Physical response of hyperelastic models for composite materials and soft tissues

Dương, Minh Tuấn; Nguyen, Nhu; Staat, Manfred

doi:10.1186/s40540-015-0015-x

Cited by 10 publications

(9 citation statements)

References 28 publications

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“…We have also implemented the orthotropic hyperelastic Holzapfel et al model [ 40 ] in Code_Aster which represents the effect of fibre orientation in the tissues and made some developments to overcome unphysical behaviour which may occur with this material model [ 81 ]. Recently we could show that the orthotropic compressible behaviour of two mesh implants for hernia repair could be represented by the polyconvex Itskov material model [ 82 ].…”

Section: Resultsmentioning

confidence: 99%

Modelling of Soft Connective Tissues to Investigate Female Pelvic Floor Dysfunctions

Bhattarai

Staat

2018

Computational and Mathematical Methods in Medicine

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After menopause, decreased levels of estrogen and progesterone remodel the collagen of the soft tissues thereby reducing their stiffness. Stress urinary incontinence is associated with involuntary urine leakage due to pathological movement of the pelvic organs resulting from lax suspension system, fasciae, and ligaments. This study compares the changes in the orientation and position of the female pelvic organs due to weakened fasciae, ligaments, and their combined laxity. A mixture theory weighted by respective volume fraction of elastin-collagen fibre compound (5%), adipose tissue (85%), and smooth muscle (5%) is adopted to characterize the mechanical behaviour of the fascia. The load carrying response (other than the functional response to the pelvic organs) of each fascia component, pelvic organs, muscles, and ligaments are assumed to be isotropic, hyperelastic, and incompressible. Finite element simulations are conducted during Valsalva manoeuvre with weakened tissues modelled by reduced tissue stiffness. A significant dislocation of the urethrovesical junction is observed due to weakness of the fascia (13.89 mm) compared to the ligaments (5.47 mm). The dynamics of the pelvic floor observed in this study during Valsalva manoeuvre is associated with urethral-bladder hypermobility, greater levator plate angulation, and positive Q-tip test which are observed in incontinent females.

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Section: Resultsmentioning

confidence: 99%

Modelling of Soft Connective Tissues to Investigate Female Pelvic Floor Dysfunctions

Bhattarai

Staat

2018

Computational and Mathematical Methods in Medicine

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“…With the incompressible constraint of I 3 = 1, the related tensors for the uniaxial tension mode in (29) are…”

Section: Uniaxial Tension Mode the Deformation Of Uniaxial Tension Cmentioning

confidence: 99%

“…Generally, the larger difference of stress contributions between isotropic and anisotropic parts transfers to corresponding tangent stiffness matrices. The ill-conditioned stiffness matrix occurs since the unbalance between decomposed isotropic and anisotropic parts of a stored energy functional (Duong, Nguyen, and Staat, 2015) [29].…”

Section: On Isotropic-anisotropic Splitmentioning

confidence: 99%

On Constitutive Modeling of Arteries

Zhao¹,

Study²

2019

JAAM

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The magic angle of θm = arctan[(√ 5 + 1)/2] ≈ 58.2825 • , rather than θ = arccos(1/ √ 3) ≈ 54.7356 • , has been discovered through theoretical derivations for arteries to accommodate twist buckling optimally. The magic angle matches many published experimental results by others. As byproducts of the derivation, the stable deformation ranges for normal and shear stretches are defined. The anisotropic continuum stored energy (CSE) functional has been used to model the equibiaxial tension tests of porcine thoracic aortas and special simple normal tests of human abdominal aorta aneurysms. In CSE models, constitutive constants are determined by a trial-and-error-on-digit (TED) method and the linear least squares (LLSQ) method combined.

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“…To ensure uniqueness of boundary value problem (BVP), the strain energy density function should satisfy polyconvexity criterion. Isotropic neo-Hookean model satisfies polyconvexity which in turn guarantees material stability (Schröder and Neff, 2003;Duong et al, 2015). For neo-Hookean solids, deviatoric strain energy is given by: and volumetric strain energy is given by:…”

Section: Isotropic Hyperelastic Constitutive Modelmentioning

confidence: 99%

A new 3D finite element for the finite deformation of nearly incompressible hyperelastic solids

Bijalwan¹,

Patel²

2019

IJMSI

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Volumetric locking is exhibited by nearly incompressible solids such as rubber, resulting in over-stiffening response of the finite element mesh. In this work, we developed the displacement-based computationally efficient volumetric locking-free 3D finite element using smoothening of determinant of deformation gradient (J-Bar method) within the framework of isotropic hyperelasticity. The developed methodology is employed to analyse a rubber block undergoing finite stretch and bending deformations. The convergence study for finite stretch and bending of rubber block is presented. Results of the analysis show that J-Bar method efficiently removes the volumetric locking.

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Physical response of hyperelastic models for composite materials and soft tissues

Cited by 10 publications

References 28 publications

Modelling of Soft Connective Tissues to Investigate Female Pelvic Floor Dysfunctions

Modelling of Soft Connective Tissues to Investigate Female Pelvic Floor Dysfunctions

On Constitutive Modeling of Arteries

A new 3D finite element for the finite deformation of nearly incompressible hyperelastic solids

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