Multidimensional contact moduli of elastically anisotropic solids

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 wh...

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Bibliographic Details
Published in:Scripta materialia 2007-07, Vol.57 (1), p.13-16
Main Authors: Gao, Y.F., Pharr, G.M.
Format: Article
Language:English
Subjects:
97
Anisotropic elasticity
ANISOTROPY
Approximation
Contact
EIGENVALUES
ELASTICITY
EXACT SOLUTIONS
Formalism
Fourier transforms
Indenters
MATERIALS SCIENCE
Mathematical analysis
Nanoindentation
Normal and tangential contact moduli
Planes
SOLIDS
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Summary: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.
ISSN:1359-6462
1872-8456
DOI:10.1016/j.scriptamat.2007.03.020