TY - JOUR
T1 - The equivalence of axisymmetric indentation model for three-dimensional indentation hardness
AU - Qin, J.
AU - Huang, Y.
AU - Xiao, J.
AU - Hwang, K. C.
N1 - Funding Information:
Y. Huang acknowledges the support from NSF (Grant No. CMS-0084980) and ONR (Grant No. N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse). The support from NSFC is also acknowledged.
PY - 2009/3
Y1 - 2009/3
N2 - Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.
AB - Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.
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U2 - 10.1557/jmr.2009.0095
DO - 10.1557/jmr.2009.0095
M3 - Article
AN - SCOPUS:63149193432
VL - 24
SP - 776
EP - 783
JO - Journal of Materials Research
JF - Journal of Materials Research
SN - 0884-2914
IS - 3
ER -