Spherical indentation of soft matter beyond the Hertzian regime: numerical and experimental validation of hyperelastic models

Lin, David C.; Shreiber, David I.; Dimitriadis, Emilios K.; Horkay, Ferenc

doi:10.1007/s10237-008-0139-9

Cited by 265 publications

(170 citation statements)

References 63 publications

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“…The strain is maximum at the center of the area of contact, and minimal at the rim. On an axis spanning the center of the two spheres, it is highest at the surface of contact and decreases inside the medium (40). It is therefore difficult to characterize the nonlinear behavior of elastic materials using spherical contacts.…”

Section: Resultsmentioning

confidence: 99%

Impact of branching on the elasticity of actin networks

Pujol

Roure

Fermigier

et al. 2012

Proc. Natl. Acad. Sci. U.S.A.

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Actin filaments play a fundamental role in cell mechanics: assembled into networks by a large number of partners, they ensure cell integrity, deformability, and migration. Here we focus on the mechanics of the dense branched network found at the leading edge of a crawling cell. We develop a new technique based on the dipolar attraction between magnetic colloids to measure mechanical properties of branched actin gels assembled around the colloids. This technique allows us to probe a large number of gels and, through the study of different networks, to access fundamental relationships between their microscopic structure and their mechanical properties. We show that the architecture does regulate the elasticity of the network: increasing both capping and branching concentrations strongly stiffens the networks. These effects occur at protein concentrations that can be regulated by the cell. In addition, the dependence of the elastic modulus on the filaments' flexibility and on increasing internal stress has been studied. Our overall results point toward an elastic regime dominated by enthalpic rather than entropic deformations. This result strongly differs from the elasticity of diluted cross-linked actin networks and can be explained by the dense dendritic structure of lamellipodium-like networks.cytoskeleton | dendritic networks | magnetic dipolar forces | enthalpic elasticity | semiflexible polymer

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Section: Resultsmentioning

confidence: 99%

Impact of branching on the elasticity of actin networks

Pujol

Roure

Fermigier

et al. 2012

Proc. Natl. Acad. Sci. U.S.A.

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“…The Mooney-Rivlin model was introduced as one specific case of the polynomial form (Mooney, 1940); it was also studied by Rivlin in a series of papers on large elastic deformations [38] .…”

Section: Structural Analysismentioning

confidence: 99%

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Cardoso¹,

Fernandes²,

Lima³

et al. 2018

Mechanics Research Communications

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a b s t r a c tBrain aneurysms are pathological dilatations of cerebral arteries and are known as one of the most common and serious cerebrovascular events. However, patients with cerebral aneurysms do not exhibit evident symptoms until they rupture. The main objective of the present study is to perform numerical characterizations of the biomechanical behavior of aneurysms in order to analyze the blood vessel wall behavior during the formation of an aneurysm. By taking into account different geometric and physiological parameters, flow simulations of a well-known Newtonian fluid (glycerin) was performed using the commercial finite volume method package Ansys® -Fluent, and pressure along the channel was determined. These pressures were imported into the channel, in the Ansys®-Static Structural, in order to evaluate and analyze the displacement and strain fields in the channel wall, caused by the internal pressure induced by the fluid flow. All calculations were performed by using the most widely accepted hyperelastic constitutive models and it was found that any constitutive model can be applied to this kind of studies, allowing to visualize where pressure achieves its maximum value and consequently, the most favorable region where the rupture is more likely to occur.

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“…Numerical simulations have also been performed to investigate and clarify these issues. 39,52 The critical points in using sharp AFM tips in mechanical measurements can be summarized as follows.…”

Section: Sharp Tipsmentioning

confidence: 99%

Nanomechanical and topographical imaging of living cells by atomic force microscopy with colloidal probes

Puricelli

Galluzzi

Schulte

et al. 2015

Review of Scientific Instruments

161

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Atomic Force Microscopy (AFM) has a great potential as a tool to characterize mechanical and morphological properties of living cells; these properties have been shown to correlate with cells' fate and patho-physiological state in view of the development of novel early-diagnostic strategies. Although several reports have described experimental and technical approaches for the characterization of cellular elasticity by means of AFM, a robust and commonly accepted methodology is still lacking.Here we show that micrometric spherical probes (also known as colloidal probes) are well suited for performing a combined topographic and mechanical analysis of living cells, with spatial resolution suitable for a complete and accurate mapping of cell morphological and elastic properties, and superior reliability and accuracy in the mechanical measurements with respect to conventional and widely used sharp AFM tips. We address a number of issues concerning the nanomechanical analysis, including the applicability of contact mechanical models and the impact of a constrained contact geometry on the measured Young's modulus (the finite-thickness effect). We have tested our protocol by imaging living PC12 and MDA-MB-231 cells, in order to demonstrate the importance of the correction of the finite-thickness effect and the change in Young's modulus induced by the action of a cytoskeleton-targeting drug.

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Spherical indentation of soft matter beyond the Hertzian regime: numerical and experimental validation of hyperelastic models

Cited by 265 publications

References 63 publications

Impact of branching on the elasticity of actin networks

Impact of branching on the elasticity of actin networks

Biomechanical analysis of PDMS channels using different hyperelastic numerical constitutive models

Nanomechanical and topographical imaging of living cells by atomic force microscopy with colloidal probes

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