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Multidimensional Contact Moduli of Elastically Anisotropic Solids...

by Yanfei Gao, George M Pharr
Publication Type
Journal
Journal Name
Scripta Materialia
Publication Date
Page Numbers
13 to 16
Volume
57
Issue
1

Effective moduli of elastically anisotropic solids under normal and tangential contacts are derived using the Stroh formalism and the two dimensional Fourier transform. Each Fourier component corresponds to a plane field in the plane spanned by the surface normal and a wavevector, the solution of which only involves an algebraic eigenvalue problem. Exact solutions are obtained for indenters described by parabolae of revolution, which are found to be a good approximation for arbitrary axisymmetric indenters.