The remarkable Gent constitutive model for hyperelastic materials

Horgan, Cornelius O.

doi:10.1016/j.ijnonlinmec.2014.05.010

Cited by 148 publications

(71 citation statements)

References 77 publications

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“…To have a detailed idea of the features of this model, we refer to the two recent papers [49] and [50]. Here the aim is only to connect this model with the mesoscopic structure of material.…”

Section: A Molecular Version Of the Gent Modelmentioning

confidence: 99%

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Puglisi

Saccomandi

2016

Proc. R. Soc. A.

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We survey, in a partial way, multi-scale approaches for the modelling of rubber-like and soft tissues and compare them with classical macroscopic phenomenological models. Our aim is to show how it is possible to obtain practical mathematical models for the mechanical behaviour of these materials incorporating mesoscopic (network scale) information. Multi-scale approaches are crucial for the theoretical comprehension and prediction of the complex mechanical response of these materials. Moreover, such models are fundamental in the perspective of the design, through manipulation at the micro-and nano-scales, of new polymeric and bioinspired materials with exceptional macroscopic properties.

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Section: A Molecular Version Of the Gent Modelmentioning

confidence: 99%

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Puglisi

Saccomandi

2016

Proc. R. Soc. A.

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“…Our continuum model of LCEs allows us to capture the macroscopic response of the material due to conformational changes of the constituent polymer chains (19). Within this framework, we use the Gent model (25) for rubber elasticity to describe the resistance of the material to shear deformations. This model accounts for the finite extensibility of the polymer chains (as well as the thermally induced entropic contraction of rubbery materials) and thereby characterizes the behavior of responsive elastomers more accurately than the simpler neo-Hookean model (26).…”

Section: Theoretical Modelingmentioning

confidence: 99%

Twist again: Dynamically and reversibly controllable chirality in liquid crystalline elastomer microposts

Waters

Yao

et al. 2020

Sci. Adv.

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Photoresponsive liquid crystalline elastomers (LCEs) constitute ideal actuators for soft robots because their lightinduced macroscopic shape changes can be harnessed to perform specific articulated motions. Conventional LCEs, however, do not typically exhibit complex modes of bending and twisting necessary to perform sophisticated maneuvers. Here, we model LCE microposts encompassing side-chain mesogens oriented along a magnetically programmed nematic director, and azobenzene cross-linkers, which determine the deformations of illuminated posts. On altering the nematic director orientation from vertical to horizontal, the post's bending respectively changes from light-seeking to light-avoiding. Moreover, both modeling and subsequent experiments show that with the director tilted at 45°, the initially achiral post reversibly twists into a right-or left-handed chiral structure, controlled by the angle of incident light. We exploit this photoinduced chirality to design "chimera" posts (encompassing two regions with distinct director orientations) that exhibit simultaneous bending and twisting, mimicking motions exhibited by the human musculoskeletal system.

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“…Authors have also shown the effectiveness of the Gent model in describing the behaviour of traditional and many new elastomeric and biological materials. Extensions and widespread applications of the Gent model in rubber elasticity and in the area of biomechanics of soft biomaterials are reviewed in a recent paper from Horgan [44].…”

Section: Gent Modelmentioning

confidence: 99%

Isotropic incompressible hyperelastic models for modelling the mechanical behaviour of biological tissues: a review

Wex

Arndt

Stoll

et al. 2015

Biomedical Engineering / Biomedizinische Technik

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Modelling the mechanical behaviour of biological tissues is of vital importance for clinical applications. It is necessary for surgery simulation, tissue engineering, finite element modelling of soft tissues, etc. The theory of linear elasticity is frequently used to characterise biological tissues; however, the theory of nonlinear elasticity using hyperelastic models, describes accurately the nonlinear tissue response under large strains. The aim of this study is to provide a review of constitutive equations based on the continuum mechanics approach for modelling the rate-independent mechanical behaviour of homogeneous, isotropic and incompressible biological materials. The hyperelastic approach postulates an existence of the strain energy function--a scalar function per unit reference volume, which relates the displacement of the tissue to their corresponding stress values. The most popular form of the strain energy functions as Neo-Hookean, Mooney-Rivlin, Ogden, Yeoh, Fung-Demiray, Veronda-Westmann, Arruda-Boyce, Gent and their modifications are described and discussed considering their ability to analytically characterise the mechanical behaviour of biological tissues. The review provides a complete and detailed analysis of the strain energy functions used for modelling the rate-independent mechanical behaviour of soft biological tissues such as liver, kidney, spleen, brain, breast, etc.

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The remarkable Gent constitutive model for hyperelastic materials

Cited by 148 publications

References 77 publications

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Multi-scale modelling of rubber-like materials and soft tissues:an appraisal

Twist again: Dynamically and reversibly controllable chirality in liquid crystalline elastomer microposts

Isotropic incompressible hyperelastic models for modelling the mechanical behaviour of biological tissues: a review

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