+7 (3412) 91 60 92

## Archive of Issues

Ukraine Kharkiv
Year
2015
Volume
25
Issue
2
Pages
267-279
 Section Mechanics Title Stress analysis in an infinite hydroxyapatite / titanium plate with a pressurized circular hole Author(-s) Darya zadeh S.a, Lvov G.I.a Affiliations Kharkiv Polytechnic Institutea Abstract The aim of the present study is to compute the macro- and microstress concentration in a reinforced biomaterial composite plate with a circular hole with respect to the volume ratio of the component materials in the composite. The contour of the circular hole and its dependency on the structure of a plate were calculated in order to study the behaviors of macro- and microstresses. In this paper, the stress around a circular hole was calculated for an orthotropic unidirectionally fiber-reinforced plate with respect to the volume ratio of the component materials in the composite. Stress distribution using a theoretical method and the finite elements method was calculated. The boundary conditions applied on the contour of a circular hole are uniform normal pressure. In this present study, we use a new numerical method of determining microstresses for composite plates with a circular hole, on the boundary of which there is a uniform normal pressure. The results demonstrate the macro- and microstresses calculated for two different structures and the behavior of an orthotropic plate with a circular hole. The ANSYS package and the finite-element representative plate model were used in this study. Keywords composite, unidirectional fibers, numerical method, boundary conditions, stress concentration UDC 539.32 MSC 73C DOI 10.20537/vm150211 Received 12 February 2015 Language English Citation Darya zadeh S., Lvov G.I. Stress analysis in an infinite hydroxyapatite / titanium plate with a pressurized circular hole, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 2, pp. 267-279. References Attaf B. Advances in composite materials for medicine and nanotechnology, India: InTech, 2011. Arifin A., Sulong A., Muhamad N., Syarif J., Ramli M.I. Material processing of hydroxyapatite and titanium alloy (HA/Ti) composite as implant materials using powder metallurgy: A review, Materials & Design, 2014, vol. 55, pp. 165-175. Kuroda K., Okido M. Hydroxyapatite coating of titanium implants using hydroprocessing and evaluation of their osteoconductivity, Bioinorganic Chemistry and Applications, 2012, Article ID 730693, 7 p. http://dx.doi.org/10.1155/2012/730693 Takashima H., Shibata Y., Kim T.Y., Miyazaki T. Hydroxyapatite coating on a titanium metal substrate by a discharging method in modified artificial body fluid, Int. J. Oral Maxillofac Implants, 2004, vol. 19, no. 1, pp. 66-72. Itoh S., Kikuchi M., Koyama Y., Takakuda K., Shinomiya K., Tanaka J. Development of an artificial vertebral body using a novel biomaterial, hydroxyapatite/collagen composite, Biomaterials, 2002, vol. 23, no. 19, pp. 19-26. Shibata Y., Takashima H., Yamamoto H. Functionally gradient bonelike hydroxyapatite coating on a titanium metal substrate created by a discharging method in HBSS without organic molecules, Int. J. Oral Maxillofac Implants, 2004, vol. 19, no. 2, pp. 77-83. Tan X.W., Beuerman R.W., Shi Z.L., Neoh K.G., Tan D., Khor K.A., Mehta J.S. In vivo evaluation of titanium oxide and hydroxyapatite as an artificial cornea skirt, Materials in Medicine, 2012, vol. 23, no. 4, pp. 1063-1072. Ishiwata K., Tawara K., Matsushita J. Characterization of hydroxyapatite containing of titanium hydride sintered body by nano size powder, Materials Science Forum, 2013, vol. 761, pp. 135-139. Robert M.J. Mechanics of composite materials, USA: Taylor & Francis, 1999. Berbinau P., Soutis C. A new approach for solving mixed boundary value problems along holes in orthotropic plates, International Journal of Solid and Arrangements, 2001, vol. 38, no. 1, pp. 143-159. Muskhelishvilii N. Some basic problems of the mathematical theory of elasticity, Leiden: Noordhoff, 1963. Lekhnitskii S. Anisotropic plates, London: Gordon Breach, 1968. Savin G. Stress concentration around holes, New York: Pergamon Press, 1961. Vanin G.A Mikromekhanika kompozitsionnykh materialov (Micromechanics of composite materials) Kiev: Naukova Dumka, 1985 (in Russian). Basov K.A. ANSYS spravochnik pol'zovatelya (ANSYS Manual), Moscow: DMK, 2005 (in Russian). Jahed H., Noban M.R., Eshraghi M.A. ANSYS Finite Element, Iran: University Tehran, 2010 (in Persian). Barbero E.J. Finite element analysis of composite materials, USA: CRC Press Tailor & Group, 2008. Matthews F.L., Davies D., Hitchings G.A.O., Soutis C. Finite element modeling of composite materials and structure, USA: CRC Press Tailor & Group, 2008. Pal B., Haseebuddin M.R. Analytical estimation of elastic properties of polypropylene fiber matrix composite by finite element, Advances in Materials Physics and Chemistry, 2012, vol. 2, no. 1, pp. 23-30. Schmauder S., Mishnaevsky L. Micromechanics and nanosimulation of metals and composites, Springer, 2008. Altenbach H., Fedorov V.A. Structural elastic and creep models of a UD composite in longitudinal shear, Mechanics of Composite Materials, 2007, vol. 43, no. 4, pp. 289-298. Odegarda G.M., Pipesb R.B., Hubertc P. Comparison of two models of SWCN polymer composites, Composites Science and Technology, 2004, vol. 64, no. 7-8, pp. 1011-1020. Whitney J.M., McCullough R.L. Micromechanical materials modeling. Delaware composites design encyclopedia, Basel: Technomic, Lancaster, 1990. Fedorov V.A. Symmetry in a problem of transverse shear of unidirectional composites, Composites, Part B, 2014, vol. 56, pp. 263-269. Nguyen D.D., Minh K. Bending analysis of three-phase polymer composite plates reinforced by glass fibers and titanium oxide particles, Computational Materials, 2010, vol. 49, no. 4, pp. 194-198. Andrianov I.V., Danishevs'kyy V.V., Guillet A., Pareige P. Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear, European Journal of Mechanics - A/Solids, 2005, vol. 24, no. 2, pp. 195-206. Lipatov Yu.S., Omanskii E.S. Kompozitnye materialy. Spravochnik (Composite materials. Handbook), Kiev: Naukova Dumka, 1985 (in Russian). Full text