Can hyperelastic material parameters be uniquely determined from indentation experiments?

Pan, Yuhua; Zhan, Yuexing; Ji, Huanyun; Niu, Xinrui; Zhong, Zheng

doi:10.1039/c6ra15747e

Cited by 14 publications

(7 citation statements)

References 47 publications

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“…As far as the above models are concerned, the Ogden model is classically used for finite element simulations, and Neo–Hookean, Mooney–Rivlin, and Yeoh models are best used at low, moderate, and high strain levels, respectively [37]. More details about different hyperelastic models and their parameters determined from indentation can be found in the literature [37,38].…”

Section: Soft Biomaterialsmentioning

confidence: 99%

Nanoindentation of Soft Biological Materials

2018

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Nanoindentation techniques, with high spatial resolution and force sensitivity, have recently been moved into the center of the spotlight for measuring the mechanical properties of biomaterials, especially bridging the scales from the molecular via the cellular and tissue all the way to the organ level, whereas characterizing soft biomaterials, especially down to biomolecules, is fraught with more pitfalls compared with the hard biomaterials. In this review we detail the constitutive behavior of soft biomaterials under nanoindentation (including AFM) and present the characteristics of experimental aspects in detail, such as the adaption of instrumentation and indentation response of soft biomaterials. We further show some applications, and discuss the challenges and perspectives related to nanoindentation of soft biomaterials, a technique that can pinpoint the mechanical properties of soft biomaterials for the scale-span is far-reaching for understanding biomechanics and mechanobiology.

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Section: Soft Biomaterialsmentioning

confidence: 99%

Nanoindentation of Soft Biological Materials

2018

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“…Therefore, a number of researchers have adopted the method of combining analytical solutions, experimental studies, and FEM simulations to obtain quantitatively elastic properties of soft materials. ,− For example, Lin et al proposed analytical relations based on Hertz theory for different hyperelastic models and proved that solutions obtained on the basis of Hertz theory with a spherical indenter are acceptable when the ratio of the indentation depth and indenter radius is small. In one study, the uniqueness of determining material parameters of different hyperelastic models was discussed in detail by Pan et al, and Valero et al has introduced a correction factor when calculating the reaction force for an elastic model and a hyperelastic model based on simulation results by comparing the estimation of the reaction force with the Hertz model and those from the FEM simulation based on both elastic materials and isotropic hyperelastic materials. An analytical form of the load-depth relation for the neo-Hookean model was introduced by Zhang et al, and they have quantified the difference between the Hertz solution and the true nonlinear response.…”

Section: Introductionmentioning

confidence: 99%

“…22,31−33 For example, Lin et al 34 proposed analytical relations based on Hertz theory for different hyperelastic models and proved that solutions obtained on the basis of Hertz theory with a spherical indenter are acceptable when the ratio of the indentation depth and indenter radius is small. In one study, the uniqueness of determining material parameters of different hyperelastic models was discussed in detail by Pan et al, 32 and Valero et al 22 has introduced a correction factor when calculating the reaction force for an elastic model and a hyperelastic model based on simulation results by comparing the estimation of the reaction force with the Hertz model and those from the FEM simulation based on both elastic materials and isotropic hyperelastic materials. An analytical form of the load-depth relation for the neo-Hookean model was introduced by Zhang et al, 35 and they have quantified the difference between the Hertz solution and the true nonlinear response.…”

Section: ■ Introductionmentioning

confidence: 99%

Biomechanical Heterogeneity of Living Cells: Comparison between Atomic Force Microscopy and Finite Element Simulation

et al. 2018

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Atomic force microscopy (AFM) indentation is a popular method for characterizing the micromechanical properties of soft materials such as living cells. However, the mechanical data obtained from deep indentation measurements can be difficult and problematic to interpret as a result of the complex geometry of a cell, the nonlinearity of indentation contact, and constitutive relations of heterogeneous hyperelastic soft components. Living MDA-MB-231 cells were indented by spherical probes to obtain morphological and mechanical data that were adopted to build an accurate finite element model (FEM) for a parametric study. Initially, a 2Daxisymmetric numerical model was constructed with the main purpose of understanding the effect of geometrical and mechanical properties of constitutive parts such as the cell body, nucleus, and lamellipodium. A series of FEM deformation fields were directly compared with atomic force spectroscopy in order to resolve the mechanical convolution of heterogeneous parts and quantify Young's modulus and the geometry of nuclei. Furthermore, a 3D finite element model was constructed to investigate indentation events located far from the axisymmetric geometry. In this framework, the joint FEM/AFM approach has provided a useful methodology and a comprehensive characterization of the heterogeneous structure of living cells, emphasizing the deconvolution of geometrical structure and the true elastic modulus of the cell nucleus.

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“…Nanoindentations are also widely employed to characterise the elastic properties and the mechanical behaviour of materials at the micro- and nanoscale 14 15 . They require high-resolution testing equipment and in some cases also time and particular tools for the sample preparation (i.e.…”

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confidence: 99%

Full deflection profile calculation and Young’s modulus optimisation for engineered high performance materials

Farsi

Pullen

Latham

et al. 2017

Sci Rep

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New engineered materials have critical applications in different fields in medicine, engineering and technology but their enhanced mechanical performances are significantly affected by the microstructural design and the sintering process used in their manufacture. This work introduces (i) a methodology for the calculation of the full deflection profile from video recordings of bending tests, (ii) an optimisation algorithm for the characterisation of Young’s modulus, (iii) a quantification of the effects of optical distortions and (iv) a comparison with other standard tests. The results presented in this paper show the capabilities of this procedure to evaluate the Young’s modulus of highly stiff materials with greater accuracy than previously possible with bending tests, by employing all the available information from the video recording of the tests. This methodology extends to this class of materials the possibility to evaluate both the elastic modulus and the tensile strength with a single mechanical test, without the need for other experimental tools.

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Can hyperelastic material parameters be uniquely determined from indentation experiments?

Abstract: Uniqueness of hyperelastic parameters depends on a simple criterion: whether dimensionless material parameters are coupled with indentation displacement.

Cited by 14 publications

References 47 publications

Nanoindentation of Soft Biological Materials

Nanoindentation of Soft Biological Materials

Biomechanical Heterogeneity of Living Cells: Comparison between Atomic Force Microscopy and Finite Element Simulation

Full deflection profile calculation and Young’s modulus optimisation for engineered high performance materials

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