... of the solids in contact. The probabilistic formulation of contact force leads to integral equations. From these are derived approximate closed-form expressions that relate the microscale properties of the surfaces to the macroscale behavior in the form of the total normal contact force between the surfaces...

...N. Sundaram; T. N. Farris The contact problem for an elastic body indenting a similar half-space resulting in multiple contacts is important for various applications. In this paper an exact fast numerical method based on singular integral equations is developed to solve the normal contact...

... by a rough surface contact. This model is based on the Boussinesq–Cerruti integral equations, which relate surface tractions to displacements. The materials are assumed to respond elastic perfectly plastically for simplicity, and the localized hardness and shear strength are set as the upper limits...

... contact integral equations 24 02 2004 21 03 2006 The distributions of dimensionless HMH stress in a radial plane are traced as 3D plots in Figs. 3a 3b , for c ¯ = 0 and c ¯ = 0.2 , respectively. Maximum HMH stress occurs on central axis, in depth, and its...

... of the critical locations for fretting damage. The nominally flat geometry of contacting surfaces in the dovetail causes high contact stress levels near the edges of contact. A numerical approach based on the solution to singular integral equations that characterize the two-dimensional plane strain elastic...

... Division March 9, 2000 revised manuscript received July 25, 2002. Associate Editor: M. D. Bryant. 09 March 2000 25 July 2002 19 03 2003 indentation mechanical contact anisotropic media stress analysis elasticity numerical analysis integral equations Orthotropic...

... asperities. The dependence of the true contact area on loading is analyzed by using the plane strain theory of elasticity. Fourier series and integral transform techniques are applied to reduce the problem to an integral equation which is solved using a series of Jacobi polynomials. For steady-state dynamic...