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Determination of Young's modulus by nanoindentation

Science China(Technological Sciences) 2004年第4期47卷 398-408页

作者： ma dejun1,{1.,{2., beijing 100072. China 2. Department of Applied Physics and materials research Center, The Hong Kong Polytechnic University, Hong Kong, China 3. State Key Laboratory for Mechanical Behavior of materials, Xian Jiaotong University, Xian 71.049, China 1. surface {1. research institute CMES 100072 Beijing China 2. Department of Applied Physics and materials {1. Center The Hong Kong Polytechnic University Hong Kong China 3. State Key Laboratory for Mechanical Behavior of materials Xi’an Jiaotong University 710049 Xi’an China

A methodology for determining Youngs modulus of materials by non-ideally sharp indentation has been developed. According to t{1. principle of t{1. same area-to-depth ratio, a non-ideally pyramidal indenter like a Berkov... 详细信息

A methodology for determining Youngs modulus of materials by non-ideally sharp indentation has been developed. According to the principle of the same area-to-depth ratio, a non-ideally pyramidal indenter like a Berkovich one can be approximated by a non-ideally conical indenter with a spherical cap at the tip. By applying dimensional and finite element analysis to the non-ideally conical indentation, a set of approximate one-to-one relationships between the ratio of nominal hardness/reduced Youngs modulus and the ratio of elastic work/total work, which correspond to different tip bluntness, have been revealed. The nominal hardness is defined as the maximum indentation load divided by the cross-section area of the conical indenter specified at the maximum indentation depth. As a consequence, Youngs modulus can be determined from a nanoindentation test only using the maximum indentation load and depth, and the work done during loading and unloading processes. The new method for determining Youngs modulus is referred to as pure energy method. The validity of the method was examined by performing indentation tests on five materials. The experimental results and the standard reference values are in good agreement, indicating that the proposed pure energy method is a promising substitution for the most widely used analysis models at present.

关键词： Young's modulus, nanoindentation, nominal hardness, indentation work.

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