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Radial stress distribution and plastic damage zones evolution in ceramic coating/metallic interlayer/ductile substrate systems under spherical indentation were investigated numerically by axisymmetric finite element analysis (FEA) for a typical ceramic coating deposited on carbon steel with various indenter radius-coating thickness ratios and interlayer thickness-coating thickness ratios. The results showed that the suitable metallic interlayer could improve resistance of ceramic coating systems through reducing the peak tensile radial stress on the surface and interface of ceramic coatings and plastic damage zone size in the substrate under spherical indentation.

In this study we have modeled the Berkovich indentation response of elastic-plastic thin films on elastic-plastic substrates, the modulus of film and substrate being equivalent, using FEM. The stimulus for this investigation was experimental indentation data of rapidly quenched nickel thin films on stainless steel substrates, for which depth-dependent, significantly low (>50% decrease) moduli were extracted via the Oliver-Pharr method. This was notable because both film and substrate had the same elastic modulus. Previous studies showed that differences in plastic behavior could elicit such a modulus drop, for extremely hard films on substrates. In this study, we performed further FEM models to explore the modulus decrease, using aspects of continuum plastic behavior that could be hypothesized from microstructural observations. Specifically, we used plastic anisotropy and significant delayed hardening that would be expected from the nano-scale, highly columnar grain structure as input, and results showed a significant modulus decrease for reasonable values of hardness.

Lead-free piezoelectric (Bi_1/2Na_1/2)TiO₃ (abbreviated as BNT) films were deposited on 0.2 mm thick pure titanium(Ti) substrates by a hydrothermal method. Scratch tests and Vickers indentation tests were performed to quantitatively assess the adhesion strength between BNT films and Ti substrates. Some of Ti substrates were pretreated by chemical polish and mechanical polish respectively prior to BNT film deposition with a view of investigating the effects of substrate surface pretreatments on the adhesion of BNT films. In the scratch test, the critical force was determined from the variations of the tangential force and the acoustic emission (AE) signals with the normal force. The scratch test results revealed that the chemical polish pretreatment effectively improved the adhesion of BNT films. In addition, the critical substrate strain inducing the adhesion failure of BNT films has been investigated by the Vickers indentation test combined with finite element analysis (FEM).

The indentation simulation of the nanocrystalline Ni is carried out by molecular dynamics technique (MD) to study the mechanical behavior at nanometer scales. The sphere indenter is used, and simulation sample with three grains and two grain boundaries is adopted. The strength of nanocrystalline is studied as indenter is set at grain boundary and grain, respectively. Some defects such as dislocations or slipping deformation are observed. It is found that dislocations are emitted from the grain boundary or the sample surface. The temperature distribution of local region around indenter is analyzed and it can explain our MD simulation results.

Raman spectroscopy, which is a non-destructive technique, has been used to investigate the effect of sample temperature on indentation-induced crystallographic phase transitions in crystalline silicon and amorphous silicon films deposited on a sapphire crystal. It has been shown that in both types of sample, whereas 300 K Vickers diamond indentations lead to the transformation to the Si-II phase during indenter loading on the crystalline and amorphous samples, there is no such transformation in either sample when it is cooled down to 77 K. An explanation of the experimental results has been provided using the pressure–temperature phase diagram of silicon.

The aim of this paper is to establish an approach to quantitatively determine the elasto-plastic parameters of the Mo-modified Ti obtained by the plasma surface alloying technique. A micro-indentation test is conducted on the surface under 10N. Considering size effects, nanoindentation tests are conducted on the cross-section with two loads of 6 and 8mN. Assuming nanoindentation testing sublayers are homogeneous, finite element reverse analysis is adopted to determine their plastic parameters. According to the gradient distributions of the elasto-plastic parameters with depth in the Mo-modified Ti, two types of mathematical expressions are proposed. Compared with the polynomial expression, the linear simplified expression does not need the graded material to be sectioned and has practical utility in the surface treatment industry. The validation of the linear simplified expression is verified by the micro-indentation test and corresponding finite element forward analysis. This approach can assist in improving the surface treatment process of the Mo-modified Ti and further enhancing its load capacity and wear resistance.

This paper represents the nanomechanical properties of various loading levels of montmorillonite clay filled polyester composites and randomly distributed jute fiber reinforced hybrid composites through Vickers micro-hardness test. The study of indentation fracture mechanics in polymer materials is a simple and cost-effective technique for the determination of fracture toughness. Ultrasonication technique was used to disperse the clay in the polyester matrix. The hand layup method was adapted to prepare the test specimens. Incorporation of 5wt.% montmorillonite clay into the polymer matrix results in an enhancement in hardness of 26.52% and the modulus of elasticity increased from 4205.21MPa for neat polyester to 5051.46MPa with the addition of clay. Fracture toughness was observed to depend on the montmorillonite clay content, and the maximum value was observed at 5wt.% nanoclay and 25wt.% jute fibers. The results show that the increase in the fiber content reduces the crack propagation in hybrid composites and increases the fracture toughness. To predict the crack size, the scanning electron microscope images are used.

This study aims to analyze the surface pattern created on a shape memory polymer (SMP; thermoset polystyrene) after indentation by a spherical indenter, polishing off the top surface and recovery through the shape memory effect (SME) using the finite element method (FEM) and other computational techniques. Depending on how to polish, three different types of patterns are generated, namely the lens-type protrusion, flat-top protrusion and groove. The actual dimensions of the surface patterns are determined by the polishing depth and the coefficient of friction during indentation. The influence of the latter can be fixed if the coefficient of friction is over a certain value. All the lengths in this study are normalized with the respective indent depth. Hence the results can be scaled. The trends obtained here should be applicable to other shape memory polymers.

Numerical simulations of quasi-static indentation and low velocity impact of low density polymethacrylimide (PMI) Rohacell 51 WF foam using indenters with different nose shapes (conical, truncated-conical, hemi-spherical and flat) were carried out using the finite element code LS-DYNA. A 2D axisymmetric model was generated. A strain-rate dependent material model and r-adaptive remeshing were used for low velocity impact simulations. Numerical predictions matched the available experimental data very well. Moreover, the predicted resistance force closely matched the empirical results. The results demonstrated the ability of the model to reproduce the deformation mechanisms of the penetration process of Rohacell 51 WF foam.

Accurately predicting the failure of multilayered surface systems, including coatings on tools or products, is of significance for all of the parties concerned within the chain of design, manufacturing and use of a product. Previous modeling work has, however, been focused largely on the effect of individual parameters rather than on the performance of a multilayered system as a whole. Design and manufacture of multilayered surface systems, currently, still relies largely on experiments and failure tests. A parameterized approach which considers geometrical, material, interfacial and loading variables, processing history, thermal effects, surface-failure modeling, etc. has therefore been developed to address the situation in order to be able to improve the efficiency and accuracy of the analysis and design of multilayered coating-systems. Material property values for the hardened case of the substrate are described with a function of the hardened depth and defined with a field method. Initial residual stresses calculated using a newly developed theoretical model are incorporated into the model as initial stress conditions. Thermo-mechanical coupled modeling is incorporated into the model so as to be able to consider temperature effects. These are associated with a cohesive-element modeling approach, which has been used to predict indentation-induced crack initiation and propagation within the coating layer. The comparison of experimental results with those of numerical modeling affords excellent agreement.

The parameterized modeling method developed allows for the parameters to be changed easily during a series analysis. Combined with the capability of the prediction of cracking of the coatings, the developed method/model provides an efficient way for investigating the effects of these parameters on the behavior of multilayered systems, which is demonstrated by the analysis of three cases of the coated tool steels (H11): (i) a substrate without being pre-heat-treated; and (ii) two substrates with a shallow and a deep hardened-case, respectively, (both are treated by plasma-nitriding). The results showed that the case-hardening of a substrate has a significant influence on the performance of the surface system with coating, especially on its load-bearing capacity and the cracking of the coating.

In this paper, we use a deterministic multi-asperity model to investigate the elastic contact of rough spheres. Synthetic rough surfaces with controllable spectra were used to identify individual asperities, their locations and curvatures. The deterministic analysis enables to capture both particular deformation modes of individual rough surfaces and also statistical deformation regimes, which involve averaging over a big number of roughness realizations. Two regimes of contact area growth were identified: the Hertzian regime at light loads at the scale of a single asperity, and the linear regime at higher loads involving multiple contacting asperities. The transition between the regimes occurs at the load which depends on the second and the fourth spectral moments. It is shown that at light indentation the radius of circumference delimiting the contact area is always considerably larger than Hertzian contact radius. Therefore, it suggests that there is no scale separation in contact problems at light loads. In particular, the geometrical shape cannot be considered separately from the surface roughness at least for approaching greater than one standard roughness deviation.

The force response of poroelastic materials including poroelastic gels to indentation is known to be time- and space-dependent (i.e., a function of indenter shape and size). Despite the complexity of the poroelastic response and in contrast to viscoelastic mechanics, poroelastic mechanics can be captured in terms of several intrinsic mechanical properties, such as elasticity, permeability, and Poisson ratio. While these intrinsic properties can be found from time-domain or frequency-domain master curves, indentation is usually conducted and analyzed only in the time domain using stress-relaxation or creep experiments. This paper advocates using frequency-domain analysis of poroelastic gels by reviewing and analyzing the relevant works of the literature. The analysis and methods, proposed here, enable researchers to characterize dynamic moduli of poroelastic gels in frequency domain using only a few experimental defining parameters. The authors have intentionally provided extensive details and background, to make this work useful for researchers who consider using frequency-domain analysis for the first time. This work reviews and explains the instantaneous elastic modulus, depicted over normalized time as a unifying and understandable set of master curves for time-domain stress relaxation tests on poroelastic gels for cylindrical, conical, and spherical indenters. The dynamic elastic modulus, depicted over normalized frequency, are derived symbolically and numerically and explained for the first time as master curves with simple transfer function in the frequency domain for presenting poroelastic mechanics of gels.

Residual stress plays an important role in the mechanical performance of engineering structures. In this paper, the indentation of pre-stressed strain hardening materials by a rigid sphere is simulated through the finite element method. It is shown that the mean contact pressure in the post-yield regime keeps continuously increasing with the indentation proceeding. Compared to the case without residual stress, compressive residual stress tends to increase the mean contact pressure at a given indentation depth, while tensile stress has an inverse effect. To quantitatively indicate the influence of residual stress, a nominal contact pressure is defined, which obtains its maximum value at a critical depth. The dependences of the maximum nominal pressure and the critical indentation depth on the residual stress and the material properties are determined explicitly through large numbers of simulations. Inspired by the nominal pressure deviation stemmed from residual stress, a new approach is proposed for measuring residual stress through spherical indentation tests.

We present a multimodal ferrule-top sensor designed to perform the integrated epidetection of Optical Coherence Tomography (OCT) depth-profiles and micron-scale indentation by all-optical detection. By scanning a sample under the probe, we can obtain structural cross-section images and identify a region-of-interest in a nonhomogeneous sample. Then, with the same probe and setup, we can immediately target that area with a series of spherical-indentation measurements, in which the applied load is known with a $\mu$N precision, the indentation depth with sub-$\mu$m precision and a maximum contact radius of 100$\mu$m. Thanks to the visualization of the internal structure of the sample, we can gain a better insight into the observed mechanical behavior. The ability to impart a small, confined load, and perform OCT $A$-scans at the same time, could lead to an alternative, high transverse resolution, Optical Coherence Elastography (OCE) sensor.

Leukemia is a very common cancer worldwide, and different drugs have been applied to treat the disease. However, the influence of the drugs on the biomechanical properties of leukemia cells, which are related to the risk of leukostasis, is still unknown. Moreover, accurate measurement of biomechanical properties of leukemia cells is still a challenging task because of their non-adherent nature and high sensitivity to the surrounding physiological conditions. In this study, a protocol to measure the biomechanical properties of leukemia cells by performing indentation tests using optical tweezers is proposed. The biomechanical properties of normal leukemia cells and cells treated with various cancer drugs, including phorbol 12-myristate 13-acetate (PMA), all-trans retinoic acid (ATRa), Cytoxan (CTX), and Dexamethasone (DEX), were measured. The adhesion between the cells and certain proteins existing in the extracellular matrix, i.e., fibronetin and collagen I, was also characterized with the help of a static adhesion assay. It was found that after treatment by ATRa, CTX, and DEX, the cells became softer, and the adhesion between the cells and the proteins became weaker. PMA treatment caused no change in the stiffness of the HL60 cells, but increased the stiffness of the K562 cells, and increased the cell–protein adhesion of both K562 cells and HL60 cells.

A method of improving the fatigue life and crack growth behavior of a center holed specimen was investigated. Local plastic deformation was applied around the hole by indentation to achieve the purpose. A series of fatigue tests was conducted on aluminum-alloy 2024-T3. Push-pull tests were performed under a stress ratio of R= -1 and a frequency of 10Hz. The observations of the crack initiation and growth were performed with a microscope, and hardness around the hole was measured by Vickers hardness testing machine. In the present study, the longest fatigue life was observed in the case of an indentation specimen with the highest load. The indentation was performed on both sides of the hole edges. The crack growth rate was decreased by indentation or expansion of the material around the hole. From the experimental results, it is found that the fatigue life and crack growth behavior of a holed or notched specimen can be improved by a simple technical method that is related to the local plastic working.

Using molecular mechanics (MM) simulations, the failure stress of bicrystalline graphene with different tilt angles is investigated using their free-standing indentation behaviour, in which two types of grain boundaries, including armchair (ac) and zigzag (zz) grain boundaries, and two types of indenter tip, including cylindrical and spherical tips are considered. For reference purposes, the corresponding results under inplane stretching are also examined. It is found that the failure stress of grain boundary (GB) in bicrystalline graphene decreases with the decrease of the GB tilt angle $\theta$, which is similar to that determined in inplane stretching. In indentation, the stress concentration under the indenter tip will decrease the failure stress of graphene; in addition, the out-of-plane deformation of graphene in indentation can partially release the pretension induced by the GB in bicrystalline graphene. For the GB with a small prestress, the effect of the former is larger than that of the latter; but for the GB with a larger prestress, the effect of the latter is larger than that of the former. Consequently, the effect of tilt angle $\theta$ on the GB strength of bicrystalline graphene is lower in indentation than that given by inplane stretching.

Young's modulus and Poisson's ratio are the important parameters for representing the mechanical properties of soft tissue. Indentation test is an in vivo, non-invasive and convenient technique for measuring the tissue properties. In this chapter, two methods for the simultaneous estimation of Young's modulus and Poisson's ratio of soft tissues using indentation are presented. With the consideration of the finite deformation effect, the first method is based on the use of two sized indentors for conducting two different indentation tests, whereas the second one is only a single indentation test. Finite element (FE) analysis was used to demonstrate the feasibility of these two methods. The FE results were found to be comparable to the one shown in the previous literatures. It was revealed that finite deformation effect is of vital importance in the estimation of the Young's modulus and Poisson's ratio. Simultaneous estimation of these two parameters is necessary for achieving an accurate measurement of the Young's modulus.

Components in power plants and chemical plants are subjected to service conditions under which creep processes take place causing material exhaustion. Comprehensive creep damage investigations have been performed on a 1/2Cr1/2Mo1/4V pipe bend which had been taken out of service after 117,603h and 501 start-ups because of severe cracks. The propagation of creep damage in a service-exposed component has been analysed by the metallography. Indentation and hardness tests have been performed on damaged material. Also, Calculation of creep lifetime has been investigated. By measuring diametrical expansion, Accumulated creep strain and actual creep strain rate were calculated. By using the Larson-Miller Parameter, total creep lifetime was calculated. This lifetime is good agreement with actual service-exposed hour.

A method that using the nano-scale blunt round tip of cone-shaped diamond tool to indent and pierce through the metal sheet at the bottom to form a pore even ultramicropore is proposed and studied in this paper. Firstly, Deform-3D software is used to simulate and analyze the copper sheet deformation during indenting process under different constraint conditions, and finding the bottom constraint condition suitable for the pore forming. Secondly, based on the constraint condition chosen, the model is simulated in two kinds of substrate material, aluminum and glass. Then the copper plastic flow characteristics, the quality of the pore-forming and the equivalent stress distribution are analyzed through simulation. Finally, a pore-forming experiment is done to test the simulation results, showing that the hard substrate is better for the pore-forming of copper sheet.