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Purpose: In this paper the influence of the shape of transition functions between the single layers of multilayer coating on the final internal stresses states in the coating was investigated. Additionally the degree of nonlinearity and asymmetry of postulated gradient layers was calculated. Design/methodology/approach: Physical and mathematical models of the layers were created basing on classical theory of elasto-plastic materials. Computer model of the object (coating + substrate) describing internal strains and stresses states in layers, after deposition process, was created using FEM method. Findings: New concepts of nonlinearity and asymmetry measurability of transition function were introduced. Using predefined measures the dependence between internal stresses fields in postulated class of gradient layers and values of nonlinearity and asymmetry were obtained. Research limitations/implications: There are an infinite number of possible measures of heterogeneity and nonlinearity of the transition layers. Also there are infinitely many functions with the same measures of asymmetry and nonlinearity, but different mathematical forms, thus a functions of the same measures value form a kind of class of abstraction. So it is convenient to consider specific representatives of the given class and expand the obtained results to remaining representatives which is laborious and ambiguous task. Practical implications: Proposed measures of gradient layers will become a significant components of the PC software in future, which will upgrade the designing process of hard, wear resistant coatings architecture. Originality/value: A class of monotonic and asymmetric transition functions, describing continuous physico-chemical material’s parameters changes in each layer of K-layered coating was created. Also a new measures of nonlinearity and asymmetry of transition function were introduced.
Wydawca
Rocznik
Tom
Strony
83--92
Opis fizyczny
Bibliogr. 27 poz., rys., tab.
Twórcy
autor
- Institute of Mechatronics, Nanotechnology and Vacuum Technique, Koszalin University of Technology, ul Śniadeckich 2, 75-453 Koszalin, Poland
autor
- Institute of Mechatronics, Nanotechnology and Vacuum Technique, Koszalin University of Technology, ul Śniadeckich 2, 75-453 Koszalin, Poland
Bibliografia
- [1] J. Haider, M. Rahman, B. Corcoran, M.S.J. Hashmi, Simulation of thermal stress in magnetron sputtered thin coating by finite element analysis, Journal of Materials Processing Technology 168 (2005) 36-41.
- [2] A. Śliwa, L.A. Dobrzański, W. Kwaśny, W. Sitek, Finite Element Method application for modeling of PVD coatings properties, Journal of Achievements in Materials and Manufacturing Engineering 27/2 (2008) 171-174.
- [3]Ł. Szparaga, J. Ratajski, R. Olik, Mathematical modelling and computer simulation of the stresses and strains fields in surface layer of the knife covered with multilayer coating of planning machine to wood treatment, Materials Engineering 176 (2010) 1249-1254 (in Polish).
- [4] A. Śliwa, L.A. Dobrzański, W. Kwaśny, M. Staszuk, Simulation of the microhardness and internal stresses measurement of PVD coatings by use of FEM, Journal of Achievements in Materials and Manufacturing Engineering 43/2 (2010) 684-691.
- [5] L.A. Dobrzański, A. Śliwa, W. Kwaśny, Employment of the finite element method for determining stresses in coatings obtained on high-speed steel with the PVD process, Journal of Materials Processing Technology 164-165 (2005) 1192-1196.
- [6] A. Śliwa, J. Mikuła, L.A. Dobrzański, FEM application for modelling of PVD coatings properties, Journal of Achievements in Materials and Manufacturing Engineering 41/1-2 (2010) 164-171.
- [7]W. Kwaśny, L.A. Dobrzański, M. Król, J. Mikuła, Fractal and multifractal characteristics of PVD coatings, Journal of Achievements in Materials and Manufacturing Engineering 24/2 (2007) 159-162.
- [8]L.A. Dobrzański, A. Śliwa, W. Kwaśny, The computer simulation of stresses in the Ti+Ti(CxN1-x) coatings obtained in the PVD process, Journal of Achievements in Materials and Manufacturing Engineering 24/2 (2007) 155-158.
- [9]H. Oettel, R. Wiedemann, Residual stresses in PVD hard coatings, Surface and Coatings Technology 76-77 (1995) 265-273.
- [10]M.D. Tran, J. Poublan, J.H. Dautzenberg, A practical method for the determination of the Young’s modulus and residual stresses of PVD thin films, Thin Solid Films 308-309 (1997) 310–314.
- [11] U. Wiklund, J. Gunnars, S. Hogmark, Influence of residual stresses on fracture and delamination of thin hard coatings, Wear 232 (1999) 262-269.
- [12]Y. Pauleau, Generation and evolution of residual stresses in physical vapour-deposited thin films, Vacuum 61 (2001) 175-181.
- [13]N.J.M Carvalho, E. Zoestbergen, B.J. Kooi, J.Th.M De Hosson, Stress analysis and microstructure of PVD monolayer TiN and multilayer TiN/(Ti,Al)N coatings, Thin Solid Films 429 (2003) 179-189.
- [14]K. Holmberg, H. Ronkainen, A. Laukkanen, K. Wallin, S. Hogmark, S. Jacobson, U. Wiklund,. R. M. Souza, P. Ståhle, Residual stresses in TiN, DLC and MoS2 coated surfaces with regard to their tribological fracture behaviour, Wear 267 (2009) 2142-2156.
- [15] A.C. Vlasveld, S.G. Harris, E.D. Doyle, D.B Lewis, W.D. Munz Characterization and performance of partially filtered arc TiAlN coatings, Surface and Coatings Technology 149 (2002) 217-224.
- [16] Xu Qianjun, Yu Shouwen, Kang Yilan, Residual stress analysis of functionally gradient materials, Mechanics Research Communications 26/1 (1999) 55-60.
- [17]Hong-Cai Zhang, Wei Tan, Yong-Dong Li, Effect of the transitional gradient of material property on the mechanical behavior of a non-homogeneous interlayer, Computational Materials Science 42 (2008) 122-129.
- [18] Yongdong Li , Hongcai Zhang, Wei Tan, Fracture analysis of functionally gradient weak/micro-discontinuous interface with finite element method, Computational Materials Science 38 (2006) 454-458.
- [19] Ł. Szparaga, J. Szparaga, J. Ratajski, Modelling of the stresses fields evolution in CrN/Cr multilayer coatings via FEM, Materials Engineering 4/182 (2011) 760-764.
- [20] M. Kashtalyan, M. Menshykova, Three-dimensional elastic deformation of a functionally graded coating/substrate system, International Journal of Solids and Structures 44 (2007) 5272-5288.
- [21] Liao-Liang Ke, Yue-Sheng Wang, Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties, International Journal of Solids and Structures 43 (2006) 5779-5798.
- [22] Ł. Szparaga, J. Ratajski, A. Zarychta, Multi objective optimization of wear resistant TiAlN and TiN coatings deposite by PVD techniques, Archives of Materials Science and Engineering 48/1 (2011) 33-39.
- [23] R.K. Lakkaraju, F. Bobaru, S.L. Rohde, Optimization of multilayer wear-resistant thin films using finite element analysis on stiff and compliant substrates, Journal of Vacuum Science and Technology A, Vacuum, Surfaces and Films 24 (2006) 146-155.
- [24] R. Valle, D. Leveque, M. Parlier, Optimizing substrate and intermediate layers geometry to reduce internal thermal stresses and prevent surface crack formation in 2-D multilayered ceramic coatings, Journal of the European Ceramic Society 28 (2008) 711-716.
- [25]R. Bąk, T. Burczyński, Strength of materials with elements of computer applications, Technical Scientific Publisher, Warsaw, 2001 (in Polish).
- [26] W. Nowacki, Theory of stiffness, Scientific State Publisher, Warsaw, 1970 (in Polish).
- [27] A. Sawicki, Continuum mechanics, Research and Development Institute Polish Academy of Science, Gdańsk, 1994 (in Polish).
Typ dokumentu
Bibliografia
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