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      Fundamental aspects and recent progress on wear/scratch damage in polymer nanocomposites

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      Materials Science and Engineering: R: Reports
      Elsevier BV

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          The operated Markov´s chains in economy (discrete chains of Markov with the income)

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            An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments

            The indentation load-displacement behavior of six materials tested with a Berkovich indenter has been carefully documented to establish an improved method for determining hardness and elastic modulus from indentation load-displacement data. The materials included fused silica, soda–lime glass, and single crystals of aluminum, tungsten, quartz, and sapphire. It is shown that the load–displacement curves during unloading in these materials are not linear, even in the initial stages, thereby suggesting that the flat punch approximation used so often in the analysis of unloading data is not entirely adequate. An analysis technique is presented that accounts for the curvature in the unloading data and provides a physically justifiable procedure for determining the depth which should be used in conjunction with the indenter shape function to establish the contact area at peak load. The hardnesses and elastic moduli of the six materials are computed using the analysis procedure and compared with values determined by independent means to assess the accuracy of the method. The results show that with good technique, moduli can be measured to within 5%.
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              Exceptionally high Young's modulus observed for individual carbon nanotubes

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                Author and article information

                Journal
                Materials Science and Engineering: R: Reports
                Materials Science and Engineering: R: Reports
                Elsevier BV
                0927796X
                January 2009
                January 2009
                : 63
                : 2
                : 31-80
                Article
                10.1016/j.mser.2008.10.001
                6583a4f2-0b4a-4474-948d-578a7c9a65ff
                © 2009

                https://www.elsevier.com/tdm/userlicense/1.0/

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