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        Research Articles
         
        ScienceAsia 32 (2006): 411-416 |doi: 10.2306/scienceasia1513-1874.2006.32.411 
        Finite Element Analysis of the Critical Ratio of Coating
          Thickness to Indentation Depth of Soft Coating on
          a Harder Substrate by Nanoindentation
         
          Nurot Panich1*, Panyawat Wangyao1, Thoedsak Chomtohsuwan2 and Sun Yong3
            
              ABSTRACT: This study presents the critical ratio of coating thickness to indentation depth (CRTD) of a soft
              coating on a harder substrate by nanoindentation. The indentation processes were simulated with the finite
              element (FE) software programme. In the FE model, the influence of the yield strength ratio (Yc/Ys) and the
              indenter tip radius (r) have been investigated. In addition, the critical ratio of coating thickness to depth at
              which the substrate effect is less than 5% has been presented. It was found that increasing Yc/Ys and tip radius
              increases the CRTD. Furthermore, the CRTD is strongly dependent on the allowable degree of substrate
              effect. For example, when the substrate effect is increased from 5% to 10%, the CRTD is considerably
              reduced. Based on the FE calculations, an empirical equation has been derived in terms of the effect of
              substrate to determine the critical indentation depth when yield strength ratio is between 0.1 and 0.8 and the
              indenter tip radius is between 0 and 2 mm. 
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            1 Metallurgy and Materials Science Research Institute, Chulalongkorn University, Bangkok 10330, Thailand. 
            2 Faculty of Economics, Chulalongkorn University, Bangkok 10330, Thailand. 
            3 School of Engineering & Technology, De Montfort University, Leicester LE1 9BH, UK. 
             
            * Corresponding author, E-mail: panich@pmail.ntu.edu.sg 
             
            Received 4 Feb 2005, 
            Accepted 17 May 2006 
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