Boundary element method for normal non-adhesive and adhesive contacts of power-law graded elastic materials
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Recently proposed formulation of the boundary element method for adhesive contacts has been generalized for contacts of power-law graded materials with and without adhesion. Proceeding from the fundamental solution for single force acting on the surface of an elastic half space, first the influence matrix is obtained for a rectangular grid. The inverse problem for the calculation of required stress in the contact area from a known surface displacement is solved using the conjugate-gradient technique. For the transformation between the stresses and displacements, the Fast Fourier Transformation is used. For the adhesive contact of graded material, the detachment criterion based on the energy balance is proposed. The method is validated by comparison with known exact analytical solutions as well as by proving the independence of the mesh size and the grid orientation.
KeywordsBoundary element method Functionally graded materials Adhesive contact
- 1.Bhushan B, Gupta BK (1991) Handbook of tribology: materials, coatings, and surface treatments. McGraw-Hill, New YorkGoogle Scholar
- 9.Taylor DW (1948) Fundamentals of soil mechanics. Wiley, New YorkGoogle Scholar
- 29.Pohrt R, Popov VL (2015) Adhesive contact simulation of elastic solids using local mesh-dependent detachment criterion in boundary elements method. Facta Univ Ser Mech Eng 13:3–10Google Scholar