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Material-length-scale-controlled nanoindentation size effects due to strain-gradient plasticity
Affiliation:1. Department of Mechanical Engineering, University of Pittsburgh, 648 Benedum Hall, Pittsburgh, PA 15261, USA;2. Alcoa Technical Center, Alcoa Inc., PA 15069, USA;1. School of Mechanical Engineering, University of Jinan, Jinan 250022, China;2. National Key Laboratory of Advanced Welding Production Technology & School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;1. School of Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, OR 97331-6001, USA;2. Division of Materials Science and Engineering, Hanyang University, Seoul 04763, South Korea;3. School of Mechanical, Materials, Mechatronic and Biomedical Engineering, University of Wollongong, Wollongong 2522, Australia;4. Australian Nuclear Science and Technology Organisation, Lucas Heights 2234, Australia;5. Materials and Engineering Science Program, Guangdong Technion – Israel Institute of Technology, Shantou, Guangdong 515063, China;1. 480 Stadium Mall Drive, School of Chemical Engineering, Purdue University, West Lafayette, IN 47907, United States;2. 585 Purdue Mall, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, United States;1. Nuclear Physics Institute, ASCR, Rez, Czech Republic;2. CEITEC, Institute of Physics of Materials, ASCR, Brno, Czech Republic;3. SINQ, Paul Scherrer Institute, Villigen, Switzerland;4. Swiss Light Source, Paul Scherrer Institute, Villigen, Switzerland;1. Titanium Department, Korea Institute of Materials Science, Changwon 51508, Republic of Korea;2. Department of Materials Science and Engineering, Research Institute of Advanced Materials & Institute of Engineering Research, Seoul National University, Seoul 08826, Republic of Korea;3. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
Abstract:This paper proposes a concept of strain-gradient plasticity that is based on characteristic material length scale. Experimental results for indentation size effect are correlated with the predictions from a dislocation-based strain-gradient plasticity model. Nanoindentations on single crystals of Al, Ag, Ni, polycrystalline Cu and poly-synthetically twinned (PST) lamellar α2- and γ-TiAl are conducted with an atomic force microscope with an add-on force transducer from Hysitron, Inc. It is found that the indentation size effect is controlled by a characteristic material length scale l, which is a function of the Burger’s vector, the shear modulus, and a material reference stress. The material length scales are found to be in the order lAg>lNi>lAl>lCu>lα2-TiAl>lγ-TiAl, which corresponds to the indentation size effect.
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