Interfacial stress analysis for multi-coating systems using an advanced boundary element method

Abstract This paper focuses on the interfacial stress analysis for multi-coating systems using an advanced boundary element method (BEM) developed earlier in [Luo JF, Liu YJ, Berger EJ (1998) Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Comput. Mech. 22(5):404–412]. The advanced BEM with thin-body capabilities for two-dimensional linear elasticity is extended to general multi-domain problems and validated by the analytical solution of a special multi-coating problem. Detailed interfacial stress analysis for a two-layer coating system under uniform load distribution is investigated, through which the influence of coating thickness and material of the multi-coating system can be studied. The developed multi-coating analysis capability using the BEM provides not only a robust numerical tool for interfacial stress analysis of multi-coating systems with arbitrary coating thickness and number of coatings, but also the basis for future work concerning interface cracks, thermal effects and contact mechanics.

[1]  Kyriakos Komvopoulos,et al.  Elastic-plastic finite element analysis of indented layered media , 1989 .

[2]  Yijun Liu,et al.  Modeling of Interphases in Fiber-Reinforced Composites Under Transverse Loading Using the Boundary Element Method , 2000 .

[3]  P. Gupta,et al.  Contact Stresses Between an Elastic Cylinder and a Layered Elastic Solid , 1974 .

[4]  C. Subramanian,et al.  Review of multicomponent and multilayer coatings for tribological applications , 1993 .

[5]  BOUNDARY INTEGRAL EQUATIONS FOR THIN BODIES , 1994 .

[6]  R. King,et al.  Sliding contact stresses in a two-dimensional layered elastic half-space , 1987 .

[7]  Konstantinos-Dionysios Bouzakis,et al.  Determination of the fatigue properties of multilayer PVD coatings on various substrates, based on the impact test and its FEM simulation , 1997 .

[8]  T. Cruse.  Boundary Element Analysis in Computational Fracture Mechanics , 1988 .

[9]  Subrata Mukherjee,et al.  Boundary element methods in creep and fracture , 1982 .

[10]  Yijun Liu,et al.  Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method , 1998 .

[11]  K.-D Bouzakis,et al.  Prediction of the fatigue behaviour of physically vapour deposited coatings in the ball-on-rod rolling contact fatigue test, using an elastic–plastic finite elements method simulation , 1997 .

[12]  J. Barbera,et al.  Contact mechanics , 1999 .

[13]  Yijun Liu.  ANALYSIS OF SHELL-LIKE STRUCTURES BY THE BOUNDARY ELEMENT METHOD BASED ON 3-D ELASTICITY: FORMULATION AND VERIFICATION , 1998 .

[14]  F. J. Rizzo,et al.  Nearly Singular and Hypersingular Integrals in the Boundary Element Method , 1970 .

[15]  Tom Bell,et al.  A Numerical Model for the Dry Sliding Contact of Layered Elastic Bodies with Rough Surfaces , 1996 .

[16]  Leon M Keer,et al.  Contact Stress Analysis of a Layered Transversely Isotropic Half-Space , 1992 .

[17]  Z. Suo,et al.  Interface crack between two elastic layers , 1990 .

[18]  A. Boresi,et al.  Elasticity in engineering mechanics , 1974 .

[19]  P. K. Banerjee.  The Boundary Element Methods in Engineering , 1994 .

[20]  W. T. Chen.  Computation of stresses and displacements in a layered elastic medium , 1971 .

[21]  M. J. Hartnett,et al.  A Numerical Solution for Layered Solid Contact Problems With Application to Bearings , 1983 .

[22]  R. Arnell,et al.  Finite element analysis of the contract stresses in an elastic coating on an elastic substrate , 1992 .