Restricted accessResearch articleFirst published online 2015-6
Determination of elastic and viscoplastic material properties obtained from indentation tests using a combined finite element analysis and optimization approach
Conventional indentation tests do not provide an accurate estimation of viscoplastic material properties. In this work, a combined finite element analysis and optimization approach is developed for the determination of elastic–plastic and creep material properties using only a single indentation loading–unloading curve based on a two-layer viscoplasticity model. Utilizing the indentation loading–unloading curve obtained from a finite element-simulated experiment with a spherical and a conical indenter, a set of six key material properties (Young’s modulus, yield stress, work hardening exponent and three creep parameters) can be determined. Non-linear optimization algorithms are used with different sets of initial material properties, leading to good agreements with the numerically simulated target loading–unloading curves.
OliverWCPharrGM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res1992; 7: 1564–1583.
2.
AntunesJMFernandesJVMenezesLF. A new approach for reverse analysis in depth-sensing indentation using numerical simulation. Acta Mater2007; 55: 69–81.
DaoMChollacoopNVan VlietKJ. Computational modelling of the forward and reverse problems in instrumented sharp indentation. Acta Mater2001; 49: 2899–2918.
5.
LuoJLinJDeanTA. A study on the determination of mechanical properties of a power law material by its indentation force–depth curve. Philos Mag2006; 86: 2881–2905.
6.
OgasawaraNChibaNChenX. Representative strain of indentation analysis. J Mater Res2005; 20: 2225–2234.
7.
ChaiwutGEstebanPB. Characterization of elastoplastic properties based on inverse analysis and finite element modeling of two separate indenters. J Eng Mater Technol2007; 129: 603–608.
8.
KangJJBeckerAASunW. Determining elastic–plastic properties from indentation data obtained from finite element simulations and experimental results. Int J Mech Sci2012; 62: 34–46.
9.
KangJJBeckerAASunW. A combined dimensional analysis and optimization approach for determining elastic–plastic properties from indentation tests. J Strain Anal2011; 46: 749–759.
10.
MayoMJNixWD. A micro-indentation study of superplasticity in Pb, Sn, and Sn–38 wt% Pb. Acta Metall1988; 36: 2183–2192.
11.
GeranmayehARMahmudiR. Room-temperature indentation creep of lead-free Sn–5% Sb solder alloy. J Electron Mater2005; 34: 1002–1009.
12.
ChuSNGLiJCM. Impression creep; a new creep test. J Mater Sci1977; 12: 2200–2208.
13.
JuhaszATasnadiPSzaszvariP. Investigation of the superplasticity of tin–lead eutectic by impression creep tests. J Mater Sci1986; 21: 3287–3291.
14.
SargentPMAshbyMF. Indentation creep. Mater Sci Technol1992; 8: 887–897.
15.
ZhangKWeertmanJREastmanJA. The influence of time, temperature, and grain size on indentation creep in high-purity nanocrystalline and ultrafine grain copper. Appl Phys Lett2004; 85: 5197–5199.
16.
NganAHWTanB. Viscoelastic effects during unloading in depth-sensing indentation. J Mater Res2002; 17: 2604–2610.
17.
NganAHWWangHTTangB. Correcting power-law viscoelastic effects in elastic modulus measurement using depth-sensing indentation. Int J Solids Struct2005; 42: 1831–1846.
18.
Fischer-CrippsAC. Multiple-frequency dynamic nanoindentation testing. J Mater Res2004; 19: 2981–2988.
19.
HuangGWangBLuH. Measurements of viscoelastic functions of polymers in the frequency-domain using nanoindentation. Mech Time-Depend Mater2004; 8: 345–364.
20.
TweedieCAVan VlietK. Contact creep compliance of viscoelastic materials via nanoindentation. J Mater Res2006; 21: 1576–1589.
21.
YangSZhangYWZengK. Analysis of nanoindentation creep for polymeric material. J Appl Phys2004; 95(7): 3655–3633.
22.
ZhangCYZhangYWZengKY. Nanoindentation of polymers with a sharp indenter. J Mater Res2005; 20(6): 1597–1605.
23.
ABAQUS, Tutorial manual version 6.8, Pawtucket: Hibbitt, Karlsson and Sorensen, Inc., 2010.
24.
SolasiRZouYHuangX. A time and hydration dependent viscoplastic model for polyelectrolyte membranes in fuel cells. Mech Time-Depend Mater2008; 12: 15–30.
