Volume-controlled cavity expansion for probing of local elastic properties in soft materials

Raayai-Ardakani, Shabnam; Chen, Zhantao; Earl, Darla Rachelle; Cohen, Tal

doi:10.1039/c8sm02142b

Cited by 46 publications

(63 citation statements)

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“…NH behavior and when analyzed against the Ogden model, it is possible to capture an exponent of N = 2.40 ± 0.14, again nearly identical to the NH response. 4 Figure 3: Variation of the average shear modulus measured for PDMS samples as a function of the cross-linking density, in comparison with our previous measurements [46], as well as the measurements of Wang et al [92] and Seghir and Arscott [93].…”

Section: Resultsmentioning

confidence: 61%

“…Our data fitting process [46], which is a search procedure based on trial and error, relies on the first derivative of the pressure with respect to λ to correct the value of the guessed shear modulus used at every step. Using Eq.1 with λ b = 1 we can write…”

Section: Experimental Methods and Data Analysismentioning

confidence: 99%

“…B/A → ∞) then λ b → 1. It was previously shown that within the range 1 < λ < 1.8, the cavity expansion response of NH bodies of B/A > 10 are nearly identical [46,47]. The response of soft materials are described by various constitutive formulations, generically written based on the deformation gradient or simplified in terms of the principal stretches or the invariants of the Cauchy Green strain tensor.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…This result was previously used in [46] for the analysis of VCCE data for soft PDMS samples (µ < 80 [kPa]). However, the NH formulation can only capture the response of the material in terms of the shear modulus and applies for moderate strains.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Recently, the method of Volume Controlled Cavity Expansion (VCCE) was introduced in [46] where the shear modulus is extracted through volume controlled injection of an incompressible fluid to expand a cavity inside the material while measuring the internal pressure. The applicability of VCCE was confirmed in soft PDMS (polydimethylsiloxane) samples, for which the neo-Hookean (NH) constitutive model is able to provide a reliable representation of the material behavior prior to failure.…”

Section: Introductionmentioning

confidence: 99%

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Capturing strain stiffening using Volume Controlled Cavity Expansion

Raayai-Ardakani

Cohen

2019

Extreme Mechanics Letters

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Strain-stiffening is a well-documented behavior in soft biological materials such as liver and brain tissue. Measuring and characterizing this nonlinear response, which is commonly considered as a mechanism for damage prevention, is of great interest to engineers for design of better biomimetic materials, and to physicians for diagnostic purposes. However, probing the elastic response of soft or biological materials at large deformation in their natural habitat, is an arduous task. Here, we present the Volume Controlled Cavity Expansion (VCCE) technique as an in-vivo measurement method that offers the ability of characterizing the stiffening response of materials in addition to identifying their shear modulus. By employing minimal constitutive representations involving only two constants (Mooney-Rivlin, Gent, and Ogden) we show that for the conventional PDMS samples, this technique and an accompanying data analysis method capture the shear modulus, as well as providing reliable measures of the stiffening behavior of the samples.

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Section: Resultsmentioning

confidence: 61%

Section: Experimental Methods and Data Analysismentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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