A transversely isotropic viscohyperelastic material

Limbert, Georges; Middleton, J.

doi:10.1016/j.ijsolstr.2004.02.057

Cited by 126 publications

(30 citation statements)

References 40 publications

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“…The model uses the thermodynamical framework proposed by Limbert and Middleton [38] for hyper-viscoelastic transversely isotropic solids. Although the framework was first derived for the description of human muscles, it is well adapted for the description of uncured prepreg as both materials are highly viscous and present one strong direction of anisotropy.…”

Section: Uncured Prepregmentioning

confidence: 99%

Consolidation-Driven Defect Generation in Thick Composite Parts

Belnoue

Nixon-Pearson

Thompson

et al. 2018

Journal of Manufacturing Science and Engineering

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Fiber waviness is one of the most significant defects that occurs in composites due to the severe knockdown in mechanical properties that it causes. This paper investigates the mechanisms for the generation of fiber path defects during processing of composites prepreg materials and proposes new predictive numerical models. A key focus of the work was on thick sections, where consolidation of the ply stack leads to out of plane ply movement. This deformation can either directly lead to fiber waviness or can cause excess fiber length in a ply that in turn leads to the formation of wrinkles. The novel predictive model, built on extensive characterization of prepregs in small-scale compaction tests, was implemented in the finite element software ABAQUS as a bespoke user-defined material. A number of industrially relevant case studies were investigated to demonstrate the formation of defects in typical component features. The validated numerical model was used to extend the understanding gained from manufacturing trials to isolate the influence of various material, geometric, and process parameters on defect formation.

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Section: Uncured Prepregmentioning

confidence: 99%

Consolidation-Driven Defect Generation in Thick Composite Parts

Belnoue

Nixon-Pearson

Thompson

et al. 2018

Journal of Manufacturing Science and Engineering

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“…Explicitly rate-dependent models of soft tissues are particularly well suited to high strainrate situations such as those occurring during vehicle accidents, sport activities, impact and blast [139,[141][142][143][144]. These models generally postulate the existence of a viscous potential ψ v from which the viscous dissipative effects (denoted by scalar D) arise by differentiation with respect to the rate of the Cauchy-Green deformation tensorĊ = ∂C/∂t:…”

Section: (I) Quasi-linear Viscoelasticity and Its Derivativesmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas.

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“…Previous investigators have found that nonlinear stress-strain relationship in soft tissue can be modeled by hyperelastic function which incorporates finite deformation nonlinearity [27,28]. Garcia et al [29] proposed a linear biphasic viscohyperelastic fibril-reinforced model of articular cartilage, but it did not account for fiber reorientation and nonlinear permeability.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

Seifzadeh

Wang

Oguamanam

et al. 2011

Journal of Biomechanical Engineering

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A nonlinear biphasic fiber-reinforced porohyperviscoelastic (BFPHVE) model of articular cartilage incorporating fiber reorientation effects during applied load was used to predict the response of ovine articular cartilage at relatively high strains (20%). The constitutive material parameters were determined using a coupled finite element-optimization algorithm that utilized stress relaxation indentation tests at relatively high strains. The proposed model incorporates the strain-hardening, tension-compression, permeability, and finite deformation nonlinearities that inherently exist in cartilage, and accounts for effects associated with fiber dispersion and reorientation and intrinsic viscoelasticity at relatively high strains. A new optimization cost function was used to overcome problems associated with large peak-to-peak differences between the predicted finite element and experimental loads that were due to the large strain levels utilized in the experiments. The optimized material parameters were found to be insensitive to the initial guesses. Using experimental data from the literature, the model was also able to predict both the lateral displacement and reaction force in unconfined compression, and the reaction force in an indentation test with a single set of material parameters. Finally, it was demonstrated that neglecting the effects of fiber reorientation and dispersion resulted in poorer agreement with experiments than when they were considered. There was an indication that the proposed BFPHVE model, which includes the intrinsic viscoelasticity of the nonfibrillar matrix (proteoglycan), might be used to model the behavior of cartilage up to relatively high strains (20%). The maximum percentage error between the indentation force predicted by the FE model using the optimized material parameters and that measured experimentally was 3%.

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A transversely isotropic viscohyperelastic material

Cited by 126 publications

References 40 publications

Consolidation-Driven Defect Generation in Thick Composite Parts

Consolidation-Driven Defect Generation in Thick Composite Parts

Mathematical and computational modelling of skin biophysics: a review

A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

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