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Two kinds of contact problems in decagonal quasicrystalline materials of point group 10mm[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 169-174. DOI: 10.6052/0459-1879-2005-2-2004-184
Citation: Two kinds of contact problems in decagonal quasicrystalline materials of point group 10mm[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 169-174. DOI: 10.6052/0459-1879-2005-2-2004-184
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Two kinds of contact problems in decagonal quasicrystalline materials of point group 10mm

  • 上海大学上海市应用数学和力学研究所

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  • By means of the complex variable method, thisinvestigation addresses two kinds of contact problems in decagonalquasicrystalline materials. One kind of contact problem is the frictionalcontact problem, the other one is the adhesive contact problem.Particularly, the explicit expressions of the analytic functionscharacterizing the phonon and phason fields as well as the contact stressdistribution on the indenter are obtained for a flat indenter on a decagonalquasicrystalline half-space. The results show that 1) the contact stressesexhibit the real power type singularities −1/2±β in the edge of the contact zone for the frictional contact problem with β determined bythe material constants of the quasicrystal and the static frictional factor;and 2) the contact stresses exhibit the oscillatory singularities −1/2±i\v in the edge of the contact zone for the adhesivecontact problem with ε determined by the material constants ofthe quasicrystal.
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