000021233 001__ 21233
000021233 005__ 20170522124344.0
000021233 04107 $$aeng
000021233 046__ $$k2017-05-15
000021233 100__ $$aAizikovich, S.
000021233 24500 $$aMATHEMATICAL MODELING OF MICRO INDENTATION OF A TRANSVERSELY ISOTROPIC HALF-SPACE WITH FUNCTIONALLY GRADED COATING BY A CONICAL INDENTER

000021233 24630 $$n23.$$pEngineering Mechanics 2017
000021233 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021233 506__ $$arestricted
000021233 520__ $$2eng$$aThe paper considers rigid punch with conical tip which is indented into a surface of an elastic transversely-isotropic half-space with a functionally-graded transversely-isotropic coating. Elastic moduli of the coating vary independently with depth according to arbitrary positive continuously differentiable functions. Integral transformation technique is used to construct a dual integral equation of the problem. Cases of free and fixed boundaries of the contact area are considered. Fixed boundaries of the contact correspond to the case when the cylindrical punch with conical tip is indented on a depth greater than height of the punch tip. Bilateral asymptotic method is used to construct the approximated analytical expressions for the contact stresses, indentation force and radius of the contact area (in case of free boundaries). Some aspects of modeling of micro- and nano- indentation experiments are discussed. Numerical examples are provided for a case of a hard homogeneous or functionally graded transversely isotropic coating.

000021233 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021233 653__ $$aIndentation, Conical indenter, Functionally graded coating, Transversely isotropic material, Contact problem, Analytical solution.

000021233 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021233 720__ $$aAizikovich, S.$$iMitrin, B.$$iVolkov, S.$$iVasiliev, A.
000021233 8560_ $$ffischerc@itam.cas.cz
000021233 8564_ $$s865920$$uhttps://invenio.itam.cas.cz/record/21233/files/0074.pdf$$yOriginal version of the author's contribution in proceedings, page 74, section SOL.
000021233 962__ $$r21225
000021233 980__ $$aPAPER