toshio Mura,et al.  Micromechanics of defects in solids , 1982 .

[5]  Zhongmin Xiao,et al.  Stress analysis on a Zener crack nucleation from an eccentric wedge disclination in a cylinder , 2009 .

[6]  Toshio Mura,et al.  Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method , 1975 .

[7]  Feng Liu,et al.  Stress analysis of a wedge disclination dipole interacting with a circular nanoinhomogeneity , 2011 .

[8]  A. A. Nazarov,et al.  Relaxation of a disclinated tricrystalline nanowire , 2008 .

[9]  Joseph M. Block,et al.  A Multilevel Model for Elastic-Plastic Contact Between a Sphere and a Flat Rough Surface , 2009 .

[10]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  Y. P. Chiu,et al.  On the Stress Field and Surface Deformation in a Half Space With a Cuboidal Zone in Which Initial Strains Are Uniform , 1978 .

[12]  Wei Chen,et al.  Multiple 3D inhomogeneous inclusions in a half space under contact loading , 2011 .

[13]  Liu Youwen,et al.  The solution of a wedge disclination dipole interacting with an annular inclusion and the force acting on the disclination dipole , 2008 .

[14]  Leon M Keer,et al.  A fast method for solving three-dimensional arbitrarily shaped inclusions in a half space , 2009 .

[15]  L. Keer,et al.  A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques , 1999 .

[16]  Leon M Keer,et al.  Semi‐analytic solution for multiple interacting three‐dimensional inhomogeneous inclusions of arbitrary shape in an infinite space , 2011 .

[17]  Wei Chen,et al.  Modeling elasto-plastic indentation on layered materials using the equivalent inclusion method , 2010 .

[18]  Jianqiao Chen,et al.  On the nucleation of a Zener crack from a wedge disclination dipole in the presence of a circular inhomogeneity , 2009 .