Evaluation of the elastic modulus of thin film considering the substrate effect and geometry effect of indenter tip

Measuring elastic parameters of transversely isotropic materials by cylindrical indentation

“…To simplify the model, the value of v P is presumed to be 0.3. The sum of the other two Poisson's ratios is defined as twice that of v P , that is to say, v PL + v LP = 2v P [45,46]. However, the quantities v PL and v LP are not constant and can vary as the elastic moduli, E P and E L vary.…”

“…The analytical methods for solving the anisotropic indentation contact problem need complex iterative computation to obtain the approximate solution [32]. On the other hand, the experimental means and numerical computational approaches have also been used to investigate the indentation contact problem of anisotropic materials [32,[40][41][42][43][44][45][46][47][48][49]. Using the finite element (FE) method and optimization algorithm, the elastic-plastic mechanical property of transversely isotropic materials obeying Hill's criterion can be estimated through imprint mapping in indentation [41,45].…”

“…Based on FE analysis, an indentation technique for measuring the elastic parameters of anisotropic tissues was put forward, and it requires a condition that G P = G L (G P and G L refer to transverse isotropic shear modulus and longitudinal shear modulus) [32]. For anisotropic thin films, some studies have also been done [44,46]. For example, a nanoindentation technique with only a single indenter was used to characterize the anisotropic elastic-plastic property of electrodeposited thin films by Cheng et al, and the methodology is just suitable for transversely isotropic materials with little difference in transverse and longitudinal properties [44].…”

Identification of the elastic-plastic properties of CrN coating on elastic-plastic substrate by nanoindentation using finite element method-reverse algorithm

“…The most suitable tool for this is the Finite Element Method (FEM), which has been widely applied to indentation testing with the objective of obtaining information about the plastic properties of the coating [18][19][20]. In this case, numerous other studies proposed mechanical characterization models for the coated systems based on both the Dimensional Analysis Method (DAM) and the FEM [1,5,[21][22][23][24][25].…”