An exponential constitutive model excluding fibres under compression: Application to extension–inflation of a residually stressed carotid artery

DOI10.1177/1081286517712077zbMath1401.74244OpenAlexW2626164557WikidataQ115520115 ScholiaQ115520115MaRDI QIDQ4691210

Ray W. Ogden, Gerhard A. Holzapfel, Kewei Li

Publication date: 19 October 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517712077

zbMATH Keywords

residual stressconstitutive modellingcarotid arteryfibre dispersionexclusion of compressed fibres

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (11)

A computational model for fiber-reinforced composites: hyperelastic constitutive formulation including residual stresses and damage ⋮ On the descriptive and predictive capabilities of two model approaches considering the collagen fiber dispersion in healthy and aneurysmal arteries ⋮ A hybrid microstructural-continuum multiscale approach for modeling hyperelastic fibrous soft tissue ⋮ Estimation of in vivo constitutive parameters of the aortic wall using a machine learning approach ⋮ On fibre dispersion modelling of soft biological tissues: a review ⋮ A discrete approach for modeling degraded elastic fibers in aortic dissection ⋮ A generic physics-informed neural network-based constitutive model for soft biological tissues ⋮ Stability of plane Couette flow past an initially stressed solid ⋮ Modelling of fibre dispersion and its effects on cardiac mechanics from diastole to systole ⋮ Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method ⋮ Effects of intracorneal ring segments on the biomechanical response of the ectatic cornea to air-puff: A patient-specific numerical analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• Nearly isochoric elastic deformations: Application to rubberlike solids
• Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids
• Computational method for excluding fibers under compression in modeling soft fibrous solids
• On the tension-compression switch in soft fibrous solids
• Constructing fully symmetric cubature formulae for the sphere
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

This page was built for publication: An exponential constitutive model excluding fibres under compression: Application to extension–inflation of a residually stressed carotid artery