Anisotropic hyperelastic behavior of soft biological tissues

Chen, Z.-W.; Joli, Pierre; Feng, Zhi-Qiang

doi:10.1080/10255842.2014.915082

Cited by 25 publications

(12 citation statements)

References 28 publications

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“…The functions extend from the well-known long-established Neo-Hookean and Mooney-Rivlin models (originated respectively by Treloar [37] in 1943, and Rivlin and Saunders [38] in 1951) to the recently inaugurated models, as the ones proposed by Nolan et al [39] in 2014, Chen et al [40] in 2015, and Carniel and Fancello [41] in 2017. On the basis of the outcomes of several investigations, which have been referred in Section 3.1, three strain energy functions,Mooney-Rivlin model (special first-order form of generalized Rivlin model),Yeoh model,Second-order generalized Rivlin model, aka (second-order) polynomial model,…”

Section: Methodsmentioning

confidence: 80%

Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography

Dastjerdi

Fallah

Rashidi

2018

BioMed Research International

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Hyperelastic models have been acknowledged as constitutive equations which reliably model the nonlinear behaviors observed from soft tissues under various loading conditions. Among them, the Mooney-Rivlin, Yeoh, and polynomial models have been proved capable of accurately modeling responses of breast tissues to applied compressions. Hyperelastic elastography technique takes advantage of the disparities between hyperelastic parameters of varied tissues and the change in hyperelastic parameters in pathological processes. The precise reconstruction of hyperelastic parameters of a completely unknown pathology in the breast in a noninvasive and nondestructive way using the ultrasound elastography has been scrutinized in this paper. In the ultrasound elastography, tissue displacement field is extracted from radio frequency signals or images recorded using the ultrasound medical imaging system; hence the exact displacement field might not be obtained. Our results indicate that the parameters estimated by manipulating the iterative sensitivity-matrix based method converge to tissue's real hyperelastic parameters providing appropriate parameters are assigned to the hypothetical hyperelastic and regularization parameters. Iterative methods have therefore been proposed to compute proper hypothetical hyperelastic and regularization parameters. Accurate estimates of hyperelastic parameters of obscure breast pathology have been achieved even from imprecise measurements of displacements induced in the tissue by the ramp excitation.

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Section: Methodsmentioning

confidence: 80%

Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography

Dastjerdi

Fallah

Rashidi

2018

BioMed Research International

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“…However, the constitutive response of soft tissues and biomaterials differs from that of linearly elastic and isotropic engineering materials. First, the former generally exhibit nonlinear stress-strain (σ-ε) behaviour (Hollister et al, 2011;Mattei et al, 2014); second, their mechanical response is often characterised by a significant time-dependence, which is typically described by empirical lumped parameter viscoelastic models (Galli et al, 2011a(Galli et al, , 2011bRaghunathan et al, 2010); third, these materials are likely to be both macroscopically and microscopically anisotropic, especially in case of biological tissues (Chen et al, 2015). Therefore, blindly testing these materials with commercial nano-indenters that return elastic and plastic properties is generally reductive and unlikely to provide an accurate description of their mechanical behaviour.…”

Section: Introductionmentioning

confidence: 99%

The nano-epsilon dot method for strain rate viscoelastic characterisation of soft biomaterials by spherical nano-indentation

Mattei

Gruca

Rijnveld

et al. 2015

Journal of the Mechanical Behavior of Biomedical Materials

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Nano-indentation is widely used for probing the micromechanical properties of materials. Based on the indentation of surfaces using probes with a well-defined geometry, the elastic and viscoelastic constants of materials can be determined by relating indenter geometry and measured load and displacement to parameters which represent stress and deformation. Here we describe a method to derive the viscoelastic properties of soft hydrated materials at the micro-scale using constant strain rates and stress-free initial conditions. Using a new self-consistent definition of indentation stress and strain and corresponding unique depth-independent expression for indentation strain rate, the epsilon dot method, which is suitable for bulk compression testing, is transformed to nano-indentation. We demonstrate how two materials can be tested with a displacement controlled commercial nano-indentor using the nano-espilon dot method (nano-ε̇M) to give values of instantaneous and equilibrium elastic moduli and time constants with high precision. As samples are tested in stress-free initial conditions, the nano-ε̇M could be useful for characterising the micro-mechanical behaviour of soft materials such as hydrogels and biological tissues at cell length scales.

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“…[7, 21] These devices also, by consequence, operate in a largely simple, 2D manner, thereby limiting their utility when full, three-dimensional (3D) motions are required. For example, biological cells [22–25] and tissues [26–29] have anisotropic mechanical properties. Investigating the mechanical properties of these materials demands devices with capabilities for operation in 3D space.…”

Section: Introductionmentioning

confidence: 99%

3D Tunable, Multiscale, and Multistable Vibrational Micro‐Platforms Assembled by Compressive Buckling

Ning

Wang

et al. 2017

Adv Funct Materials

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Microelectromechanical systems remain an area of significant interest in fundamental and applied research due to their wide ranging applications. Most device designs, however, are largely two-dimensional and constrained to only a few simple geometries. Achieving tunable resonant frequencies or broad operational bandwidths requires complex components and/or fabrication processes. The work presented here reports unusual classes of three-dimensional (3D) micromechanical systems in the form of vibratory platforms assembled by controlled compressive buckling. Such 3D structures can be fabricated across a broad range of length scales and from various materials, including soft polymers, monocrystalline silicon, and their composites, resulting in a wide scope of achievable resonant frequencies and mechanical behaviors. Platforms designed with multistable mechanical responses and vibrationally de-coupled constituent elements offer improved bandwidth and frequency tunability. Furthermore, the resonant frequencies can be controlled through deformations of an underlying elastomeric substrate. Systematic experimental and computational studies include structures with diverse geometries, ranging from tables, cages, rings, ring-crosses, ring-disks, two-floor ribbons, flowers, umbrellas, triple-cantilever platforms, and asymmetric circular helices, to multilayer constructions. These ideas form the foundations for engineering designs that complement those supported by conventional, microelectromechanical systems, with capabilities that could be useful in systems for biosensing, energy harvesting and others.

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Anisotropic hyperelastic behavior of soft biological tissues

Cited by 25 publications

References 28 publications

Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography

Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography

The nano-epsilon dot method for strain rate viscoelastic characterisation of soft biomaterials by spherical nano-indentation

3D Tunable, Multiscale, and Multistable Vibrational Micro‐Platforms Assembled by Compressive Buckling

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